Ken's and Hazel's monthly allowances were the same at first. Ken's allowance increased by 20% while Hazel's decreased by 40%. Given that Ken's allowance would increase by another 25% if he had received $768 more from his Mothers, find the difference in the children's monthly allowances.
| |
Ken |
Hazel |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.2 u |
- 0.4 u |
| After 1 |
1.2 u |
0.6 u |
| Change 2 |
+ 0.3 u |
No change |
| After 2 |
1.5 u |
0.6 u |
Increase in Ken's allowance
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
Decrease in Hazel's allowance
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
Increase in Ken's allowance if his Mothers gave another $768
= 25% x 1.2 u
=
25100 x 1.2 u
= 0.3 u
0.3 u = 768
1 u = 768 ÷ 0.3 = 2560
Difference in the allowance between Ken and Hazel
= 1.2 u - 0.6 u
= 0.6 u
= 0.6 x 2560
= $1536
Answer(s): $1536
