WORD PROBLEMS WITH WHOLE #’S, FRACTIONS, DECIMALS, RATIOS & PERCENTS
DIRECTIONS:
- Write money in proper form.
- Reduce fractions/ratios to lowest terms.
- Round decimals to nearest cent/hundredth.
DO NOT USE A CALCULATOR!!!
Find each answer.
1) Your take-home pay as a nurse was $1842 last month. You also had take-home pay of $318 as a part-time firefighter. Your expenses included: housing - $776, food - $172, transportation - $78, other - $236.
a) What was your total take-home pay last month?
b) What were your total expenses last month?
c) If you added an additional expense of $450 for a weekend trip to Vermont, would your take-home payhave covered your new total of expenses?
2) You have already spent $230 of the $876 budgeted for your new roof. You will need an order of shingles that will cost $535. How much will you have left in the budget after buying the shingles?
3) You opened a new checking account by depositing $500. At the end of the week, you wrote expense checks for $28, $102, $30, and $104.
a) What was your total of the checks you wrote?
b) What was your new balance?
4) If you cut your caloric intake by 450 Calories per day, how many Calories will you have cut out for the week?
5) Next month your band will attend the International Festival. Meals for the 36 members of the band will cost $28 each, and bus tickets will cost $125 each. What will the total cost of meals and transportation be for the band?
6) Would three million dollars be enough to cover the money won by the winning professional golfers in the first ten tournaments in 1996? In six of these tournaments the winner earned $434,000, in three tournaments the winner earned $296,000, and in the other tournament the winner earned $325,000.
7) You borrowed $295 from a friend. After giving him $25 each month for seven months, how much do you still owe him?
8) If a plane trip 2215 miles takes 5 hours, how many miles are traveled per hour?
9) A 76-mile trip on a regularly scheduled bus costs $608. The Delta Tour Bus Special charges $651 for a 93-mile trip.
a) What is the unit price (cost per mile) for the regular run?
b) What is the unit price (cost per mile) for the Delta Tour Bus Special?
10) The balance in your savings account was $562 before earning $32 in interest.
a) What was the balance after the interest was added?
b) Ten days after the interest was added, you withdrew $193 for holiday shopping. What was your new balance?
11) As a carpet installer, you made $927 last month. Working part-time as a DJ, you made an additional $350 during the month. Your business expenses included:
Travel$127
Meals$121
Equipment$144
Supplies$56
Phone$22
a)What was your total income for the month?
b)What were your total business expenses for the month?
c)What was last month’s profit?
12) The employees of the Bring-a-Bag Company have up to 35 years of experience with the company. The table describes the number of employees in each of the four categories.
Number of employees / Length of employment15 / 0-9 years
6 / 10-19 years
12 / 20-29 years
10 / 30-35 years
a)How many employees does Bring-a-Bag Company have in its employ?
b)How many employees have 20 or more years of experience?
13) When Sasha filled her gas tank, the odometer reading was 38,162 miles. When she filled it again, it took 14 gallons of gas and the odometer reading was 38,554 miles.
a)How far did she drive?
b)How many miles per gallon did she get?
14) To repair Anita Madrid’s TV set will cost $85 for parts and $65 for labor. A new set will cost $299 and they will give Anita $50 for her old TV. How much will she save if she decides to repair her TV instead of buying a new set?
15) Mrs. Shah’s algebra class had the following number of students present during the week: 31, 28, 27, 30 and 29. What was the average attendance for that week?
16) To earn a free airline ticket to Europe, Charles must accumulate 10,000 miles. Because of his job, he has earned 864 miles, 3030 miles, 627 miles, 1040 miles and 2500 miles. How many more miles must Charles travel to earn a free trip to Europe?
17) You want to save $4560 for a trip two years from now. How much should you save each month to have the $4560 by then?
18) If a realtor sells $3,458,000 worth of real estate in a year, what is the average amount sold each week?
