Tommy's and Shannon's monthly allowances were the same at first. Tommy's allowance increased by 25% while Shannon's decreased by 15%. Given that Tommy's allowance would increase by another 40% if he had received $1115 more from his Parents, find the difference in the children's monthly allowances.
|
Tommy |
Shannon |
Before |
1 u |
1 u |
Change 1 |
+ 0.25 u |
- 0.15 u |
After 1 |
1.25 u |
0.85 u |
Change 2 |
+ 0.5 u |
No change |
After 2 |
1.75 u |
0.85 u |
Increase in Tommy's allowance
= 25% x 1 u
=
25100 x 1 u
= 0.25 u
Decrease in Shannon's allowance
= 15% x 1 u
=
15100 x 1 u
= 0.15 u
Increase in Tommy's allowance if his Parents gave another $1115
= 40% x 1.25 u
=
40100 x 1.25 u
= 0.5 u
0.5 u = 1115
1 u = 1115 ÷ 0.5 = 2230
Difference in the allowance between Tommy and Shannon
= 1.25 u - 0.85 u
= 0.4 u
= 0.4 x 2230
= $892
Answer(s): $892