Zane's and Yoko's monthly allowances were the same at first. Zane's allowance increased by 30% while Yoko's decreased by 20%. Given that Zane's allowance would decrease by another 20% if he had received $286 less from his mothers, find the difference in the children's monthly allowances.
| |
Zane |
Yoko |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.3 u |
- 0.2 u |
| After 1 |
1.3 u |
0.8 u |
| Change 2 |
- 0.26 u |
No change |
| After 2 |
1.04 u |
0.8 u |
Increase in Zane's allowance
= 30% x 1 u
=
30100 x 1 u
= 0.3 u
Decrease in Yoko's allowance
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
Decrease in Zane's allowance if he had received $286 less from his mothers
= 20% x 1.3 u
=
20100 x 1.3 u
= 0.26 u
0.26 u = 286
1 u = 286 ÷ 0.26 = 1100
Difference in the allowance between Zane and Yoko
= 1.3 u - 0.8 u
= 0.5 u
= 0.5 x 1100
= $550
Answer(s): $550
