The ratio of Ryan's money to Peter's money is 5 : 13. If Peter has $130, how much must he give to Ryan so both will have the equal amount of money?
|
Ryan |
Peter |
Total |
Before |
5 u |
13 u |
18 u |
Change |
+ 4 u |
- 4 u |
|
After |
9 u |
9 u |
18 u |
Comparing Ryan and Peter in the end |
1 |
1 |
|
Amount that Peter has at first = 13 u
13 u = 130
1 u = 130 ÷ 13 = 10
Total amount that Peter and Ryan have
= 5 u + 13 u
= 18 u
Amount that each of them will have in the end
= 18 u ÷ 2
= 9 u
Amount that Peter must give to Ryan
= 9 u - 5 u
= 4 u
= 4 x 10
= $40
Answer(s): $40