1. In basketball practice. Kathlene made 17 baskets in 25 attempts. She compared the number of baskets she made to the total number of attempts she made by using the ratio . A ratio is a comparison of two quantities by division. 17 25 Kathlene can write her ratio of baskets made to attempts in three different ways . 17 25 17 to 25 17:25 Course 2 5-1 Ratios

2. Twenty students are asked to choose their favorite music category. Eight chose pop, seven chose hip hop, and five chose rock. Write each ratio in all three forms. Additional Example 1: Writing Ratios A. rock to hip hop 5 7 , 5 to 7, 5:7 The ratio of rock to hip hop is 5 to 7, which can be written as follows: B. hip hop to pop The ratio of hip hop to pop is 7 to 8, which can be written as follows: 7 8 , 7 to 8, 7:8 Course 2 5-1 Ratios

3. Sometimes a ratio can be simplified . To simplify a ratio, first write it in fraction form and then simplify the fraction. Course 2 5-1 Ratios

4. To compare ratios, write them as fractions with common denominators. Then compare the numerators. Course 2 5-1 Ratios

5. Honey-lemon cough drops come in packages of 30 drops per 10-ounce bag. Cherry cough drops come in packages of 24 drops per 6-ounce bag. Compare the ratio of drops per ounces for each bag of cough drops. Additional Example 3: Comparing Ratios Honey-lemon: drops ounces = 30 10 = 3 1 Cherry: drops ounces = 24 6 = 4 1 Because 4 > 3 and the denominators are the same, the drops to ounces is greater in the bag of cherry cough drops. Write the ratios as fractions with common denominators. Course 2 5-1 Ratios 6 10 Ounces 24 30 Drops Cherry Honey-lemon

6. Lesson Quiz: Part I A coin bank contains 16 quarters, 12 dimes, and 8 nickels. Write the given ratio in all three forms. Insert Lesson Title Here 1. nickels to quarters 2. dimes to nickels 3. nickels and dimes to quarters Course 2 5-1 Ratios 8 16 , 8 to 16, 8:16 or 1 2 , 1 to 2, 1:2 12 8 , 12 to 8, 12:8 or 3 2 , 3 to 2, 3:2 20 16 , 20 to 16, 20:16 or 5 4 , 5 to 4, 5:4

7. Lesson Quiz: Part II Insert Lesson Title Here 4. There are 220 calories in 5 crackers. Write the ratio of calories to crackers in all three forms. Write your answers in simplest form. 5. On a school trip, Bus 1 has 3 teachers and 14 students. Bus 2 has 4 teachers and 28 students. Which bus has the greater ratio of teachers to students? Bus 1 Course 2 5-1 Ratio 44 calories 1 cracker , 44 to 1, 44:1