George's and Esther's monthly allowances were the same at first. George's allowance increased by 50% while Esther's increased by 40%. Given that George's allowance would increase by another 30% if he had received $477 more from his father, find the difference in the children's monthly allowances.
| |
George |
Esther |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.5 u |
+ 0.4 u |
| After 1 |
1.5 u |
1.4 u |
| Change 2 |
+ 0.45 u |
No change |
| After 2 |
1.95 u |
1.4 u |
Increase in George's allowance
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
Increase in Esther's allowance
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
Increase in George's allowance if his father gave another $477
= 30% x 1.5 u
=
30100 x 1.5 u
= 0.45 u
0.45 u = 477
1 u = 477 ÷ 0.45 = 1060
Difference in the allowance between George and Esther
= 1.5 u - 1.4 u
= 0.1 u
= 0.1 x 1060
= $106
Answer(s): $106
