Valen's and Abi's monthly allowances were the same at first. Valen's allowance increased by 50% while Abi's decreased by 15%. Given that Valen's allowance would increase by another 10% if he had received $357 more from his Parents, find the difference in the children's monthly allowances.
| |
Valen |
Abi |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.5 u |
- 0.15 u |
| After 1 |
1.5 u |
0.85 u |
| Change 2 |
+ 0.15 u |
No change |
| After 2 |
1.65 u |
0.85 u |
Increase in Valen's allowance
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
Decrease in Abi's allowance
= 15% x 1 u
=
15100 x 1 u
= 0.15 u
Increase in Valen's allowance if his Parents gave another $357
= 10% x 1.5 u
=
10100 x 1.5 u
= 0.15 u
0.15 u = 357
1 u = 357 ÷ 0.15 = 2380
Difference in the allowance between Valen and Abi
= 1.5 u - 0.85 u
= 0.65 u
= 0.65 x 2380
= $1547
Answer(s): $1547
