The ratio of Ken's money to Jack's money is 7 : 13. If Jack has $429, how much must he give to Ken so both will have the equal amount of money?
| |
Ken |
Jack |
Total |
| Before |
7 u |
13 u |
20 u |
| Change |
+ 3 u |
- 3 u |
|
| After |
10 u |
10 u |
20 u |
Comparing Ken and
Jack in the end |
1 |
1 |
|
Amount that Jack has at first = 13 u
13 u = 429
1 u = 429 ÷ 13 = 33
Total amount that Jack and Ken have
= 7 u + 13 u
= 20 u
Amount that each of them will have in the end
= 20 u ÷ 2
= 10 u
Amount that Jack must give to Ken
= 10 u - 7 u
= 3 u
= 3 x 33
= $99
Answer(s): $99
