Wesley, Jeremy, Gabriel and Charlie shared $351. Charlie received
112 of the total amount of money received by Wesley, Jeremy and Gabriel. Wesley received
45 of the total amount for Jeremy and Gabriel. Jeremy received
13 as much money as Gabriel. If Gabriel gave all his money to Charlie, how much did Charlie have more than Jeremy in the end?
Wesley |
Jeremy |
Gabriel |
Charlie |
Total |
12x3 |
1x3 |
13x3 |
4x4 |
5x4 |
|
|
|
1x5 |
3x5 |
|
|
16 u |
5 u |
15 u |
3 u |
39 u |
The total amount that Jeremy and Gabriel have is repeated. Make the total amount of Jeremy and Gabriel the same. LCM of 4 and 5 is 20.
The total amount that Wesley, Jeremy and Gabriel have is repeated. Make the total amount of Wesley, Jeremy and Gabriel the same. LCM of 36 and 12 is 36.
Total amount that Wesley, Jeremy, Gabriel and Charlie shared = 39 u
39 u = 351
1 u = 351 ÷ 39 = 9
|
Wesley |
Jeremy |
Gabriel |
Charlie |
Before |
16 u |
5 u |
15 u |
3 u |
Change |
|
|
- 15 u |
+ 15 u |
After |
16 u |
5 u |
0 u |
18 u |
Amount that Charlie had if Gabriel gave him all his money
= 3 u + 15 u
= 18 u
Amount that Charlie had more than Jeremy
= 18 u - 5 u
= 13 u
= 13 x 9
= $117
Answer(s): $117