Ken's and Tammy's monthly allowances were the same at first. Ken's allowance increased by 25% while Tammy's decreased by 40%. Given that Ken's allowance would decrease by another 20% if he had received $465 less from his mothers, find the difference in the children's monthly allowances.
| |
Ken |
Tammy |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.25 u |
- 0.4 u |
| After 1 |
1.25 u |
0.6 u |
| Change 2 |
- 0.25 u |
No change |
| After 2 |
1 u |
0.6 u |
Increase in Ken's allowance
= 25% x 1 u
=
25100 x 1 u
= 0.25 u
Decrease in Tammy's allowance
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
Decrease in Ken's allowance if he had received $465 less from his mothers
= 20% x 1.25 u
=
20100 x 1.25 u
= 0.25 u
0.25 u = 465
1 u = 465 ÷ 0.25 = 1860
Difference in the allowance between Ken and Tammy
= 1.25 u - 0.6 u
= 0.65 u
= 0.65 x 1860
= $1209
Answer(s): $1209
