Xavier and Tom share a sum of money. Xavier receives $1900. If Xavier gets $405 more, the amount of money Tom gets will decrease by 45%. Find the sum of money that the boys share.
| |
Xavier |
Tom |
| Before |
1900 |
100% |
| Change |
+ 405 |
405 (- 45%) |
| After |
|
55% |
If Xavier gets $405 more, it means Tom will receive less money as they share a sum of money.
Amount that Tom gets less in percent = 45%
45% → 405
1% → 405 ÷ 45 = 9
Amount that Tom has
= 100%
= 100 x 9
= $900
Amount that the boys share
= 900 + 1900
= $2800
Answer(s): $2800
