Lee's and Opal's monthly allowances were the same at first. Lee's allowance increased by 50% while Opal's increased by 20%. Given that Lee's allowance would increase by another 40% if he had received $882 more from his mother, find the difference in the children's monthly allowances.
| |
Lee |
Opal |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.5 u |
+ 0.2 u |
| After 1 |
1.5 u |
1.2 u |
| Change 2 |
+ 0.6 u |
No change |
| After 2 |
2.1 u |
1.2 u |
Increase in Lee's allowance
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
Increase in Opal's allowance
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
Increase in Lee's allowance if his mother gave another $882
= 40% x 1.5 u
=
40100 x 1.5 u
= 0.6 u
0.6 u = 882
1 u = 882 ÷ 0.6 = 1470
Difference in the allowance between Lee and Opal
= 1.5 u - 1.2 u
= 0.3 u
= 0.3 x 1470
= $441
Answer(s): $441
