Xavier's and Opal's monthly allowances were the same at first. Xavier's allowance increased by 45% while Opal's increased by 25%. Given that Xavier's allowance would increase by another 40% if he had received $841 more from his parent, find the difference in the children's monthly allowances.
| |
Xavier |
Opal |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.45 u |
+ 0.25 u |
| After 1 |
1.45 u |
1.25 u |
| Change 2 |
+ 0.58 u |
No change |
| After 2 |
2.03 u |
1.25 u |
Increase in Xavier's allowance
= 45% x 1 u
=
45100 x 1 u
= 0.45 u
Increase in Opal's allowance
= 25% x 1 u
=
25100 x 1 u
= 0.25 u
Increase in Xavier's allowance if his parent gave another $841
= 40% x 1.45 u
=
40100 x 1.45 u
= 0.58 u
0.58 u = 841
1 u = 841 ÷ 0.58 = 1450
Difference in the allowance between Xavier and Opal
= 1.45 u - 1.25 u
= 0.2 u
= 0.2 x 1450
= $290
Answer(s): $290
