Rael's and Julie's monthly allowances were the same at first. Rael's allowance increased by 20% while Julie's decreased by 40%. Given that Rael's allowance would increase by another 20% if he had received $504 more from his Fathers, find the difference in the children's monthly allowances.
| |
Rael |
Julie |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.2 u |
- 0.4 u |
| After 1 |
1.2 u |
0.6 u |
| Change 2 |
+ 0.24 u |
No change |
| After 2 |
1.44 u |
0.6 u |
Increase in Rael's allowance
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
Decrease in Julie's allowance
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
Increase in Rael's allowance if his Fathers gave another $504
= 20% x 1.2 u
=
20100 x 1.2 u
= 0.24 u
0.24 u = 504
1 u = 504 ÷ 0.24 = 2100
Difference in the allowance between Rael and Julie
= 1.2 u - 0.6 u
= 0.6 u
= 0.6 x 2100
= $1260
Answer(s): $1260
