Asher's and Erika's monthly allowances were the same at first. Asher's allowance increased by 50% while Erika's increased by 10%. Given that Asher's allowance would increase by another 40% if he had received $1602 more from his mother, find the difference in the children's monthly allowances.
| |
Asher |
Erika |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.5 u |
+ 0.1 u |
| After 1 |
1.5 u |
1.1 u |
| Change 2 |
+ 0.6 u |
No change |
| After 2 |
2.1 u |
1.1 u |
Increase in Asher's allowance
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
Increase in Erika's allowance
= 10% x 1 u
=
10100 x 1 u
= 0.1 u
Increase in Asher's allowance if his mother gave another $1602
= 40% x 1.5 u
=
40100 x 1.5 u
= 0.6 u
0.6 u = 1602
1 u = 1602 ÷ 0.6 = 2670
Difference in the allowance between Asher and Erika
= 1.5 u - 1.1 u
= 0.4 u
= 0.4 x 2670
= $1068
Answer(s): $1068
