Albert, Elijah, Charlie and Glen shared $252. Glen received
45 of the total amount of money received by Albert, Elijah and Charlie. Albert received
13 of the total amount for Elijah and Charlie. Elijah received
23 as much money as Charlie. If Charlie gave all his money to Glen, how much did Glen have more than Elijah in the end?
Albert |
Elijah |
Charlie |
Glen |
Total |
5x4 |
4x4 |
9x4 |
1x5 |
3x5 |
|
|
|
2x3 |
3x3 |
|
|
5 u |
6 u |
9 u |
16 u |
36 u |
The total amount that Elijah and Charlie have is repeated. Make the total amount of Elijah and Charlie the same. LCM of 5 and 3 is 15.
The total amount that Albert, Elijah and Charlie have is repeated. Make the total amount of Albert, Elijah and Charlie the same. LCM of 20 and 5 is 20.
Total amount that Albert, Elijah, Charlie and Glen shared = 36 u
36 u = 252
1 u = 252 ÷ 36 = 7
|
Albert |
Elijah |
Charlie |
Glen |
Before |
5 u |
6 u |
9 u |
16 u |
Change |
|
|
- 9 u |
+ 9 u |
After |
5 u |
6 u |
0 u |
25 u |
Amount that Glen had if Charlie gave him all his money
= 16 u + 9 u
= 25 u
Amount that Glen had more than Elijah
= 25 u - 6 u
= 19 u
= 19 x 7
= $133
Answer(s): $133