Owen's and Olivia's monthly allowances were the same at first. Owen's allowance increased by 50% while Olivia's increased by 40%. Given that Owen's allowance would increase by another 40% if he had received $1566 more from his parent, find the difference in the children's monthly allowances.
| |
Owen |
Olivia |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.5 u |
+ 0.4 u |
| After 1 |
1.5 u |
1.4 u |
| Change 2 |
+ 0.6 u |
No change |
| After 2 |
2.1 u |
1.4 u |
Increase in Owen's allowance
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
Increase in Olivia's allowance
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
Increase in Owen's allowance if his parent gave another $1566
= 40% x 1.5 u
=
40100 x 1.5 u
= 0.6 u
0.6 u = 1566
1 u = 1566 ÷ 0.6 = 2610
Difference in the allowance between Owen and Olivia
= 1.5 u - 1.4 u
= 0.1 u
= 0.1 x 2610
= $261
Answer(s): $261
