Henry's and Raeann's monthly allowances were the same at first. Henry's allowance increased by 50% while Raeann's decreased by 10%. Given that Henry's allowance would increase by another 40% if he had received $942 more from his Parents, find the difference in the children's monthly allowances.
| |
Henry |
Raeann |
| 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 Henry's allowance
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
Decrease in Raeann's allowance
= 10% x 1 u
=
10100 x 1 u
= 0.1 u
Increase in Henry's allowance if his Parents gave another $942
= 40% x 1.5 u
=
40100 x 1.5 u
= 0.6 u
0.6 u = 942
1 u = 942 ÷ 0.6 = 1570
Difference in the allowance between Henry and Raeann
= 1.5 u - 0.9 u
= 0.6 u
= 0.6 x 1570
= $942
Answer(s): $942
