Oliver, Charlie and Carl shared a sum of money. Oliver and Charlie received 90% of the total amount of money. Charlie and Carl received 50% of the total amount of money. Given that Oliver received $52 more than Carl, how much was the sum of money that was shared by Oliver and Carl?
| Oliver |
Charlie |
Carl |
Total |
| 9x1 |
1x1 |
10x1 |
| 1x5 |
1x5 |
2x5 |
| 5 u |
4 u |
1 u |
10 u |
90% =
90100 =
910 50% =
50100 =
12 The total amount of money that Oliver, Charlie and Carl shared is repeated. Make the total amount of money the same. LCM of 10 and 2 is 10.
Amount that Oliver received more than Carl
= 5 u - 1 u
= 4 u
4 u = 52
1 u = 52 ÷ 4 = 13
Amount that Oliver and Carl shared
= 5 u + 1 u
= 6 u
= 6 x 13
= $78
Answer(s): $78
