The ratio of Asher's money to Fred's money is 9 : 13. If Fred has $494, how much must he give to Asher so both will have the equal amount of money?
| |
Asher |
Fred |
Total |
| Before |
9 u |
13 u |
22 u |
| Change |
+ 2 u |
- 2 u |
|
| After |
11 u |
11 u |
22 u |
Comparing Asher and
Fred in the end |
1 |
1 |
|
Amount that Fred has at first = 13 u
13 u = 494
1 u = 494 ÷ 13 = 38
Total amount that Fred and Asher have
= 9 u + 13 u
= 22 u
Amount that each of them will have in the end
= 22 u ÷ 2
= 11 u
Amount that Fred must give to Asher
= 11 u - 9 u
= 2 u
= 2 x 38
= $76
Answer(s): $76
