Peter's and Kathy's monthly allowances were the same at first. Peter's allowance increased by 50% while Kathy's increased by 40%. Given that Peter's allowance would increase by another 10% if he had received $195 more from his father, find the difference in the children's monthly allowances.
| |
Peter |
Kathy |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.5 u |
+ 0.4 u |
| After 1 |
1.5 u |
1.4 u |
| Change 2 |
+ 0.15 u |
No change |
| After 2 |
1.65 u |
1.4 u |
Increase in Peter's allowance
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
Increase in Kathy's allowance
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
Increase in Peter's allowance if his father gave another $195
= 10% x 1.5 u
=
10100 x 1.5 u
= 0.15 u
0.15 u = 195
1 u = 195 ÷ 0.15 = 1300
Difference in the allowance between Peter and Kathy
= 1.5 u - 1.4 u
= 0.1 u
= 0.1 x 1300
= $130
Answer(s): $130
