Question

The ratio of boys to girls in a math class is 18 to 11. Is that proportional to the science class with a ratio of 16 girls to 14 boys?

Question 10 options:

154 ≠ 288

224 ≠ 198

176 ≠ 252

Answer 1

The ratio of boys to girls in a math class is not proportional to the ratio of boys to girls in a science class

154=288

Explanation:

Let

x ----> the number of boys

y ----> the number of girls

we know that

The ratio of boys to girls is x/y

we have

Math class

`(x)/(y)=(18)/(11)`

Science class

`(x)/(y)=(14)/(16)`

equate both ratios

`(14)/(16)=(18)/(11)`

Multiply in cross

`14(11)=18(16)`

`154=288` ----> is not true

therefore

The ratio of boys to girls in a math class is not proportional to the ratio of boys to girls in a science class