WORD PROBLEMS WITH FRACTIONS
DIRECTIONS:
- Write money in proper form.
- Reduce fractions/ratios to lowest terms.
- Round decimals to the nearest cent/hundredths.
1) There are 99 students in the fifth grade of LuisNinesCommunitySchool. Fifty-five of the students are girls. What fractional part of the students are girls?
2) Consider the following display:
What fractional part of the display consists of hearts?
3) Orville found that of the senior citizens in his town of Oakland, NJ, needed food stamps to survive. What fractional part of the senior citizens did not need food stamps?
4) At the local movie theater, 65 out of 95 movies lasted only one week. What fractional part of the movies was more successful? (lasted more than one week?)
5) Rosie bought a used convertible for $16,000. She then paid $2,000 to make it look and run like new. What fractional part of her total investment in the car went to make it look and run like new?
6) You have been asked to design a chart showing the seating in the Bard Theatre. The Theatre has 35,600 seats. The orchestra section seats 16,400, the mezzanine section seats 8200 and the balcony sections seats 400.
a)What fraction of the total seating is in the mezzanine section?
b)If 1600 senior citizens buy orchestra seats, what fraction of the orchestra section do they fill?
c)Orchestra seats cost $65. Mezzanine seats cost $40. Balcony seats cost $50. The Taming of the Shrew was playing at the Bard Theatre on Friday night, Saturday night and 2 showings on Sunday (matinee and evening). If the Theatre had sold all the seats for all the shows, how much money did the Theatre make?
7) The O’Dells are driving from Philadelphia to Cleveland, a distance of 440 miles. By noon they had traveled 180 miles. What fraction of the trip have they completed?
8) Mikos received $50 for his birthday from his grandfather. He bough a CD for $15. What fraction of his money does he have left?
9) Ghalib found that there were 2,400 people living on his block in Jersey City. He also found that 600 of these people were senior citizens. What fractional part of the people were senior citizens?
10) Two manufacturers of plastic trash bags claim to make the “toughest” bag in the business. The Bulldog Bag is centimeter thick. The Superbag is centimeter thick.
a)Write the two thickness values with a LCD.
b)Which of the bags is thicker?
11) Sonya purchased acre of land in SussexCounty during the 1940’s when land was cheap. This year she sold off acre for $200,000. How much land did she have left?
12) Tomas bought 1/3 pound of mushrooms, 5/6 pound of tomatoes, and 5/12 pound of eggplant to make his famous “Zuppa Italiano.” How many pounds of vegetables did he purchase in total?
13) Unnah sent a package to her sister Violeta that weighed 15/22 pounds. She then mailed a package to her brother Wilhelm which weighed 9/22 pounds. How much more did Violeta’s package weigh than Wilhelm’s?
14) Xavia’s hair was 4/7 inch long when she was discharged from the Marines. In the next month, it had grown an additional 2/7 inch. How long was her hair after the month was over?
15) Yuri was responsible for installing emergency telephones every mile along Route 234. How many telephones would he need to install along a mile stretch of the road?
16) Armin, the national sprint champion sprinted miles in minutes. What is his speed in miles per minute?
17) Badu used gallons of gasoline to drive from Hackensack to Cape May in his Honda Civic. His sister Chloe used times as much gasoline for the same trip by driving her Cadillac Eldorado. How much gasoline did Chloe use?
18) Darleen needs pound of butter to make her famous lemon pound cake. How many cakes can she make if she has pound of butter to work with?
19) Eugene’s history class had 18 students in it. He assigned of them to write a term paper on the Civil War. How many students were writing papers on the Civil War?
20) Fernanda owned of the controlling shares of the City-Wide Investment Corp. After her divorce, she was forced to give her ex-husband of her holdings. How much did she have to give her ex-husband?
21) The following puppies were born at the NorthshoreAnimalMaternityHospital:
Tina pound Betsy pound Nora pound Mikey pound
a) Which was the heaviest puppy?
b) Which was the lightest puppy?
c) What is the difference in weight between the heaviest and lightest puppies?
d) For the first week, it is recommended that the puppies eat only 2/3 of their weight. How much dog food does the person who adopted Nora have to buy?
