Cole, Owen, Perry and Glen shared $726. Glen received
56 of the total amount of money received by Cole, Owen and Perry. Cole received
45 of the total amount for Owen and Perry. Owen received
13 as much money as Perry. If Owen gave all his money to Glen, how much did Glen have more than Cole in the end?
Cole |
Owen |
Perry |
Glen |
Total |
6x6 |
5x6 |
11x6 |
4x4 |
5x4 |
|
|
|
1x5 |
3x5 |
|
|
16 u |
5 u |
15 u |
30 u |
66 u |
The total amount that Owen and Perry have is repeated. Make the total amount of Owen and Perry the same. LCM of 4 and 5 is 20.
The total amount that Cole, Owen and Perry have is repeated. Make the total amount of Cole, Owen and Perry the same. LCM of 36 and 6 is 36.
Total amount that Cole, Owen, Perry and Glen shared = 66 u
66 u = 726
1 u = 726 ÷ 66 = 11
|
Cole |
Owen |
Perry |
Glen |
Before |
16 u |
5 u |
15 u |
30 u |
Change |
|
- 5 u |
|
+ 5 u |
After |
16 u |
0 u |
15 u |
35 u |
Amount that Glen had if Owen gave him all his money
= 30 u + 5 u
= 35 u
Amount that Glen had more than Cole
= 35 u - 16 u
= 19 u
= 19 x 11
= $209
Answer(s): $209