Fred's and Eva's monthly allowances were the same at first. Fred's allowance increased by 50% while Eva's increased by 35%. Given that Fred's allowance would increase by another 20% if he had received $600 more from his father, find the difference in the children's monthly allowances.
| |
Fred |
Eva |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.5 u |
+ 0.35 u |
| After 1 |
1.5 u |
1.35 u |
| Change 2 |
+ 0.3 u |
No change |
| After 2 |
1.8 u |
1.35 u |
Increase in Fred's allowance
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
Increase in Eva's allowance
= 35% x 1 u
=
35100 x 1 u
= 0.35 u
Increase in Fred's allowance if his father gave another $600
= 20% x 1.5 u
=
20100 x 1.5 u
= 0.3 u
0.3 u = 600
1 u = 600 ÷ 0.3 = 2000
Difference in the allowance between Fred and Eva
= 1.5 u - 1.35 u
= 0.15 u
= 0.15 x 2000
= $300
Answer(s): $300
