John, Ahmad, Luis and Carl shared $100. Carl received
23 of the total amount of money received by John, Ahmad and Luis. John received
14 of the total amount for Ahmad and Luis. Ahmad received
12 as much money as Luis. If Ahmad gave all his money to Carl, how much did Carl have more than John in the end?
John |
Ahmad |
Luis |
Carl |
Total |
3x5 |
2x5 |
5x5 |
1x3 |
4x3 |
|
|
|
1x4 |
2x4 |
|
|
3 u |
4 u |
8 u |
10 u |
25 u |
The total amount that Ahmad and Luis have is repeated. Make the total amount of Ahmad and Luis the same. LCM of 3 and 4 is 12.
The total amount that John, Ahmad and Luis have is repeated. Make the total amount of John, Ahmad and Luis the same. LCM of 15 and 3 is 15.
Total amount that John, Ahmad, Luis and Carl shared = 25 u
25 u = 100
1 u = 100 ÷ 25 = 4
|
John |
Ahmad |
Luis |
Carl |
Before |
3 u |
4 u |
8 u |
10 u |
Change |
|
- 4 u |
|
+ 4 u |
After |
3 u |
0 u |
8 u |
14 u |
Amount that Carl had if Ahmad gave him all his money
= 10 u + 4 u
= 14 u
Amount that Carl had more than John
= 14 u - 3 u
= 11 u
= 11 x 4
= $44
Answer(s): $44