Albert, Rael and Dylan shared a sum of money. Albert and Rael received 80% of the total amount of money. Rael and Dylan received 50% of the total amount of money. Given that Albert received $48 more than Dylan, how much was the sum of money that was shared by Albert and Dylan?
| Albert |
Rael |
Dylan |
Total |
| 4x2 |
1x2 |
5x2 |
| 1x5 |
1x5 |
2x5 |
| 5 u |
3 u |
2 u |
10 u |
80% =
80100 =
45 50% =
50100 =
12 The total amount of money that Albert, Rael and Dylan shared is repeated. Make the total amount of money the same. LCM of 5 and 2 is 10.
Amount that Albert received more than Dylan
= 5 u - 2 u
= 3 u
3 u = 48
1 u = 48 ÷ 3 = 16
Amount that Albert and Dylan shared
= 5 u + 2 u
= 7 u
= 7 x 16
= $112
Answer(s): $112
