Bryan's and Nicole's monthly allowances were the same at first. Bryan's allowance increased by 50% while Nicole's increased by 20%. Given that Bryan's allowance would increase by another 20% if he had received $558 more from his parent, find the difference in the children's monthly allowances.
| |
Bryan |
Nicole |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.5 u |
+ 0.2 u |
| After 1 |
1.5 u |
1.2 u |
| Change 2 |
+ 0.3 u |
No change |
| After 2 |
1.8 u |
1.2 u |
Increase in Bryan's allowance
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
Increase in Nicole's allowance
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
Increase in Bryan's allowance if his parent gave another $558
= 20% x 1.5 u
=
20100 x 1.5 u
= 0.3 u
0.3 u = 558
1 u = 558 ÷ 0.3 = 1860
Difference in the allowance between Bryan and Nicole
= 1.5 u - 1.2 u
= 0.3 u
= 0.3 x 1860
= $558
Answer(s): $558
