Question

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The ratio of boys to girls in gym class is 6 to 5. There are 30 boys in gym class. How many girls are in gym class?
Question 1 options:


25


61


36


6

Answer 1

Answer:

25

Step-by-step explanation:

Boys : Girls

6 : 5

30 : X

X/30 = 5/6

X = 5/6 × 30

X = 25

Answer 2

Answer:

A. 25 girls

Step-by-step explanation:

Suppose the number of boys is b and the number of girls is g.

We know that the ratio of boys to girls is 6 to 5, so we can write this as:

b:g = 6:5   or    b/g = 6/5

We also know that there are 30 boys, so b = 30. We plug this value of 30 in for b in our ratio. Now, we just have a proportion with one variable g:

$\frac{b}{g} =\frac{6}{5}$  ⇒  $\frac{30}{g} =\frac{6}{5}$

Cross-multiplying, we get:

6 * g = 30 * 5 = 150

g = 150/6 = 25

Thus, there are 25 girls, so the answer is A.

Hope this helps!