The ratio of Ben's money to Michael's money is 3 : 11. If Michael has $165, how much must he give to Ben so both will have the equal amount of money?
|
Ben |
Michael |
Total |
Before |
3 u |
11 u |
14 u |
Change |
+ 4 u |
- 4 u |
|
After |
7 u |
7 u |
14 u |
Comparing Ben and Michael in the end |
1 |
1 |
|
Amount that Michael has at first = 11 u
11 u = 165
1 u = 165 ÷ 11 = 15
Total amount that Michael and Ben have
= 3 u + 11 u
= 14 u
Amount that each of them will have in the end
= 14 u ÷ 2
= 7 u
Amount that Michael must give to Ben
= 7 u - 3 u
= 4 u
= 4 x 15
= $60
Answer(s): $60