Question

The ratio of girls to boys who participated in the quiz bowl was 7:5. There were 42 girls in the competition. How many boys participated?

Answer 1

If the ratio is 7:5 and there are 42 girls, then you are multiplying by 6. 5 x 6 = 30. 30 boys participated.

Answer 2

Answer:

There are 30 boys in the competition.

Step-by-step explanation:

Given : The ratio of girls to boys who participated in the quiz bowl was 7:5. There were 42 girls in the competition.

To find : How many boys participated?

Solution : Let x be the number of boys in the competition.

There are 42 girls in the competition.

The ratio form by girls to boys is 42 : x

The ratio of girls to boys who participated in the quiz bowl was 7 : 5.

Solving the two ratios,

$\frac{7}{5}=\frac{42}{x}$

$\Rightarrow 7\times x= 42\times 5$

$\Rightarrow 7x=210$

$\Rightarrow x=\frac{210}{7}$

$\Rightarrow x=30$

Therefore, There are 30 boys in the competition.