22) Penny weighed 75 pounds when she was in the fourth grade. She became very ill and lost pounds. What was her weight after the weight loss?
23) Roberto drove miles to visit his sweetheart Selena in Pennsylvania. He took a short cut home and only had to drive miles. How many fewer miles did he drive coming home than going?
24) Tirtha decided to paint all her rooms with the color eggshell. Tirtha needed gallons for her living room, gallons for her kitchen and gallons for her bedroom. How many gallons of paint did she need in total?
25) Valentina worked 40 hours at “Toys Are Us” during the week of March 17. She worked hours on Monday, hours on Tuesday, hours on Wednesday, and hours on Thursday. How many hours did she work on Friday?
26) Waldo’s World of Romance, a restaurant, plays romantic music constantly. Each tape takes hours. How many tapes are played during the hours that the restaurant is open each day?
27) Zelig filled a 20-cup punch bowl with his special New Orleans Milk Punch. How many cup servings can he expect to have for the full bowl?
28) Yvette Armstong, Vice-President of Concordian Heart College, awarded scholarships to of its 1900 students. How many students received scholarships?
29) Aaron Caldwell’s tractor trailer gets miles per gallon. He drove the truck 13 miles between The Bronx and Queens. How many gallons of gas did he use?
30) To make a gallon of solution used in testing blood, you need ounces of chemical B. You have three partially filled containers of chemical B - the first contains 8 ounces, the second contains ounces and the third contains ounces.
a)How much of chemical B do you have in your three containers?
b)The supply room has only 5 ounces of the chemical, but another technician can lend you ounces. How much will get from these two sources?
c)After the loan from the supply room and the other technician, will you have enough of chemical B to make two gallons of the solution?
31) Lee Hong rode his mountain bike through part of the Sangre de Cristo Mountains in New Mexico. On Wednesday he rode miles. On Thursday he rode miles. What was his total biking distance during those two days?
32) Ronald had a 55-ounce bottle of his own marinade sauce. For his 4th of July barbeque, he used of it on his steaks. How much of the marinade is left?
33) How many blouses can be manufactured from a piece of fabric 63 yards long if each blouse requires ¾ of a yard?
34) Barbara walked miles to church, then of a mile to the grocery store and then of a mile home. If this is her routine every Monday, Wednesday and Friday, how many miles does she walk altogether in a year?
35) If Kevin ate of a pizza and Sandy ate of the same pizza, what fraction of the pizza remains?
36) It is estimated that of your fuel expenses can be saved by installing storm windows and doors in your home. You expect to pay $672 next year for fuel. If you install storm windows and doors, how much can you expect to save?
37) You have decided not to use your air conditioner this summer. It is estimated that this will save of the cost of electricity for the months of June, July and August. Last year the electric bill for each of these months was $320.
How much will you pay this year?
38) The opening price at 9:00 a.m. for Harley Davidson stock was $. By noon its value had increased to
$49 ¾. How much did the stock increase in value?
39) Raymond Smith is allowed to work a maximum of 15 hours per week at his work-study job. On Monday, he worked 3 ½ hours and on Wednesday he worked hours.
a)How many more hours can he work?
b)If he gets paid $6 an hour, how much does he make in a year?
40) To reduce the use of electricity in your office building, you have been advised to install an automatically controlled lighting system. This will reduce the electrical usage by of its present value. Your average usage is now 18,000 kWh per month. How many kWh of electricity would you use per month if you had the new system?
41) Lois Mulhair requires 27 yards of fabric to upholster a sofa and yards to upholster a matching chair. If she had 50 yards of the fabric, will she have enough to upholster another matching chair?
42) Bobby wants to put fencing around his rectangular flowerbed that measures 12 ¾ feet by 9 ½ feet. How many feet of fencing does he need?
43) 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?
44) Carina can type pages in an hour. How many pages can she type in 2 ½ hours?
