SOLUTION: Please explain in detail the previous question as the previous tutor replied only with the answer. Thanks much In a group of 40 people the ration of men to women is 3:1. How man

Algebra ->  Finance -> SOLUTION: Please explain in detail the previous question as the previous tutor replied only with the answer. Thanks much In a group of 40 people the ration of men to women is 3:1. How man      Log On


   

Question 974290: Please explain in detail the previous question as the previous tutor replied only with the answer. Thanks much
In a group of 40 people the ration of men to women is 3:1. How many women must join the group so that the ratio of men to women becomes 5:4?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Ratio 3 to 1 is total parts 4. Cut 40 into four parts, and each part is 10.

At start, the fraction as men is 3%2F4.

The desired amount or fraction as men is 5%2F%285%2B4%29=5%2F9.

This becomes a two-part mixture problem. Adding women will not change the quantity of men; it will only make their concentration smaller.

Let w be how many women to add.
%2840%2A%283%2F4%29%29%2F%2840%2Bw%29=5%2F9