Lee's and Jean's monthly allowances were the same at first. Lee's allowance increased by 50% while Jean's decreased by 40%. Given that Lee's allowance would decrease by another 40% if he had received $756 less from his mothers, find the difference in the children's monthly allowances.
| |
Lee |
Jean |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.5 u |
- 0.4 u |
| After 1 |
1.5 u |
0.6 u |
| Change 2 |
- 0.6 u |
No change |
| After 2 |
0.9 u |
0.6 u |
Increase in Lee's allowance
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
Decrease in Jean's allowance
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
Decrease in Lee's allowance if he had received $756 less from his mothers
= 40% x 1.5 u
=
40100 x 1.5 u
= 0.6 u
0.6 u = 756
1 u = 756 ÷ 0.6 = 1260
Difference in the allowance between Lee and Jean
= 1.5 u - 0.6 u
= 0.9 u
= 0.9 x 1260
= $1134
Answer(s): $1134
