The ratio of Archie's money to Ben's money is 5 : 13. If Ben has $520, how much must he give to Archie so both will have the equal amount of money?
| |
Archie |
Ben |
Total |
| Before |
5 u |
13 u |
18 u |
| Change |
+ 4 u |
- 4 u |
|
| After |
9 u |
9 u |
18 u |
Comparing Archie and
Ben in the end |
1 |
1 |
|
Amount that Ben has at first = 13 u
13 u = 520
1 u = 520 ÷ 13 = 40
Total amount that Ben and Archie have
= 5 u + 13 u
= 18 u
Amount that each of them will have in the end
= 18 u ÷ 2
= 9 u
Amount that Ben must give to Archie
= 9 u - 5 u
= 4 u
= 4 x 40
= $160
Answer(s): $160
