Question

In year 8, where there is an equal number of boys and girls, 2/3 of the boys and 3/4 of the girls choose swimming for sport. What is the ratio of boys to girls in the swimming class?

A) 8:9
B) 9:8
C) 3:4
D) 4:3

Answer 1

To determine the ratio of boys to girls in the swimming class, we assume an equal number of boys and girls, and calculate the portions who choose swimming. Simplifying the fractions, the ratio becomes 8:9, hence the answer is A) 8:9.

Step-by-step explanation:

The question asks to find the ratio of boys to girls in the swimming class in year 8, given that 2/3 of the boys and 3/4 of the girls choose swimming for sport. We are told that there is an equal number of boys and girls in year 8. Let's assume that there are B boys and G girls in the class, and B = G.

Now, the number of boys choosing swimming is 2/3 of B, or (2/3)*B. The number of girls choosing swimming is 3/4 of G, or (3/4)*G. To find the ratio, we set up the following equation:

Ratio of boys to girls in swimming = (2/3)*B : (3/4)*G

Since B = G, we can substitute G for B in the equation:

Ratio of boys to girls in swimming = (2/3)*G : (3/4)*G

We can simplify the ratio by dividing both parts by G:

Ratio of boys to girls in swimming = 2/3 : 3/4

To compare these fractions, we find a common denominator, which in this case is 12. Multiplying each side of the ratio by 12, we get:

Ratio of boys to girls in swimming = 8 : 9

Therefore, the correct answer is A) 8:9.