The ratio of Peter's money to Tom's money is 3 : 13. If Tom has $442, how much must he give to Peter so both will have the equal amount of money?
| |
Peter |
Tom |
Total |
| Before |
3 u |
13 u |
16 u |
| Change |
+ 5 u |
- 5 u |
|
| After |
8 u |
8 u |
16 u |
Comparing Peter and
Tom in the end |
1 |
1 |
|
Amount that Tom has at first = 13 u
13 u = 442
1 u = 442 ÷ 13 = 34
Total amount that Tom and Peter have
= 3 u + 13 u
= 16 u
Amount that each of them will have in the end
= 16 u ÷ 2
= 8 u
Amount that Tom must give to Peter
= 8 u - 3 u
= 5 u
= 5 x 34
= $170
Answer(s): $170
