Luke's and Xylia's monthly allowances were the same at first. Luke's allowance increased by 50% while Xylia's decreased by 40%. Given that Luke's allowance would decrease by another 10% if he had received $249 less from his parents, find the difference in the children's monthly allowances.
| |
Luke |
Xylia |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.5 u |
- 0.4 u |
| After 1 |
1.5 u |
0.6 u |
| Change 2 |
- 0.15 u |
No change |
| After 2 |
1.35 u |
0.6 u |
Increase in Luke's allowance
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
Decrease in Xylia's allowance
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
Decrease in Luke's allowance if he had received $249 less from his parents
= 10% x 1.5 u
=
10100 x 1.5 u
= 0.15 u
0.15 u = 249
1 u = 249 ÷ 0.15 = 1660
Difference in the allowance between Luke and Xylia
= 1.5 u - 0.6 u
= 0.9 u
= 0.9 x 1660
= $1494
Answer(s): $1494
