Ken's and Cindy's monthly allowances were the same at first. Ken's allowance increased by 30% while Cindy's decreased by 40%. Given that Ken's allowance would decrease by another 30% if he had received $1053 less from his parents, find the difference in the children's monthly allowances.
| |
Ken |
Cindy |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.3 u |
- 0.4 u |
| After 1 |
1.3 u |
0.6 u |
| Change 2 |
- 0.39 u |
No change |
| After 2 |
0.91 u |
0.6 u |
Increase in Ken's allowance
= 30% x 1 u
=
30100 x 1 u
= 0.3 u
Decrease in Cindy's allowance
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
Decrease in Ken's allowance if he had received $1053 less from his parents
= 30% x 1.3 u
=
30100 x 1.3 u
= 0.39 u
0.39 u = 1053
1 u = 1053 ÷ 0.39 = 2700
Difference in the allowance between Ken and Cindy
= 1.3 u - 0.6 u
= 0.7 u
= 0.7 x 2700
= $1890
Answer(s): $1890
