Seth's and Emily's monthly allowances were the same at first. Seth's allowance increased by 20% while Emily's decreased by 25%. Given that Seth's allowance would increase by another 25% if he had received $762 more from his Mothers, find the difference in the children's monthly allowances.
| |
Seth |
Emily |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.2 u |
- 0.25 u |
| After 1 |
1.2 u |
0.75 u |
| Change 2 |
+ 0.3 u |
No change |
| After 2 |
1.5 u |
0.75 u |
Increase in Seth's allowance
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
Decrease in Emily's allowance
= 25% x 1 u
=
25100 x 1 u
= 0.25 u
Increase in Seth's allowance if his Mothers gave another $762
= 25% x 1.2 u
=
25100 x 1.2 u
= 0.3 u
0.3 u = 762
1 u = 762 ÷ 0.3 = 2540
Difference in the allowance between Seth and Emily
= 1.2 u - 0.75 u
= 0.45 u
= 0.45 x 2540
= $1143
Answer(s): $1143
