The ratio of Glen's money to Jack's money is 5 : 13. If Jack has $416, how much must he give to Glen so both will have the equal amount of money?
| |
Glen |
Jack |
Total |
| Before |
5 u |
13 u |
18 u |
| Change |
+ 4 u |
- 4 u |
|
| After |
9 u |
9 u |
18 u |
Comparing Glen and
Jack in the end |
1 |
1 |
|
Amount that Jack has at first = 13 u
13 u = 416
1 u = 416 ÷ 13 = 32
Total amount that Jack and Glen have
= 5 u + 13 u
= 18 u
Amount that each of them will have in the end
= 18 u ÷ 2
= 9 u
Amount that Jack must give to Glen
= 9 u - 5 u
= 4 u
= 4 x 32
= $128
Answer(s): $128
