Four boys, Luis, Liam, Luke and Vincent saved some money. Liam's savings was
47 of the total savings of Luis, Luke and Vincent. Luis's savings was 10% of the total savings. Luke's savings was
18 of the total savings of Liam and Vincent. If Liam's savings was $1520, how much less was Luke's savings than the total of the other three boys?
Liam |
Vincent |
Luke |
Luis |
Total |
4x10 |
7x10 |
11x10 |
9x11 |
1x11 |
10x11 |
8x11 |
1x11 |
|
|
40 u |
48 u |
11 u |
11 u |
110 u |
10% →
10100=
110 Luis's savings : Total savings = 1 : 10
Liam's savings = 40 u
40 u = 1520
1 u = 1520 ÷ 40 = 38
Luke's savings = 11 u
Savings of the other three boys
= 40 u + 48 u + 11 u
= 99 u
Savings that Luke had less than the total of the three other boys
= 99 u - 11 u
= 88 u
= 88 x 38
= $3344
Answer(s): $3344