Cole's and Kathy's monthly allowances were the same at first. Cole's allowance increased by 45% while Kathy's decreased by 25%. Given that Cole's allowance would increase by another 20% if he had received $696 more from his Mothers, find the difference in the children's monthly allowances.
| |
Cole |
Kathy |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.45 u |
- 0.25 u |
| After 1 |
1.45 u |
0.75 u |
| Change 2 |
+ 0.29 u |
No change |
| After 2 |
1.74 u |
0.75 u |
Increase in Cole's allowance
= 45% x 1 u
=
45100 x 1 u
= 0.45 u
Decrease in Kathy's allowance
= 25% x 1 u
=
25100 x 1 u
= 0.25 u
Increase in Cole's allowance if his Mothers gave another $696
= 20% x 1.45 u
=
20100 x 1.45 u
= 0.29 u
0.29 u = 696
1 u = 696 ÷ 0.29 = 2400
Difference in the allowance between Cole and Kathy
= 1.45 u - 0.75 u
= 0.7 u
= 0.7 x 2400
= $1680
Answer(s): $1680
