Section 6.7:
Word Problems
Pull
Altin and Brian had lunch at the mall. Altin ordered three slices of pizza and two colas. Brian ordered two slices of pizza and three colas. Altin’s bill was $6.00, and Brian’s bill was $5.25. What was the price of one slice of pizza? What was the price of one cola?
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The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. How many children and how many adults attended?
A landscaping company placed two orders with a nursery. The first order was for 13 bushes and 4 trees, and totaled $487. The second order was for 6 bushes and 2 trees, and totaled $232. What were the costs of one bush and of one tree?
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Toni has $2.35 in nickels and dimes. If she has a total of thirty­two coins, how many of each coin does she have?
Pull
Two small pitchers and one large pitcher can hold 8 cups of water. One large pitcher minus one small pitcher constitutes 2 cups of water. How many cups of water can each pitcher hold?
44 The sum of two numbers is 47, and their difference is 15. What is the larger number?
45 Valdrin rented a sprayer and a generator. On his first job, he used each piece of equipment for 6 hours at a total cost of $90. On his second job, he used the sprayer for 4 hours and the generator for 8 hours at a total cost of $100. What was the hourly cost for the sprayer?
C 32
Solution
A 16
B 31
B
Solution
D 36
$ 5 per hour
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46 You have 15 coins in your pocket that are either quarters or nickels. They total $2.75. How many quarters do you have?
B
10 quarters
Solution
Solution
A no intersection
C
Solution
47 What is true of the graphs of the two lines 3y ­ 8 = ­5x and 3x = 2y ­18?
57 pks of gift
intersect at (2,­6)
C intersect at (­2,6)
D are identical
49 Your class receives $1105 for selling 205 packages of greeting cards and gift wrap. A pack of cards costs $4 and a pack of gift wrap costs $9
Set up a system and solve. How many packages of cards were sold?
Set up a system and solve. How many packages of gift wrap were sold?
Solution
48 Your class receives $1105 for selling 205 packages of greeting cards and gift wrap. A pack of cards costs $4 and a pack of gift wrap costs $9
148 pks of cards
You will answer how many packages of gift wrap in the next question.
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51 You have 15 coins in your pocket that are either quarters or nickels. They total $2.75. Set up a system to solve. Which method will you use? (Solving it comes later...)
Solution
50 You have 15 coins in your pocket that are either quarters or nickels. They total $2.75. How many nickels do you have?
substitution
Solution
A graphing
B
B
C elimination
Julia went to the movies and bought one jumbo popcorn and two chocolate chip cookies for $5.00. Marvin went to the same movie and bought one jumbo popcorn and four chocolate chip cookies for $6.00. How much does one chocolate chip cookie cost?
A $0.50
B
$0.75
Solution
52
A
C $1.00 D $2.00
From the New York State Education Department. Office of Assessment Policy, Development and Administration. Internet. Available from www.nysedregents.org/IntegratedAlgebra; accessed 17, June, 2011.
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