Neave's and Pamela's monthly allowances were the same at first. Neave's allowance increased by 35% while Pamela's decreased by 25%. Given that Neave's allowance would increase by another 20% if he had received $378 more from his Mothers, find the difference in the children's monthly allowances.
|
Neave |
Pamela |
Before |
1 u |
1 u |
Change 1 |
+ 0.35 u |
- 0.25 u |
After 1 |
1.35 u |
0.75 u |
Change 2 |
+ 0.27 u |
No change |
After 2 |
1.62 u |
0.75 u |
Increase in Neave's allowance
= 35% x 1 u
=
35100 x 1 u
= 0.35 u
Decrease in Pamela's allowance
= 25% x 1 u
=
25100 x 1 u
= 0.25 u
Increase in Neave's allowance if his Mothers gave another $378
= 20% x 1.35 u
=
20100 x 1.35 u
= 0.27 u
0.27 u = 378
1 u = 378 ÷ 0.27 = 1400
Difference in the allowance between Neave and Pamela
= 1.35 u - 0.75 u
= 0.6 u
= 0.6 x 1400
= $840
Answer(s): $840