Homework Explained - Math Practice 101

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Chapter 1: Ratios and Rates; Chapter Review

### Problem Solving

• Question 1

Amos has 12 action, 15 comedy, and 9 drama DVDs. Find the ratio of action DVDs to the total number of DVDs. Then explain its meaning.

• Question 2

A basketball player signs a contract that pays him $16 million over 4 years. What is his average pay per year? • $ million
• Question 3

In a parking lot, 3 out of 8 vehicles were trucks. If there were 128 vehicles, complete the ratio table to find the number of trucks.

•  trucks
• Question 4

Isabelle bought 12 wallet-sized photos for $36. Use a ratio table to determine how much she will pay for 5 more photos. • $
• Question 5

Justify Conclusions The temperature rose 4°F every 90 minutes before noon and rose 2°F every 45 minutes after noon. Are these rates equivalent? Explain your reasoning.

• yes
• no
• Question 6

Justify Conclusions Stacey made 8 necklaces in 48 minutes. Nick made 4 necklaces in 24 minutes. Is the rate at which they made necklaces equivalent? Explain your reasoning

• yes
• no
• Question 7

In the sixth grade, 12 out of 27 students have a dog. If there are 162 students, how many would have a dog?

•  students

### Community Party

A local club is hosting a party at the school gym. Seeking to establish a connection with the community, the club will be providing a fun event and a meal for the children. The doors open at 6:00 P.M. and the games begin at 6:30 P.M.

• Question 8

Part A

As the assistant to the party director, you are instructed to split the children into groups so there is an equal number of children in each group. Each group must also have the same number of children from each age range. At 6:00 P.M., what is the greatest number of groups that can be created? How many children of each age range are represented in each group?

•  groups
• Question 8

Part B

Additional children arrive at 6:30 P.M. What is the greatest number of groups that can be created using the same guidelines in Part A?

•  groups
• Question 8

Part C

The students begin to play games. Each game takes 10 minutes to complete. There are five game stations, so five games can be played at once. Based on your answer to Part B, how long will it take all the groups to play every game? Explain your answer.

•  minutes
• Question 8

Part D

Each child receives a meal, which consists of a hamburger, a bag of pretzels, and a drink for the children ages 6-10 and a hamburger, two bags of pretzels, and a drink for the children that are older than 10. It costs the club $0.80 for each hamburger,$035 for each bag of pretzels, and $0.60 for each drink. Calculate the cost to feed each age group, as well as the total cost to feed all the children. •  Ages 6-10$ Ages 11-14 $Total cost$

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