Mark's and Eva's monthly allowances were the same at first. Mark's allowance increased by 50% while Eva's decreased by 20%. Given that Mark's allowance would decrease by another 10% if he had received $258 less from his mothers, find the difference in the children's monthly allowances.
| |
Mark |
Eva |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.5 u |
- 0.2 u |
| After 1 |
1.5 u |
0.8 u |
| Change 2 |
- 0.15 u |
No change |
| After 2 |
1.35 u |
0.8 u |
Increase in Mark's allowance
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
Decrease in Eva's allowance
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
Decrease in Mark's allowance if he had received $258 less from his mothers
= 10% x 1.5 u
=
10100 x 1.5 u
= 0.15 u
0.15 u = 258
1 u = 258 ÷ 0.15 = 1720
Difference in the allowance between Mark and Eva
= 1.5 u - 0.8 u
= 0.7 u
= 0.7 x 1720
= $1204
Answer(s): $1204
