Solving Problems Involving Equivalent Ratios

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Presentation transcript:

Solving Problems Involving Equivalent Ratios Lesson 3 (3rd 6 Weeks) TEKS 6.2C

Ratio Comparison of two quantities 7 to 10 = 7:10 = 7/10 = 0.7

Proportion Two equivalent ratios or rates 2 6 = 5 15 These ratios are equivalent. (proportional)

Use this method to solve problems involving ratios and rates EX: The volley ball team has a 3:2 ratio of girls to boys. If there are 12 boys on the team, how many girls are on the team? 1.Write the original ratio as a fraction in a ratio table. 3 2

EX: The volley ball team has a 3:2 ratio of girls to boys EX: The volley ball team has a 3:2 ratio of girls to boys. If there are 12 boys on the team, how many girls are on the team? 2. Label the terms. 3. Write an equivalent ratio with 12 boys and unknown number of girls. Use a variable for the unknown number of girls. 4. Solve for the variable. x 6 girls 3 g 18 boys 2 12 x 6

Example 2: Sue made 7 out of every 10 free throws during the last 6 games of the basketball season. If she made 21 free throws, how many did she attempt? x 3 made 7 21 attempted 10 a 30 x 3