Ken's and Sabrina's monthly allowances were the same at first. Ken's allowance increased by 40% while Sabrina's decreased by 35%. Given that Ken's allowance would decrease by another 25% if he had received $567 less from his parents, find the difference in the children's monthly allowances.
|
Ken |
Sabrina |
Before |
1 u |
1 u |
Change 1 |
+ 0.4 u |
- 0.35 u |
After 1 |
1.4 u |
0.65 u |
Change 2 |
- 0.35 u |
No change |
After 2 |
1.05 u |
0.65 u |
Increase in Ken's allowance
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
Decrease in Sabrina's allowance
= 35% x 1 u
=
35100 x 1 u
= 0.35 u
Decrease in Ken's allowance if he had received $567 less from his parents
= 25% x 1.4 u
=
25100 x 1.4 u
= 0.35 u
0.35 u = 567
1 u = 567 ÷ 0.35 = 1620
Difference in the allowance between Ken and Sabrina
= 1.4 u - 0.65 u
= 0.75 u
= 0.75 x 1620
= $1215
Answer(s): $1215