Oscar's and Kylie's monthly allowances were the same at first. Oscar's allowance increased by 25% while Kylie's increased by 15%. Given that Oscar's allowance would increase by another 40% if he had received $1230 more from his mother, find the difference in the children's monthly allowances.
| |
Oscar |
Kylie |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.25 u |
+ 0.15 u |
| After 1 |
1.25 u |
1.15 u |
| Change 2 |
+ 0.5 u |
No change |
| After 2 |
1.75 u |
1.15 u |
Increase in Oscar's allowance
= 25% x 1 u
=
25100 x 1 u
= 0.25 u
Increase in Kylie's allowance
= 15% x 1 u
=
15100 x 1 u
= 0.15 u
Increase in Oscar's allowance if his mother gave another $1230
= 40% x 1.25 u
=
40100 x 1.25 u
= 0.5 u
0.5 u = 1230
1 u = 1230 ÷ 0.5 = 2460
Difference in the allowance between Oscar and Kylie
= 1.25 u - 1.15 u
= 0.1 u
= 0.1 x 2460
= $246
Answer(s): $246
