Mark's and Xandra's monthly allowances were the same at first. Mark's allowance increased by 25% while Xandra's decreased by 40%. Given that Mark's allowance would increase by another 20% if he had received $270 more from his Fathers, find the difference in the children's monthly allowances.
| |
Mark |
Xandra |
| 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 |
1.5 u |
0.6 u |
Increase in Mark's allowance
= 25% x 1 u
=
25100 x 1 u
= 0.25 u
Decrease in Xandra's allowance
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
Increase in Mark's allowance if his Fathers gave another $270
= 20% x 1.25 u
=
20100 x 1.25 u
= 0.25 u
0.25 u = 270
1 u = 270 ÷ 0.25 = 1080
Difference in the allowance between Mark and Xandra
= 1.25 u - 0.6 u
= 0.65 u
= 0.65 x 1080
= $702
Answer(s): $702
