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Ratios and Unit Rates

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**Ratio – a comparison of two quantities by division**

Ratios can be written in three ways: 1) as a fraction in simplest form 2) with the word “ to ” 3) with a colon “ : ”

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Examples: Four out of five dentists surveyed recommend sugarless gum for their patients who chew gum to :5 5 9 people out of 20 like chocolate ice cream to :20 20

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**In a class of thirty students, thirteen are boys**

In a class of thirty students, thirteen are boys. Write a ratio for the number of boys to students in the class. 13/ to :30 Write a ratio for the number of boys to the number of girls. 13/ to :17

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**Out of 100 students, 40 said they had afterschool jobs**

Out of 100 students, 40 said they had afterschool jobs. Write a ratio for the number of students who had jobs to the number who did not. 40/60 = 2/3 40 to 60 = 2 to :60 = 2:3

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**24 questions correct on a 100-question test **

6 freethrows made out of 10 attempts 6/10 = 3/ to : 5 24 questions correct on a 100-question test 24/100 = 6/ to : 25 5 cookies eaten out of 20 cookies 5/20 = ¼ to : 4

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**Unit Rate – a rate for “one” of something; a ratio with a denominator of 1.**

If three bananas cost $1.89, how much does one banana cost? $1.89/3 = .63/1 banana

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Examples: You need to buy soda for a party. The store sells packs for $ Find the unit rate for one 12-pack? $7.80/3 = $2.60/1

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**You travel 300 miles in five hours. Find the unit rate per hour.**

300/5 = 60 miles/1 hour A girl can jump rope 200 times in 4 minutes. What is the unit rate per minute? 200 / 4 = 50 times/1 minute

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**Determine which is the better buy:**

You need to buy pizzas for a class party. You can buy 4 large pizzas for $10.00, or you can 7 large pizzas for $ Which is the better buy? $10.00 / 4 = $2.50/1 $19.25 / 7 = $2.75/1 It is cheaper to buy 4 pizzas.

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Ratio, Rate, Proportion, and Percent. Ratio Comparison of two numbers by division Can be written three different ways 4 to 9 4 : 9 4 9.

Ratio, Rate, Proportion, and Percent. Ratio Comparison of two numbers by division Can be written three different ways 4 to 9 4 : 9 4 9.

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