Vaidev's and Zoe's monthly allowances were the same at first. Vaidev's allowance increased by 50% while Zoe's decreased by 10%. Given that Vaidev's allowance would increase by another 20% if he had received $312 more from his Parents, find the difference in the children's monthly allowances.
| |
Vaidev |
Zoe |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.5 u |
- 0.1 u |
| After 1 |
1.5 u |
0.9 u |
| Change 2 |
+ 0.3 u |
No change |
| After 2 |
1.8 u |
0.9 u |
Increase in Vaidev's allowance
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
Decrease in Zoe's allowance
= 10% x 1 u
=
10100 x 1 u
= 0.1 u
Increase in Vaidev's allowance if his Parents gave another $312
= 20% x 1.5 u
=
20100 x 1.5 u
= 0.3 u
0.3 u = 312
1 u = 312 ÷ 0.3 = 1040
Difference in the allowance between Vaidev and Zoe
= 1.5 u - 0.9 u
= 0.6 u
= 0.6 x 1040
= $624
Answer(s): $624
