Question

the ratio of men to women in a class is 3 to 2 . Find the number of women in the class, given that there are 35 students in the class. Use a proportion to set up your work.

Answer 1

The number of women in the class, given a men-to-women ratio of 3 to 2 and a total of 35 students, is 14.

Step-by-step explanation:

Let x represent the number of women in the class. The ratio of men to women is given as 3 to 2, so the number of men is (3/2)x. The total number of students is 35.

Setting up a proportion:

(Number of Women) / (Number of Men) = x / (3/2)x

Since the total number of students is 35:

x + (3/2)x = 35

Combine like terms:

(5/2)x = 35

Solve for x:

x = 14

So, there are 14 women in the class.