Tim's and Eva's monthly allowances were the same at first. Tim's allowance increased by 45% while Eva's decreased by 25%. Given that Tim's allowance would increase by another 40% if he had received $1073 more from his Parents, find the difference in the children's monthly allowances.
| |
Tim |
Eva |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.45 u |
- 0.25 u |
| After 1 |
1.45 u |
0.75 u |
| Change 2 |
+ 0.58 u |
No change |
| After 2 |
2.03 u |
0.75 u |
Increase in Tim's allowance
= 45% x 1 u
=
45100 x 1 u
= 0.45 u
Decrease in Eva's allowance
= 25% x 1 u
=
25100 x 1 u
= 0.25 u
Increase in Tim's allowance if his Parents gave another $1073
= 40% x 1.45 u
=
40100 x 1.45 u
= 0.58 u
0.58 u = 1073
1 u = 1073 ÷ 0.58 = 1850
Difference in the allowance between Tim and Eva
= 1.45 u - 0.75 u
= 0.7 u
= 0.7 x 1850
= $1295
Answer(s): $1295
