Sam's and Min's monthly allowances were the same at first. Sam's allowance increased by 25% while Min's decreased by 35%. Given that Sam's allowance would decrease by another 40% if he had received $1270 less from his mothers, find the difference in the children's monthly allowances.
| |
Sam |
Min |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.25 u |
- 0.35 u |
| After 1 |
1.25 u |
0.65 u |
| Change 2 |
- 0.5 u |
No change |
| After 2 |
0.75 u |
0.65 u |
Increase in Sam's allowance
= 25% x 1 u
=
25100 x 1 u
= 0.25 u
Decrease in Min's allowance
= 35% x 1 u
=
35100 x 1 u
= 0.35 u
Decrease in Sam's allowance if he had received $1270 less from his mothers
= 40% x 1.25 u
=
40100 x 1.25 u
= 0.5 u
0.5 u = 1270
1 u = 1270 ÷ 0.5 = 2540
Difference in the allowance between Sam and Min
= 1.25 u - 0.65 u
= 0.6 u
= 0.6 x 2540
= $1524
Answer(s): $1524
