The ratio of Valen's money to Fred's money is 7 : 13. If Fred has $559, how much must he give to Valen so both will have the equal amount of money?
| |
Valen |
Fred |
Total |
| Before |
7 u |
13 u |
20 u |
| Change |
+ 3 u |
- 3 u |
|
| After |
10 u |
10 u |
20 u |
Comparing Valen and
Fred in the end |
1 |
1 |
|
Amount that Fred has at first = 13 u
13 u = 559
1 u = 559 ÷ 13 = 43
Total amount that Fred and Valen have
= 7 u + 13 u
= 20 u
Amount that each of them will have in the end
= 20 u ÷ 2
= 10 u
Amount that Fred must give to Valen
= 10 u - 7 u
= 3 u
= 3 x 43
= $129
Answer(s): $129
