Question

In Harold’s class, there are 7 boys for every 6 girls. Identify three equivalent ratios to compare boys to girls.

100 points

Answer 1

14:12

21:18

35:30

Explanation:

An equivalent ratio is a ratio that represents the same comparison as another ratio, but with different values. To find equivalent ratios to compare boys to girls in Harold's class, we can multiply or divide both the numerator and denominator of the original ratio by the same value.

The original ratio of boys to girls is 7 boys to 6 girls, or 7:6. Here are three equivalent ratios:

14:12 (multiplying both the numerator and denominator by 2)

21:18 (multiplying both the numerator and denominator by 3)

35:30 (multiplying both the numerator and denominator by 5)

Answer 2

One equivalent ratio that compares the number of boys to the number of girls in Harold's class is 7:6. Another equivalent ratio is 14:12, and yet another equivalent ratio is 21:18. These ratios are equivalent because they represent the same relationship between the number of boys and girls, just with different scale.