Zane and Xavier share a sum of money. Zane receives $400. If Zane gets $160 less, the amount of money Xavier gets will increase by 20%. Find the sum of money that the boys share.
| |
Zane |
Xavier |
| Before |
400 |
100% |
| Change |
- 160 |
+ 160 (+ 20%) |
| After |
|
120% |
If Zane gets $160 less, it means Xavier will receive more money as they share a sum of money.
Amount that Xavier gets more in percent = 20%
20% → 160
1% → 160 ÷ 20 = 8
Amount that Xavier has
= 100%
= 100 x 8
= $800
Amount that the boys share
= 800 + 400
= $1200
Answer(s): $1200