19) Place the following numbers on a number line. The number line must be neat and have the appropriate elements.
2 4/5, 5 1/6, 3/4, 3 1/2, 6 2/3, 5, 3 1/4, 2/7
20) On a true/false test you get 19 correct answers out of 25 questions, what fractional part did you get correct?
21) If 88 out of 100 coins in a piggy bank are pennies, what fractional part of the coins are not pennies?
22) The Palm Inc. has hired you to design the seating arrangements for their new lecture/conference hall. The hall will seat 585 people. The best seats are in section A, which seats 177 people, and section B, which seats 260. The Palm, Inc. will rent out the lecture/conference hall for $55 per seat.
a) What fractional part of the lecture/conference hall's seats are the best seats?
b) How much will Jenny Craig pay to rent all the seats in the lecture/conference hall?
23) All 14,000 tickets were sold for a soccer game. What fraction of the fans were "no-shows", if because of rainy weather only 10,400 actually attend the game?
24) How many 3 1/2 feet pieces of rope can be cut from a 49 feet coil of rope?
25) A pole is 35 3/4 feet long. If 3/8 of the pole is underground, then how many feet of the pole are above ground?
26) Lenny weighed 134 2/3 pounds at the age of 14 and 236 3/4 pounds at age 18. How much did he gain in the 4 years?
27) On a trip of 1680 miles, you filled up the gas tank four times with 14 1/2m 15 1/5, 16 1/10, and 14 2/5 gallons of gas. How many miles did your car travel per gallon of gas?
28) A share of INPEL stock sells for 24 3/5 dollars. How much would 145 shares of the stock cost?
29) You want to replace a rusted water pipe that is 9 2/3 feet long. You also plan to add two 5 3/4 foot extension to the pipe. What is the total length of the new pipe needed?
30) You removed the door between your kitchen and dining room and enlarged the opening. The door was 34 5/6 wide and 89 inches high. The new opening is 48 1/3 inches wide and 92 1/5 inches high.
a) How much wider is the new opening?
b) How much higher is the new opening?
31) The roasting time for a 16 to 20 pound ham is 1/4 hour per pound. How long will it take to roast a 16 1/2pound ham?
32) Carlina practices the cello 3/4 of an hour a day. If she practices 6 days a week, how many hours will she have practiced in one year?
33) Franco, Kyle and 93,998 other golfers each own one share in the Pippy Hills Golf Course. If Kyle sells his share to Franco, what fraction of the total shares does Franco own?
34) You have decided not to use your air conditioner this summer. It is estimated that this will save 7/10 of the cost of electricity each month. Last year your electric bill for the months of June, July and August averaged $130 each month. How much total can you expect to save this summer?
35) You have been averaging 28 1/2 miles on one gallon of gas. By keeping your highway speed down to 55 miles per hour, your mileage per gallon could be increased by 3/20. How many miles can you expect to get per gallon if you keep your highway speed down?
36) To build a new sun deck, you have bought 8 one-by-fours, each measuring 12 1/8 feet in length. How many linear feet of one-by-fours have you bought?
37) A wood screw advances 1/16 inch for each complete turn. How far will the screw advance in 8 complete turns?
38) Celeste bought a 10 pound bag of fertilizer for her lawn. She spread 3/8 of it on her lawn. How many pounds remain for Celeste to fertilize her lawn for next time?
39) Santino bought 5 2/3 pounds of creamer to make his homemade ice cream. He only used
3 ½ pounds of creamer. How many pounds of creamer are left for him to make ice cream next week?
40) You would like to cover the rectangular dining room table with glass so as not to ruin the wood. The length is 18 feet and the width is 9 ¾ feet. How much glass will you need to cover the table?
41) You have ordered 14 lengths of one-by-tens for use as shelves. Each of the one-by-tens is 9 feet long. The lumber costs 96 ½ cents per linear foot.How much did the order cost?
