Elijah's and Elyse's monthly allowances were the same at first. Elijah's allowance increased by 50% while Elyse's decreased by 40%. Given that Elijah's allowance would increase by another 10% if he had received $420 more from his Mothers, find the difference in the children's monthly allowances.
| |
Elijah |
Elyse |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.5 u |
- 0.4 u |
| After 1 |
1.5 u |
0.6 u |
| Change 2 |
+ 0.15 u |
No change |
| After 2 |
1.65 u |
0.6 u |
Increase in Elijah's allowance
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
Decrease in Elyse's allowance
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
Increase in Elijah's allowance if his Mothers gave another $420
= 10% x 1.5 u
=
10100 x 1.5 u
= 0.15 u
0.15 u = 420
1 u = 420 ÷ 0.15 = 2800
Difference in the allowance between Elijah and Elyse
= 1.5 u - 0.6 u
= 0.9 u
= 0.9 x 2800
= $2520
Answer(s): $2520
