Rael's and Jen's monthly allowances were the same at first. Rael's allowance increased by 50% while Jen's decreased by 20%. Given that Rael's allowance would increase by another 20% if he had received $384 more from his Fathers, find the difference in the children's monthly allowances.
| |
Rael |
Jen |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.5 u |
- 0.2 u |
| After 1 |
1.5 u |
0.8 u |
| Change 2 |
+ 0.3 u |
No change |
| After 2 |
1.8 u |
0.8 u |
Increase in Rael's allowance
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
Decrease in Jen's allowance
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
Increase in Rael's allowance if his Fathers gave another $384
= 20% x 1.5 u
=
20100 x 1.5 u
= 0.3 u
0.3 u = 384
1 u = 384 ÷ 0.3 = 1280
Difference in the allowance between Rael and Jen
= 1.5 u - 0.8 u
= 0.7 u
= 0.7 x 1280
= $896
Answer(s): $896
