Xavier's and Eva's monthly allowances were the same at first. Xavier's allowance increased by 40% while Eva's increased by 20%. Given that Xavier's allowance would increase by another 30% if he had received $609 more from his father, find the difference in the children's monthly allowances.
| |
Xavier |
Eva |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.4 u |
+ 0.2 u |
| After 1 |
1.4 u |
1.2 u |
| Change 2 |
+ 0.42 u |
No change |
| After 2 |
1.82 u |
1.2 u |
Increase in Xavier's allowance
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
Increase in Eva's allowance
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
Increase in Xavier's allowance if his father gave another $609
= 30% x 1.4 u
=
30100 x 1.4 u
= 0.42 u
0.42 u = 609
1 u = 609 ÷ 0.42 = 1450
Difference in the allowance between Xavier and Eva
= 1.4 u - 1.2 u
= 0.2 u
= 0.2 x 1450
= $290
Answer(s): $290
