Asher's and Wendy's monthly allowances were the same at first. Asher's allowance increased by 25% while Wendy's increased by 15%. Given that Asher's allowance would increase by another 20% if he had received $545 more from his father, find the difference in the children's monthly allowances.
| |
Asher |
Wendy |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.25 u |
+ 0.15 u |
| After 1 |
1.25 u |
1.15 u |
| Change 2 |
+ 0.25 u |
No change |
| After 2 |
1.5 u |
1.15 u |
Increase in Asher's allowance
= 25% x 1 u
=
25100 x 1 u
= 0.25 u
Increase in Wendy's allowance
= 15% x 1 u
=
15100 x 1 u
= 0.15 u
Increase in Asher's allowance if his father gave another $545
= 20% x 1.25 u
=
20100 x 1.25 u
= 0.25 u
0.25 u = 545
1 u = 545 ÷ 0.25 = 2180
Difference in the allowance between Asher and Wendy
= 1.25 u - 1.15 u
= 0.1 u
= 0.1 x 2180
= $218
Answer(s): $218
