Ian's and Anna's monthly allowances were the same at first. Ian's allowance increased by 50% while Anna's increased by 15%. Given that Ian's allowance would increase by another 10% if he had received $174 more from his father, find the difference in the children's monthly allowances.
| |
Ian |
Anna |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.5 u |
+ 0.15 u |
| After 1 |
1.5 u |
1.15 u |
| Change 2 |
+ 0.15 u |
No change |
| After 2 |
1.65 u |
1.15 u |
Increase in Ian's allowance
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
Increase in Anna's allowance
= 15% x 1 u
=
15100 x 1 u
= 0.15 u
Increase in Ian's allowance if his father gave another $174
= 10% x 1.5 u
=
10100 x 1.5 u
= 0.15 u
0.15 u = 174
1 u = 174 ÷ 0.15 = 1160
Difference in the allowance between Ian and Anna
= 1.5 u - 1.15 u
= 0.35 u
= 0.35 x 1160
= $406
Answer(s): $406
