Dylan's and Dana's monthly allowances were the same at first. Dylan's allowance increased by 40% while Dana's increased by 35%. Given that Dylan's allowance would increase by another 20% if he had received $364 more from his mother, find the difference in the children's monthly allowances.
| |
Dylan |
Dana |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.4 u |
+ 0.35 u |
| After 1 |
1.4 u |
1.35 u |
| Change 2 |
+ 0.28 u |
No change |
| After 2 |
1.68 u |
1.35 u |
Increase in Dylan's allowance
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
Increase in Dana's allowance
= 35% x 1 u
=
35100 x 1 u
= 0.35 u
Increase in Dylan's allowance if his mother gave another $364
= 20% x 1.4 u
=
20100 x 1.4 u
= 0.28 u
0.28 u = 364
1 u = 364 ÷ 0.28 = 1300
Difference in the allowance between Dylan and Dana
= 1.4 u - 1.35 u
= 0.05 u
= 0.05 x 1300
= $65
Answer(s): $65