45) Brendan drove his car 550 miles on gallons of gas. How many miles per gallon did he get?
46) The length of a business sign is feet. The owner wants a feet long logo repeated across the bottom of the sign. How many times will the logo be repeated on the sign?
47) Seventy-eight ounces of spaghetti are to be distributed into 6 ½ ounce jars. How many jars will you need?
48) You have 88 ounces of homemade rice pudding to share with friends.
a)If each serving should be ounces, how many people can be served?
b)You know from the ingredients that there are 450 Calories in each -ounce serving. How many Calories are there in each ounce of the rice pudding?
49) Your Banana Nut Bread has been praised as being the best in town. The following recipe that you decided to share with the town serves 12 people.
6 bananas (smashed)6 eggs
2 ½ cups of sugar2 tablespoons baking soda
3 ¼ cups of flour2 tablespoons salt
2 cups of walnuts
a)The Calcutta family only has 6 people. How much of each ingredient does Mrs. Calcutta need?
b)The Rollins family only has 4 people. How much of each ingredient does Mr. Rollins need?
c)The Lindenburg family has a total of 24 people when they invite for Thanksgiving dinner. How much of each ingredient does Mrs. Lindenburg need?
50) There are 600 voters on block 34 of election district 276. 150 of the voters are registered Democrats. What fractional part of the voters are Democrats?
51) Boris noticed that of the patients in his clinic suffered from asthma. What fractional part of his patients do not suffer from asthma?
52) An interesting use of fractions is found among the rural farm areas of the Maritime Provinces (New Brunswick, Nova Scotia, and Prince Edward Island) of Canada. They have a custom of “farming on the halves” and farming on other fractional values as well.
Everett Hatfield raises a blueberry crop in Nova Scotia on 40 acres of land. He has arranged with the local farmers’ cooperative to “farm on the halves.” He will share one half of the expenses of raising the crop and one half of the profits with the local cooperative. It cost $1300 to burn a portion of the fields each year with a portable propane burner to maximize the yield of the blueberry crop. If his fields bring in 23 tons of blueberries, the price of blueberries is $2 ½ per pound and the workers are paid $1 ¾ per pound to pick the blueberries, how much profit will he take in?
53) What fractional part of the display to the right consists of hearts?
54) Velma ordered ton of cement to pave the driveways of her condominium complex. Each driveway needed ton. How many driveways could she pave?
55) Sakima found that members of his community wanted a Pathmark to open up near by. of the members were women. What fractional part of the pro-Pathmark members of the community were
women?
56) Quintin bought 15 cartons of mixed auto parts at an auction. He found that he could re-sell of the cartons. How many cartons could he re-sell?
57) Rokani’s property in upstate New York was miles long and miles wide. How many square miles does his property cover?
58) Troy entered his son Uri in the Creeping Toddler Race in Coney Island. Uri could walk at a rate of
mile per hour. How far could he go in 3 hours?
59) Kendra found that there were 864 male students at Parsons College of Fine Arts. 12 of these students were photography majors. What fraction of the male students were photography majors?
60) Harikh ordered 24 pounds of potato salad for her company’s annual banquet: “The Silver Hair Awards.” When the potato salad arrived, she discovered that of it was spoiled and had to be discarded. How many pounds could she serve at the banquet?
61) Tracey needed liter of saline solution for her patient, Mira Aguerda. The bottle in the infirmary cabinet contained liter. How much additional solution did Tracey need?
62) Yenelda, a biochemist, designed a way to synthesize grams of a vaccine per hour. How many hours will it take Yenelda to synthesize grams of the vaccine?
63) Fatima, the white line painter for TajosCounty, found that she needed gallons of paint for each mile of road. The County has 17 gallons of paint in the warehouse. Is there enough paint in the warehouse for Fatima to paint 2 miles of road?
64) Wahid was very concerned about the huge term paper which was assigned by his history teacher. He decided to complete of the paper during the month of February and of the paper during March. How much of the paper does he plan to have completed by the end of March?
