Warren's and Cindy's monthly allowances were the same at first. Warren's allowance increased by 50% while Cindy's decreased by 20%. Given that Warren's allowance would increase by another 10% if he had received $231 more from his Fathers, find the difference in the children's monthly allowances.
| |
Warren |
Cindy |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.5 u |
- 0.2 u |
| After 1 |
1.5 u |
0.8 u |
| Change 2 |
+ 0.15 u |
No change |
| After 2 |
1.65 u |
0.8 u |
Increase in Warren's allowance
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
Decrease in Cindy's allowance
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
Increase in Warren's allowance if his Fathers gave another $231
= 10% x 1.5 u
=
10100 x 1.5 u
= 0.15 u
0.15 u = 231
1 u = 231 ÷ 0.15 = 1540
Difference in the allowance between Warren and Cindy
= 1.5 u - 0.8 u
= 0.7 u
= 0.7 x 1540
= $1078
Answer(s): $1078
