The ratio of Michael's money to David's money is 7 : 15. If David has $435, how much must he give to Michael so both will have the equal amount of money?
|
Michael |
David |
Total |
Before |
7 u |
15 u |
22 u |
Change |
+ 4 u |
- 4 u |
|
After |
11 u |
11 u |
22 u |
Comparing Michael and David in the end |
1 |
1 |
|
Amount that David has at first = 15 u
15 u = 435
1 u = 435 ÷ 15 = 29
Total amount that David and Michael have
= 7 u + 15 u
= 22 u
Amount that each of them will have in the end
= 22 u ÷ 2
= 11 u
Amount that David must give to Michael
= 11 u - 7 u
= 4 u
= 4 x 29
= $116
Answer(s): $116