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Ratios and Proportions

Ratios and Proportions. Ratios. Ratio – a comparison of two quantities or numbers Examples : The ratio of boys to girls The ratio of students to teachers The ratio of red marbles to blue marbles Ratios are written 3 ways: a , a:b , a to b

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Ratios and Proportions

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  1. Ratios and Proportions

  2. Ratios • Ratio – a comparison of two quantities or numbers Examples: • The ratio of boys to girls • The ratio of students to teachers • The ratio of red marbles to blue marbles Ratios are written 3 ways: a , a:b , a to b b

  3. Find Percentage if Given the Ratio • If the ratio of boys to girls is 2:3, what percentage of the students are boys? • Jim’s CD collection consists of just rock and country. If the ratio of rock to country is 3:5, what percentage of the CDs are rock? • If the ratio of blue shirts to red shirts is 5:2, what percentage of the shirts are blue?

  4. Proportions Proportions – two ratios that are equal to each other Two ratios are equal if their cross- products are equal Examples: 2 = 124 = 810 = 28 3 18 9 17 15 42

  5. Solve each Proportion 4 = 93 = 72 = x 25 x x 18 5 12

  6. Write and solve a proportion for each problem. • Suzy counted 24 marshmallows in 3 servings of Marshy Morsels. The box contains 12 servings. How many marshmallows are in the box? • A train travels 165 miles in 3 hours. At that rate, how many miles will the train travel in 5 hours? • Kim can text 150 words in 2 minutes. How many words can she text in 5 minutes?

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