Ethan's and Anna's monthly allowances were the same at first. Ethan's allowance increased by 40% while Anna's increased by 20%. Given that Ethan's allowance would increase by another 25% if he had received $1043 more from his mother, find the difference in the children's monthly allowances.
| |
Ethan |
Anna |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.4 u |
+ 0.2 u |
| After 1 |
1.4 u |
1.2 u |
| Change 2 |
+ 0.35 u |
No change |
| After 2 |
1.75 u |
1.2 u |
Increase in Ethan's allowance
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
Increase in Anna's allowance
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
Increase in Ethan's allowance if his mother gave another $1043
= 25% x 1.4 u
=
25100 x 1.4 u
= 0.35 u
0.35 u = 1043
1 u = 1043 ÷ 0.35 = 2980
Difference in the allowance between Ethan and Anna
= 1.4 u - 1.2 u
= 0.2 u
= 0.2 x 2980
= $596
Answer(s): $596
