Zeph's and Tiffany's monthly allowances were the same at first. Zeph's allowance increased by 45% while Tiffany's increased by 20%. Given that Zeph's allowance would increase by another 20% if he had received $348 more from his mother, find the difference in the children's monthly allowances.
| |
Zeph |
Tiffany |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.45 u |
+ 0.2 u |
| After 1 |
1.45 u |
1.2 u |
| Change 2 |
+ 0.29 u |
No change |
| After 2 |
1.74 u |
1.2 u |
Increase in Zeph's allowance
= 45% x 1 u
=
45100 x 1 u
= 0.45 u
Increase in Tiffany's allowance
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
Increase in Zeph's allowance if his mother gave another $348
= 20% x 1.45 u
=
20100 x 1.45 u
= 0.29 u
0.29 u = 348
1 u = 348 ÷ 0.29 = 1200
Difference in the allowance between Zeph and Tiffany
= 1.45 u - 1.2 u
= 0.25 u
= 0.25 x 1200
= $300
Answer(s): $300
