Valen's and Eva's monthly allowances were the same at first. Valen's allowance increased by 50% while Eva's decreased by 10%. Given that Valen's allowance would increase by another 40% if he had received $636 more from his Parents, find the difference in the children's monthly allowances.
| |
Valen |
Eva |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.5 u |
- 0.1 u |
| After 1 |
1.5 u |
0.9 u |
| Change 2 |
+ 0.6 u |
No change |
| After 2 |
2.1 u |
0.9 u |
Increase in Valen's allowance
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
Decrease in Eva's allowance
= 10% x 1 u
=
10100 x 1 u
= 0.1 u
Increase in Valen's allowance if his Parents gave another $636
= 40% x 1.5 u
=
40100 x 1.5 u
= 0.6 u
0.6 u = 636
1 u = 636 ÷ 0.6 = 1060
Difference in the allowance between Valen and Eva
= 1.5 u - 0.9 u
= 0.6 u
= 0.6 x 1060
= $636
Answer(s): $636
