The ratio of David's money to Henry's money is 9 : 13. If Henry has $507, how much must he give to David so both will have the equal amount of money?
|
David |
Henry |
Total |
Before |
9 u |
13 u |
22 u |
Change |
+ 2 u |
- 2 u |
|
After |
11 u |
11 u |
22 u |
Comparing David and Henry in the end |
1 |
1 |
|
Amount that Henry has at first = 13 u
13 u = 507
1 u = 507 ÷ 13 = 39
Total amount that Henry and David have
= 9 u + 13 u
= 22 u
Amount that each of them will have in the end
= 22 u ÷ 2
= 11 u
Amount that Henry must give to David
= 11 u - 9 u
= 2 u
= 2 x 39
= $78
Answer(s): $78