65) Gregory decided to build townhouses on acre of land. Each townhouse was to have acre of property. How many townhouses could he build?
66) Victoria bought a piece of property in Florida that was acres. When she visited the property, she discovered that acre was covered with swamp land and she could not build a home on it. How much land was available to build the home?
67) Paul Lukas, quality control officer of “Twinkle Treat Snack cakes” weighed four cupcake samples:
Chocolate pound Vanilla pound Coconut pound Peanut butter pound
a) Which was the heaviest cupcake?
b) Which was the lightest cupcake?
c) What is the difference in weight between the heaviest and lightest cupcakes?
d) The company made a 54 pound chocolate batter for the cupcakes. How many chocolate cupcakes can be made?
68) Each person who works for the Equitable Life Insurance Company is expected to work 40 hours per week. Kenton Fitch had already worked 31 hours by the time he left work on Wednesday. How many more hours did he have to work to complete his week?
69) Iridia needed to run 30 miles each week to in order to qualify for the “Lovely Ladies 50 Meter Dash.” She ran 5 miles on Monday, 10 miles on Tuesday, 8 miles on Wednesday and the rest on Saturday. How many miles did she run on Saturday?
70) Johnny bought 2 pounds of grapes at $2 per pound, pounds of cherries at $4 per pound,
pounds of apples at $2 per pound, and pounds of strawberries at $3 per pound. How much did Johnny spend on fruit at the supermarket?
ANSWERS
(need to reduce to lowest terms)
1) 55/99 2) 8/19 3) 48/120 4) 30/95 5) 2000/18000 6) a) 8200/356000 b) 1600/16400
c) $5,656,000 7) 180/440 8) 35/50 9) 600/2400 10) a) 3/1000, 4/1000 b) superbag
11) 1/9 acre 12) 1 7/12 lbs 13) 6/22 14) 6/7 inches 15) 12 phones 16) 3/7 miles/minute
17) 30 1/3 gallons 18) 1 1/3 cakes 19) 8 students 20) 9/20 share 21) a) Tina b) Mikey
c) 9/20 lb d) 7/20 lb 22) 56 3/8 lbs 23) 30 11/15 miles 24) 69 17/20 gallons 25) 8 7/8 hrs
26) 6 tapes 27) 25 cups 28) 228 students 29) 10 9/16 gallons 30) a) 13 32/35 oz
b) 9 3/5 oz c) yes 31) 43 1/8 miles 32) 5 ½ oz 33) 84 blouses 34) 1836 9/10 miles
35) 5/24 remains 36) $112 saved 37) $120 38) $1 11/12 39) a) 7 9/10 hrs b) $4680
40) 8000 kWh 41) yes 42) 44 ½ ft 43) 175 ½ sq. ft 44) 13 1/3 pgs 45) 21 17/23 mi/gal
46) 62 times 47) 12 jars 48) a) 19 people b) 96 3/7 Cal/oz
49) a) 3 bananas, 1 ¼ sugar, 1 5/8 flour, 3 eggs, 1 tbsp baking soda, 1 tbsp salt, 1 cup walnuts
b) 2 bananas, 5/6 sugar, 1 1/12 flour, 2 eggs, 2/3 tbsp baking soda, 2/3 tbsp salt, 2/3 cup walnuts
c) 12 bananas, 5 sugar, 6 ½ flour, 12 eggs, 4 tbsp baking soda, 4 tbsp salt, 4 cups walnuts
50) 150/600 51) 55/100 52) $37,050 profit 53) 6/13 54) 9 driveways 55) 143/200
56) 6 cartons 57) 3/8 sq. miles 58) 2 3/16 miles 59) 1/72 60) 15 lbs 61) 9/32 liters
62) 2 14/65 hrs 63) yes 64) 5/12 65) 3 townhouses 66) 3/5 acres 67) a) peanut butter b) chocolate c) 9/40 lbs d) 365 cupcakes 68) 8 1/5 hrs 69) 5 1/5 hrs 70) $30 1/12
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