Brandon's and Tammy's monthly allowances were the same at first. Brandon's allowance increased by 25% while Tammy's decreased by 40%. Given that Brandon's allowance would increase by another 40% if he had received $1200 more from his Mothers, find the difference in the children's monthly allowances.
|
Brandon |
Tammy |
Before |
1 u |
1 u |
Change 1 |
+ 0.25 u |
- 0.4 u |
After 1 |
1.25 u |
0.6 u |
Change 2 |
+ 0.5 u |
No change |
After 2 |
1.75 u |
0.6 u |
Increase in Brandon'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
Increase in Brandon's allowance if his Mothers gave another $1200
= 40% x 1.25 u
=
40100 x 1.25 u
= 0.5 u
0.5 u = 1200
1 u = 1200 ÷ 0.5 = 2400
Difference in the allowance between Brandon and Tammy
= 1.25 u - 0.6 u
= 0.65 u
= 0.65 x 2400
= $1560
Answer(s): $1560