Fred's and Barbara's monthly allowances were the same at first. Fred's allowance increased by 50% while Barbara's decreased by 20%. Given that Fred's allowance would increase by another 40% if he had received $1560 more from his Fathers, find the difference in the children's monthly allowances.
| |
Fred |
Barbara |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.5 u |
- 0.2 u |
| After 1 |
1.5 u |
0.8 u |
| Change 2 |
+ 0.6 u |
No change |
| After 2 |
2.1 u |
0.8 u |
Increase in Fred's allowance
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
Decrease in Barbara's allowance
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
Increase in Fred's allowance if his Fathers gave another $1560
= 40% x 1.5 u
=
40100 x 1.5 u
= 0.6 u
0.6 u = 1560
1 u = 1560 ÷ 0.6 = 2600
Difference in the allowance between Fred and Barbara
= 1.5 u - 0.8 u
= 0.7 u
= 0.7 x 2600
= $1820
Answer(s): $1820
