Sean's and Barbara's monthly allowances were the same at first. Sean's allowance increased by 35% while Barbara's increased by 25%. Given that Sean's allowance would increase by another 40% if he had received $999 more from his mother, find the difference in the children's monthly allowances.
| |
Sean |
Barbara |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.35 u |
+ 0.25 u |
| After 1 |
1.35 u |
1.25 u |
| Change 2 |
+ 0.54 u |
No change |
| After 2 |
1.89 u |
1.25 u |
Increase in Sean's allowance
= 35% x 1 u
=
35100 x 1 u
= 0.35 u
Increase in Barbara's allowance
= 25% x 1 u
=
25100 x 1 u
= 0.25 u
Increase in Sean's allowance if his mother gave another $999
= 40% x 1.35 u
=
40100 x 1.35 u
= 0.54 u
0.54 u = 999
1 u = 999 ÷ 0.54 = 1850
Difference in the allowance between Sean and Barbara
= 1.35 u - 1.25 u
= 0.1 u
= 0.1 x 1850
= $185
Answer(s): $185
