Oscar's and Opal's monthly allowances were the same at first. Oscar's allowance increased by 45% while Opal's increased by 35%. Given that Oscar's allowance would increase by another 40% if he had received $1160 more from his father, find the difference in the children's monthly allowances.
| |
Oscar |
Opal |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.45 u |
+ 0.35 u |
| After 1 |
1.45 u |
1.35 u |
| Change 2 |
+ 0.58 u |
No change |
| After 2 |
2.03 u |
1.35 u |
Increase in Oscar's allowance
= 45% x 1 u
=
45100 x 1 u
= 0.45 u
Increase in Opal's allowance
= 35% x 1 u
=
35100 x 1 u
= 0.35 u
Increase in Oscar's allowance if his father gave another $1160
= 40% x 1.45 u
=
40100 x 1.45 u
= 0.58 u
0.58 u = 1160
1 u = 1160 ÷ 0.58 = 2000
Difference in the allowance between Oscar and Opal
= 1.45 u - 1.35 u
= 0.1 u
= 0.1 x 2000
= $200
Answer(s): $200
