Sean's and Rachel's monthly allowances were the same at first. Sean's allowance increased by 20% while Rachel's increased by 10%. Given that Sean's allowance would increase by another 25% if he had received $348 more from his father, find the difference in the children's monthly allowances.
| |
Sean |
Rachel |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.2 u |
+ 0.1 u |
| After 1 |
1.2 u |
1.1 u |
| Change 2 |
+ 0.3 u |
No change |
| After 2 |
1.5 u |
1.1 u |
Increase in Sean's allowance
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
Increase in Rachel's allowance
= 10% x 1 u
=
10100 x 1 u
= 0.1 u
Increase in Sean's allowance if his father gave another $348
= 25% x 1.2 u
=
25100 x 1.2 u
= 0.3 u
0.3 u = 348
1 u = 348 ÷ 0.3 = 1160
Difference in the allowance between Sean and Rachel
= 1.2 u - 1.1 u
= 0.1 u
= 0.1 x 1160
= $116
Answer(s): $116
