Gabriel's and Nicole's monthly allowances were the same at first. Gabriel's allowance increased by 40% while Nicole's increased by 10%. Given that Gabriel's allowance would increase by another 30% if he had received $945 more from his father, find the difference in the children's monthly allowances.
|
Gabriel |
Nicole |
Before |
1 u |
1 u |
Change 1 |
+ 0.4 u |
+ 0.1 u |
After 1 |
1.4 u |
1.1 u |
Change 2 |
+ 0.42 u |
No change |
After 2 |
1.82 u |
1.1 u |
Increase in Gabriel's allowance
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
Increase in Nicole's allowance
= 10% x 1 u
=
10100 x 1 u
= 0.1 u
Increase in Gabriel's allowance if his father gave another $945
= 30% x 1.4 u
=
30100 x 1.4 u
= 0.42 u
0.42 u = 945
1 u = 945 ÷ 0.42 = 2250
Difference in the allowance between Gabriel and Nicole
= 1.4 u - 1.1 u
= 0.3 u
= 0.3 x 2250
= $675
Answer(s): $675