Oliver, Jeremy and Luke shared a sum of money. Oliver and Jeremy received 90% of the total amount of money. Jeremy and Luke received 40% of the total amount of money. Given that Jeremy received $54 less than Oliver, how much was the sum of money that was shared by Jeremy and Luke?
| Oliver |
Jeremy |
Luke |
Total |
| 9x1 |
1x1 |
10x1 |
| 3x2 |
2x2 |
5x2 |
| 6 u |
3 u |
1 u |
10 u |
90% =
90100 =
910 40% =
40100 =
25 The total amount of money that Oliver, Jeremy and Luke shared is repeated. Make the total amount of money the same. LCM of 10 and 5 is 10.
Amount that Jeremy received less than Oliver
= 6 u - 3 u
= 3 u
3 u = 54
1 u = 54 ÷ 3 = 18
Amount that Jeremy and Luke shared
= 3 u + 1 u
= 4 u
= 4 x 18
= $72
Answer(s): $72
