The ratio of Jack's money to Japheth's money is 7 : 15. If Japheth has $675, how much must he give to Jack so both will have the equal amount of money?
| |
Jack |
Japheth |
Total |
| Before |
7 u |
15 u |
22 u |
| Change |
+ 4 u |
- 4 u |
|
| After |
11 u |
11 u |
22 u |
Comparing Jack and
Japheth in the end |
1 |
1 |
|
Amount that Japheth has at first = 15 u
15 u = 675
1 u = 675 ÷ 15 = 45
Total amount that Japheth and Jack have
= 7 u + 15 u
= 22 u
Amount that each of them will have in the end
= 22 u ÷ 2
= 11 u
Amount that Japheth must give to Jack
= 11 u - 7 u
= 4 u
= 4 x 45
= $180
Answer(s): $180
