Luke's and Pamela's monthly allowances were the same at first. Luke's allowance increased by 50% while Pamela's increased by 40%. Given that Luke's allowance would increase by another 40% if he had received $600 more from his father, find the difference in the children's monthly allowances.
| |
Luke |
Pamela |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.5 u |
+ 0.4 u |
| After 1 |
1.5 u |
1.4 u |
| Change 2 |
+ 0.6 u |
No change |
| After 2 |
2.1 u |
1.4 u |
Increase in Luke's allowance
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
Increase in Pamela's allowance
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
Increase in Luke's allowance if his father gave another $600
= 40% x 1.5 u
=
40100 x 1.5 u
= 0.6 u
0.6 u = 600
1 u = 600 ÷ 0.6 = 1000
Difference in the allowance between Luke and Pamela
= 1.5 u - 1.4 u
= 0.1 u
= 0.1 x 1000
= $100
Answer(s): $100
