Simon's and Xylia's monthly allowances were the same at first. Simon's allowance increased by 50% while Xylia's increased by 25%. Given that Simon's allowance would increase by another 10% if he had received $189 more from his father, find the difference in the children's monthly allowances.
| |
Simon |
Xylia |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.5 u |
+ 0.25 u |
| After 1 |
1.5 u |
1.25 u |
| Change 2 |
+ 0.15 u |
No change |
| After 2 |
1.65 u |
1.25 u |
Increase in Simon's allowance
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
Increase in Xylia's allowance
= 25% x 1 u
=
25100 x 1 u
= 0.25 u
Increase in Simon's allowance if his father gave another $189
= 10% x 1.5 u
=
10100 x 1.5 u
= 0.15 u
0.15 u = 189
1 u = 189 ÷ 0.15 = 1260
Difference in the allowance between Simon and Xylia
= 1.5 u - 1.25 u
= 0.25 u
= 0.25 x 1260
= $315
Answer(s): $315
