The ratio of Xavier's money to Gabriel's money is 3 : 7. If Gabriel has $147, how much must he give to Xavier so both will have the equal amount of money?
| |
Xavier |
Gabriel |
Total |
| Before |
3 u |
7 u |
10 u |
| Change |
+ 2 u |
- 2 u |
|
| After |
5 u |
5 u |
10 u |
Comparing Xavier and
Gabriel in the end |
1 |
1 |
|
Amount that Gabriel has at first = 7 u
7 u = 147
1 u = 147 ÷ 7 = 21
Total amount that Gabriel and Xavier have
= 3 u + 7 u
= 10 u
Amount that each of them will have in the end
= 10 u ÷ 2
= 5 u
Amount that Gabriel must give to Xavier
= 5 u - 3 u
= 2 u
= 2 x 21
= $42
Answer(s): $42
