Luis's and Yen's monthly allowances were the same at first. Luis's allowance increased by 50% while Yen's decreased by 25%. Given that Luis's allowance would decrease by another 40% if he had received $1332 less from his parents, find the difference in the children's monthly allowances.
| |
Luis |
Yen |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.5 u |
- 0.25 u |
| After 1 |
1.5 u |
0.75 u |
| Change 2 |
- 0.6 u |
No change |
| After 2 |
0.9 u |
0.75 u |
Increase in Luis's allowance
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
Decrease in Yen's allowance
= 25% x 1 u
=
25100 x 1 u
= 0.25 u
Decrease in Luis's allowance if he had received $1332 less from his parents
= 40% x 1.5 u
=
40100 x 1.5 u
= 0.6 u
0.6 u = 1332
1 u = 1332 ÷ 0.6 = 2220
Difference in the allowance between Luis and Yen
= 1.5 u - 0.75 u
= 0.75 u
= 0.75 x 2220
= $1665
Answer(s): $1665
