Reggie's and Eva's monthly allowances were the same at first. Reggie's allowance increased by 40% while Eva's increased by 10%. Given that Reggie's allowance would increase by another 10% if he had received $224 more from his father, find the difference in the children's monthly allowances.
| |
Reggie |
Eva |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.4 u |
+ 0.1 u |
| After 1 |
1.4 u |
1.1 u |
| Change 2 |
+ 0.14 u |
No change |
| After 2 |
1.54 u |
1.1 u |
Increase in Reggie's allowance
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
Increase in Eva's allowance
= 10% x 1 u
=
10100 x 1 u
= 0.1 u
Increase in Reggie's allowance if his father gave another $224
= 10% x 1.4 u
=
10100 x 1.4 u
= 0.14 u
0.14 u = 224
1 u = 224 ÷ 0.14 = 1600
Difference in the allowance between Reggie and Eva
= 1.4 u - 1.1 u
= 0.3 u
= 0.3 x 1600
= $480
Answer(s): $480
