The ratio of Vincent's money to Ken's money is 3 : 7. If Ken has $294, how much must he give to Vincent so both will have the equal amount of money?
|
Vincent |
Ken |
Total |
Before |
3 u |
7 u |
10 u |
Change |
+ 2 u |
- 2 u |
|
After |
5 u |
5 u |
10 u |
Comparing Vincent and Ken in the end |
1 |
1 |
|
Amount that Ken has at first = 7 u
7 u = 294
1 u = 294 ÷ 7 = 42
Total amount that Ken and Vincent have
= 3 u + 7 u
= 10 u
Amount that each of them will have in the end
= 10 u ÷ 2
= 5 u
Amount that Ken must give to Vincent
= 5 u - 3 u
= 2 u
= 2 x 42
= $84
Answer(s): $84