Ivan's and Pamela's monthly allowances were the same at first. Ivan's allowance increased by 50% while Pamela's increased by 15%. Given that Ivan's allowance would increase by another 30% if he had received $1026 more from his father, find the difference in the children's monthly allowances.
| |
Ivan |
Pamela |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.5 u |
+ 0.15 u |
| After 1 |
1.5 u |
1.15 u |
| Change 2 |
+ 0.45 u |
No change |
| After 2 |
1.95 u |
1.15 u |
Increase in Ivan's allowance
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
Increase in Pamela's allowance
= 15% x 1 u
=
15100 x 1 u
= 0.15 u
Increase in Ivan's allowance if his father gave another $1026
= 30% x 1.5 u
=
30100 x 1.5 u
= 0.45 u
0.45 u = 1026
1 u = 1026 ÷ 0.45 = 2280
Difference in the allowance between Ivan and Pamela
= 1.5 u - 1.15 u
= 0.35 u
= 0.35 x 2280
= $798
Answer(s): $798
