David and Xavier share a sum of money. David receives $1600. If David gets $300 more, the amount of money Xavier gets will decrease by 30%. Find the sum of money that the boys share.
|
David |
Xavier |
Before |
1600 |
100% |
Change |
+ 300 |
300 (- 30%) |
After |
|
70% |
If David gets $300 more, it means Xavier will receive less money as they share a sum of money.
Amount that Xavier gets less in percent = 30%
30% → 300
1% → 300 ÷ 30 = 10
Amount that Xavier has
= 100%
= 100 x 10
= $1000
Amount that the boys share
= 1000 + 1600
= $2600
Answer(s): $2600