Gabriel's and Sabrina's monthly allowances were the same at first. Gabriel's allowance increased by 50% while Sabrina's decreased by 35%. Given that Gabriel's allowance would decrease by another 20% if he had received $372 less from his parents, find the difference in the children's monthly allowances.
|
Gabriel |
Sabrina |
Before |
1 u |
1 u |
Change 1 |
+ 0.5 u |
- 0.35 u |
After 1 |
1.5 u |
0.65 u |
Change 2 |
- 0.3 u |
No change |
After 2 |
1.2 u |
0.65 u |
Increase in Gabriel's allowance
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
Decrease in Sabrina's allowance
= 35% x 1 u
=
35100 x 1 u
= 0.35 u
Decrease in Gabriel's allowance if he had received $372 less from his parents
= 20% x 1.5 u
=
20100 x 1.5 u
= 0.3 u
0.3 u = 372
1 u = 372 ÷ 0.3 = 1240
Difference in the allowance between Gabriel and Sabrina
= 1.5 u - 0.65 u
= 0.85 u
= 0.85 x 1240
= $1054
Answer(s): $1054