2-1 ------DID 2-1 WORD PROBLEMS ON BELLWORK
p. 84 Toucans and Macaws are both tropical birds. The length of an average toucan is about two thirds of the length of an average macaw. Toucans are about 24 in. long. What is the length of an average Macaw?
DEFINE: Let L = length of macaw
Relate: Length of ______is _____ of length of macaw
Write Equation ______is ______x _____
Solve:
Check:
p. 84 An online DVD rental company offers gift certificates that you can use to purchase rental plans. You have a gift certificate for $30. The plan you select costs $5 per month. How many months can you purchase with the gift certificate?
p. 85 #50 You have a rack that can hold 30 CDs. You can fit 7 more CDs on the rack before the rack is full. How many CDs are in the rack?
p. 85 #51 In a 3-year period, a city’s population decreased by 7525 to about 581,600. What was the city’s population at the beginning of the 3-year period?
p. 86 #54 On a quiz show, a contestant was penalized 250 points for an incorrect answer, leaving the contestant with 1050 points. How many points did the contestant have before the penalty?
p. 86 #73 In volleyball, players serve the ball to the opposing team. If the opposing team fails to hit the ball, the service is called an ace. A player’s ace average is the number of aces served divided by the number of games played. A certain player has an ace average of 0.3 and has played in 70 games this season. How many aces has the player served?
p. 86 # 75 According to one count, the letter e makes up one eighth of a typical document written in English. A document contains 2800 letters. About how many letters in the document arenot e?
Uncooked rice has about 4/13 the weight of cooked rice. You want to make 6.5 lb of rice for a recipe. How many pounds of uncooked rice do you need?
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p. 89 You are making a bulletin board to advertise community service opportunities in your town. You plan to use half a sheet of construction paper for each ad. You need 5 sheets of construction paper for a title banner. You have 18 sheets of construction paper. How many ads can you make?
Define: let a = number of ads you can make
RELATE:
Eq:
Solve:
Check:
p.91 #23 A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 160 lb and each box of books weighs 50 lb. The maximum capacity of the elevator is 1000 lb. How many boxes of books can the delivery person bring up at one time?
p.91 #24 You have $16 and a coupon for a $5 discount at a local supermarket. A bottle of olive oil costs $7. How many bottles of olive oil can you buy?
p.91 #25 Two college friends rent an apartment. They have to pay the landlord two months’ rent and a $500 security deposit when they sign the lease. The total amount they pay the landlord is $2800. What is the rent for one month?
p.92 #58 A contractor is adding a back porch on a house. The porch needs to hold 20 people and furniture that weighs 250 lb. The contractor calculates that the porch needs to hold 3750 lb to meet that specification. What value did the contractor use for the weight of a person?
p.93 #60 Members of a car-sharing program pay a fee of $50 per month plus $7.65 for every hour they use a care. A member’s bill was $149.45 last month. How many hours did the customer use a car last month?
p.93 #61 You format a document in three columns of equal width. The document is 8.5 in wide. You want left and right margins of 1 in each. Between the columns there is a “gutter” that is one eighth as wide as each column. What is the width of each column?
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p.95 Martha takes her niece and nephew to a concert. She buys t-shirts and bumper stickers for them. The bumper stickers cost $1 each. Martha’s niece wants 1 shirt and 4 bumper stickers and her nephew wants 2 shirts but no bumper stickers. If Martha’s total is $67, what is the cost of one shirt?
DEFINE: Let s = cost of one shirt
Relate: cost of nieces stuff plus cost of nephews stuff is total Martha spent
Write Eq: (s + 4) + 2s = 67
Solve:
Check
p.95 Noah and Kate are shopping for new guitar strings in a music store. Noah buys 2 packs of strings. Kate buys 2 packs of strings and a music book. The book costs $16. Their total cost is $72. How much is one pack of strings?
p.98 #19 You have a part-time job. You work or 3 h on Friday and 6 h on Saturday. You also receive an allowance of $20 per week. You earn $92 per week. How much do you earn per hour at your part-time job?
p.98 #20 A family buys airline tickets online. Each ticket costs $167. The family buys travel insurance with each ticket that costs $19 per ticket. The website charges a fee of $16 for the entire purchase. The family is charged a total of $1132. How many tickets did the family buy?
p.99 #55 Angie and Kenny play online video games. Angie buys 1 software package and 3 months of game play. Kenny buys 1 software package and 2 months of game play. Each software package costs $20. If their total cost is $115, what is the cost of one month of game play?
p.99 #59 Three friends go bowling. The cost per person per game is $5.30. The cost to rent shoes is $2.50 per person. Their total cost is $55.20. How many games did they play?
p.99 #60 A college student is moving into a campus dormitory. The student rents a moving truck for $19.95 plus $.99 per mile. Before returning the truck, the student fills the tank with gasoline which costs $65.32. The total cost is $144.67. How many miles did the student drive the truck?
p.99 #64 CHALLENGE: You are ordering a meal and have $15 to spend. The restaurant charges 6% sales tax. You plan to leave a 15% tip. Write an equation giving the total cost c of your meal, where x is the cost before tax and tip.
p.99 #65 CHALLENGE: You have $85 in your bank account. Each week you plan to deposit $8 from your allowance and $15 from your paycheck. Write an equation giving the total amount b in your bank account after w weeks.
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p.103 It takes a designer 1.5 h to make one page of a website. Using new software, the designer could complete each page in 1.25 h, but it takes 8 h to learn the software. How many web pages would the designer have to make in order to save time using the new software?
Define: let p = the number of pages needed to make
Relate: current design time = design time with new software + time to learn software
Eq: 1.5p = 1.25p + 8
Solve:
Check:
p.103 An office manager spent $650 on a new energy-saving copier that will reduce the monthly electric bill for the office from $112 to $88. In how many months will the copier pay for itself?
p.106 #20 A hairdresser is deciding where to open her own studio. If the hairdresser chooses Location A, she will pay $1200 per month in rent and will charge $45 per haircut. If she chooses Location B, she will pay $1800 per month in rent and will charge $60 per haircut. How many haircuts would she have to give in one month to make the same profit at either location?
p.106 #41 Suppose a family drives at an average rate of 60 mi/h on the way to visit relatives and then at an average rate of 40 mi/h on the way back. The return trip take 1 h longer than the trip there.
a)Let d be the distance in miles the family traveled to visit their relatives. How many hours did it take to drive there?
b)In terms of d, how many hours did it take to make the return trip?
c)Write and solve an equation to determine the distance the family drove to see their relatives. What was the average rate for the entire trip?
p.107 #44 A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $67. A season ski pass costs $350. The skier would have to rent skis with either pass for $25 per day. How many days would the skier have to go skiing in order to make the season pass less expensive than daily passes?
p.107 #45 One health club charges a $50 sign-up fee and $65 per month. Another club charges a $90 sign-up fee and $45 per month. For what number of months is the cost of the clubs equal?
p.107 #48 A small juice company spends $1200 per day on business expenses plus $1.10 per bottle of juice they make. They charge $2.50 for each bottle of juice they produce. How many bottles of juice must the company sell in one day in order to equal its daily costs?