Ratio and Rate Problems

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Presentation transcript:

Ratio and Rate Problems Bell-ringer: page 66 numbers 22-26

Real-World Link An arcade sells game tokens individually or in packages. They are having a sale on taken packages, as shown below. How many token packages can you buy with $20? $25? Explain. What is the unit price? How much would it cost to buy 6 token packages? The arcade sells individual tokens for $0.25 each. If a token package contains 25 tokens, how much would you save by buying a package of 25 tokens instead of 25 individual tokens? Explain. Number of Packages Price 1 5 2 10 3 15

Solve Ratio Problems You can use bar diagrams or equations with equivalent ratios to solve ratio and rate problems.

Example 1. Heritage Middle School has 150 students. Two out of three students in Mr. Mason’s class prefer gel toothpaste. Use this ratio to predict how many students in the entire middle school prefer gel toothpaste.

Example 2. The ratio of the number of text messages sent by Lucas to the number of text messages sent by his sister is 3 to 4. Lucas sent 18 text messages. How may text messages did his sister send?

GOT IT? In a survey, four out of five people preferred creamy over chunky peanut butter. There are 120 people shopping at the grocery store. Use the survey to predict how many people in the store would prefer creamy peanut butter. A survey found that 12 out of every 15 people in the U.S. prefer eating at a restaurant over cooking at home. If 400 people elected eating at a restaurant on the survey, how many people took the survey?

Solve Rate Problems You can use double number lines or equations to sole rate problems.

Example 3. The Millers drove 105 miles on 4 gallons of gas. At this rate, how many miles can they drive on 6 gallons of gas?

GOT IT? c. There are 810 Calories in 3 scoops of vanilla ice cream. How many Calories are there is 7 scoops of ice cream?

Example 4. Jeremy drove his motorcycle 120 miles in 3 hours. At this rate, how many miles can he drie in 5 hours? At what rate did he drive his motorcycle?

GOT IT? d. STEM: while resting, a human takes in about 5 liters of air in 30 seconds At this rate how many liters of air does he take in during 150 seconds.

Homework Page 75 numbers 1-7