Caden's and Zara's monthly allowances were the same at first. Caden's allowance increased by 40% while Zara's decreased by 15%. Given that Caden's allowance would increase by another 25% if he had received $994 more from his Fathers, find the difference in the children's monthly allowances.
| |
Caden |
Zara |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.4 u |
- 0.15 u |
| After 1 |
1.4 u |
0.85 u |
| Change 2 |
+ 0.35 u |
No change |
| After 2 |
1.75 u |
0.85 u |
Increase in Caden's allowance
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
Decrease in Zara's allowance
= 15% x 1 u
=
15100 x 1 u
= 0.15 u
Increase in Caden's allowance if his Fathers gave another $994
= 25% x 1.4 u
=
25100 x 1.4 u
= 0.35 u
0.35 u = 994
1 u = 994 ÷ 0.35 = 2840
Difference in the allowance between Caden and Zara
= 1.4 u - 0.85 u
= 0.55 u
= 0.55 x 2840
= $1562
Answer(s): $1562
