Ethan's and Xuan's monthly allowances were the same at first. Ethan's allowance increased by 40% while Xuan's increased by 10%. Given that Ethan's allowance would increase by another 25% if he had received $756 more from his father, find the difference in the children's monthly allowances.
| |
Ethan |
Xuan |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.4 u |
+ 0.1 u |
| After 1 |
1.4 u |
1.1 u |
| Change 2 |
+ 0.35 u |
No change |
| After 2 |
1.75 u |
1.1 u |
Increase in Ethan's allowance
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
Increase in Xuan's allowance
= 10% x 1 u
=
10100 x 1 u
= 0.1 u
Increase in Ethan's allowance if his father gave another $756
= 25% x 1.4 u
=
25100 x 1.4 u
= 0.35 u
0.35 u = 756
1 u = 756 ÷ 0.35 = 2160
Difference in the allowance between Ethan and Xuan
= 1.4 u - 1.1 u
= 0.3 u
= 0.3 x 2160
= $648
Answer(s): $648
