Peter's and Hilda's monthly allowances were the same at first. Peter's allowance increased by 40% while Hilda's increased by 10%. Given that Peter's allowance would increase by another 20% if he had received $322 more from his parent, find the difference in the children's monthly allowances.
| |
Peter |
Hilda |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.4 u |
+ 0.1 u |
| After 1 |
1.4 u |
1.1 u |
| Change 2 |
+ 0.28 u |
No change |
| After 2 |
1.68 u |
1.1 u |
Increase in Peter's allowance
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
Increase in Hilda's allowance
= 10% x 1 u
=
10100 x 1 u
= 0.1 u
Increase in Peter's allowance if his parent gave another $322
= 20% x 1.4 u
=
20100 x 1.4 u
= 0.28 u
0.28 u = 322
1 u = 322 ÷ 0.28 = 1150
Difference in the allowance between Peter and Hilda
= 1.4 u - 1.1 u
= 0.3 u
= 0.3 x 1150
= $345
Answer(s): $345