42) Last month the Rubber Wheels Service paid wages totaling $103820.60. This month’s wages will total $114460.20. The increase will be paid from a $20,000 reserve account. Money from the reserve account will also be used to purchase a $5670.75 crane and a $4583.10 lift.
a)By how much have the wages increased?
b)How much will be left in the reserve account after paying for the wage increase and new equipment?
c)When the balance in the reserve account goes below $50.00, a warning is issued to the company’s president. Will the president be notified this month?
43) A cashier's drawer contains 12 dimes, 20 nickels, 15 quarters and 55 pennies. What is the ratio of the monetary value of the following:
a) nickels to quarters
b) dimes to pennies
c) dimes and nickels to all the money in the cashier's drawer
44) Express each ratio as a fraction in simplest form.
a) 5 inches to 6 feet (12 inches = 1 foot)
b) 3 3/4 ounces to 10 1/2 ounces
c) 7.5 feet to 30 yards (3 feet = 1 yard)
45) Inventory records for the Technix Electronics Company list 54 stereos in the warehouse. When the warehouse was checked, only 48 stereos were found. What is the ratio of the number of stereos in the warehouse to the number of stereos listed in the inventory records?
46) A new shipment of cameras increased the inventory from 360 to 420 cameras. What is the ratio of the number of cameras in the shipment to the number of cameras in the inventory before the shipment?
47) You are a production supervisor for a company that manufactures toasters. During one shift, 85 of the toasters were in working order, and 5 toasters were defective. What is the ratio of the number of defective toasters to the total number of toasters manufactured?
48) A lathe worker can make 320 cuts in 8 hours. On the average, how many cuts can be made in one hour?
49) A pipe company can produce 395,000 feet of plastic pipe for $45,000. What is the price per foot?
50) A manufacturing company can produce 580 curling irons in 14 hours.
a) On the average, how many curling irons can be produced per hour?
b) If each curling iron sells for $22.99, what is the total income on the curling irons produced in 8 hours?
51) You are a food supervisor for Wing Airlines. You provide passengers with two choices for dinner on long flights. Your records show that 5 chicken dinners are selected for every 2 vegetarian dinners. If you supply one flight with 150 chicken dinners, how many vegetarian dinners should you supply?
52) As a production assistant in a community theater, you know that for every 3 people who attend a production on Thursday night, 7 will attend on Friday night. You counted 294 people at Thursday night's production. How many people would you expect to attend on Friday night?
53) Records of your sales performance over the last year show that you sell 7 used cars for every 3 new cars. You sold 246 used cars last year.
a) How many new cars did you sell last year?
b) You receive a $255 commission for each used car you sell and $450 for each new car you sell. What was your total commission for selling cars last year?
54) A recent survey shows that 3 out of every 5 women will breast feed their newborn. If 561,000 babies were born in New Jersey, how many of them will not be breast fed by their mother?
55) If a vertical yardstick (3 feet) casts a shadow of 1 3/4 feet, how tall is a building that casts a shadow of 82 feet?
56) If a 5.5 inch line on a map represents a 9 mile road, how many miles would be represented by a 25.5 inch line?
57) For every 10 people that complete a certain class four do not finish. At that rate, out of 42 enrolled in the class how many will finish the class?
58) If a roller hockey's ratio of wins to losses over the last 3 years is 8 to 5, howmany wins did it have out of the 156 games played?
59) If you can drive 160 miles in 3 hours, how long will it take to drive 400 miles at the same rate?
60) The property tax on a house valued at $291000 is $3745 in WhitneyCounty. The property tax on a house valued at $545000 is $6225 in HousenCounty.
a)What is the ratio of property tax in WhitneyCounty to HousenCounty?
b)What would be the property tax on a house valued at $545000 in WhitneyCounty?
c)What would be the property tax on a house valued at $291000 in HousenCounty?
