Tim's and Opal's monthly allowances were the same at first. Tim's allowance increased by 50% while Opal's increased by 25%. Given that Tim's allowance would increase by another 40% if he had received $840 more from his parent, find the difference in the children's monthly allowances.
| |
Tim |
Opal |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.5 u |
+ 0.25 u |
| After 1 |
1.5 u |
1.25 u |
| Change 2 |
+ 0.6 u |
No change |
| After 2 |
2.1 u |
1.25 u |
Increase in Tim's allowance
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
Increase in Opal's allowance
= 25% x 1 u
=
25100 x 1 u
= 0.25 u
Increase in Tim's allowance if his parent gave another $840
= 40% x 1.5 u
=
40100 x 1.5 u
= 0.6 u
0.6 u = 840
1 u = 840 ÷ 0.6 = 1400
Difference in the allowance between Tim and Opal
= 1.5 u - 1.25 u
= 0.25 u
= 0.25 x 1400
= $350
Answer(s): $350
