Ken's and Jane's monthly allowances were the same at first. Ken's allowance increased by 50% while Jane's decreased by 40%. Given that Ken's allowance would increase by another 20% if he had received $708 more from his Parents, find the difference in the children's monthly allowances.
| |
Ken |
Jane |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.5 u |
- 0.4 u |
| After 1 |
1.5 u |
0.6 u |
| Change 2 |
+ 0.3 u |
No change |
| After 2 |
1.8 u |
0.6 u |
Increase in Ken's allowance
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
Decrease in Jane's allowance
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
Increase in Ken's allowance if his Parents gave another $708
= 20% x 1.5 u
=
20100 x 1.5 u
= 0.3 u
0.3 u = 708
1 u = 708 ÷ 0.3 = 2360
Difference in the allowance between Ken and Jane
= 1.5 u - 0.6 u
= 0.9 u
= 0.9 x 2360
= $2124
Answer(s): $2124