61) Convert each percent to a decimal and a fraction.
a) 5% b) 8.4% c) 9 3/4% d) 138%
62) Convert each fraction to a decimal and a percent.
a) 12/50 b) 7/10 c) 2 4/5
63) Convert each decimal to a fraction and a percent.
a) 0.04 b) 0.1375 c) 3.075
64) Eighteen is 40% of what number? 65) What is 5% of 1045?
66) What percent of 220 is 44.6? 67) Twenty-four is 4 2/3% of what number?
68) What is 17.5% of 115 1/2. 69) One-fourth is what percent of 5/8?
70) An insurance company discovered that 66% of the accidents in a certain chemical plant caused serious injury. What fraction of the accidents in the plant did not cause serious injury?
71) A survey of employees in your company revealed that 4/9 of them would like a company-paid dental insurance policy instead of an increase in vacation days. What percent of the employees did not want the company-paid dental insurance?
72) What is the final price of a $1498.99 leather sofa, if 6 1/2% sales tax is charged?
73) How much would a $980.49 refrigerator cost after a 30% discount?
74) If you picked 6 of the winners out of 15 horse races, what percent did you pick incorrectly?
75) What is the net pay on $789.25 after deductions of 7.65% for insurance, 10% for federal income tax, and 1.5% for state taxes?
76) Sixty percent of the students in a class get grades above a "C". If 27 people get above a "C" grade, how many were in the class?
77) Suppose 1.8% of the light bulbs shipped from a factory are defective. If there are 45 defective light bulbs in the shipment, how many light bulbs were not defective in the shipment?
78) The U.S. Bureau of Statistics estimates that there will be a 74.4% increase in special education teachers by the year 2005. In 1992, there were 358,000 special ed teachers. How many are estimated for 2005?
79) A publisher's warehouse was destroyed by a tornado. The company received a disaster loan of $172,000. The annual interest rate for the loan is 3% and the loan is to be repaid over a 12-year period. Find the total interest charge for the loan.
80) C.C. Banks Company manufactures high-quality food processors. The company has borrowed $235,000 to advertise its newest product. The loan is for 9 months at an interest rate of 11.8%. Find the total amount to be repaid to the bank.
81) A retailer purchased merchandise costing $15,500. By paying within 30 days, the retailer received a $500 discount. What was the discount rate?
82) The Palermo Construction Company can buy sinks from a plumbing supply house for $99 each. The company then sells each sink for $45 above the cost. Find the markup rate on the cost of a sink.
83) A lighting fixture store is reducing the price of a hanging lamp from $296.00 to $240.00. What is the discount rate on the regular price of the lamp?
84) The regular price of a suit is $239.99. The suit is on sale at a 25% discount. What is the sale price?
85) A company manufactures television sets. During July the company found 22 defective television sets, which represents a 2% defective rate. If it cost $96800 to manufacture all of the television sets, find the cost of manufacturing each television set.
86) Mr. Prague earns on average $1225.76 a month. Mrs. Prague earns on average $965.75 a month. They spend 95% of their combined income and save the balance. What are the monthly savings of this family for a year?
87) If Tameka must have a grade of 79% to pass a test with 58 questions, what is the number of questions she may miss and still pass the test?
88) In 1980, a survey of 200,000 households indicated that 1.2% that received a catalog would order a product from it. In 2000, the same amount of households were surveyed and 65.8% said they would order a product from the catalog.
a) In 1980, how many households ordered a product from a catalog?
b) In 2000, how many households ordered a product from a catalog?
c) How many more households order a product from a catalog in 2000 than in 1980?
89) You are the owner of a campground of StonehillMountain. Due to last spring’s cold weather, you did not make enough money to pay for the necessary repairs to the cabins. To pay for the repairs you will take out a loan for $223,000. You cannot afford payments greater than $12000 per month. Bank One has offered to loan you the money for 18 months at the annual interest rate of 16%. Wehere Bank has offered to loan you the money for 2 years at the annual interest rate of 12.75%.