SOLUTION: A husband and a wife shared a bowl of beans in the ratio of 4:6. If the husband who got the better share ate 84 beans, how many did the wife get?

Algebra ->  Proportions -> SOLUTION: A husband and a wife shared a bowl of beans in the ratio of 4:6. If the husband who got the better share ate 84 beans, how many did the wife get?      Log On


   

Question 1100365: A husband and a wife shared a bowl of beans in the ratio of 4:6. If the husband who got the better share ate 84 beans, how many did the wife get?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
b, number of beans in the bowl
4:6 is the same as 2:3.

3%2F2=84%2F%28b-84%29
.
b-84=%282%2A84%29%2F3=%282%2A7%2A12%29%2F3=highlight%2856%29-------wife ate 56 beans.
.
b=140