Tom's and Xylia's monthly allowances were the same at first. Tom's allowance increased by 25% while Xylia's decreased by 35%. Given that Tom's allowance would increase by another 40% if he had received $705 more from his Fathers, find the difference in the children's monthly allowances.
| |
Tom |
Xylia |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.25 u |
- 0.35 u |
| After 1 |
1.25 u |
0.65 u |
| Change 2 |
+ 0.5 u |
No change |
| After 2 |
1.75 u |
0.65 u |
Increase in Tom's allowance
= 25% x 1 u
=
25100 x 1 u
= 0.25 u
Decrease in Xylia's allowance
= 35% x 1 u
=
35100 x 1 u
= 0.35 u
Increase in Tom's allowance if his Fathers gave another $705
= 40% x 1.25 u
=
40100 x 1.25 u
= 0.5 u
0.5 u = 705
1 u = 705 ÷ 0.5 = 1410
Difference in the allowance between Tom and Xylia
= 1.25 u - 0.65 u
= 0.6 u
= 0.6 x 1410
= $846
Answer(s): $846
