David and Archie share a sum of money. David receives $1300. If David gets $405 more, the amount of money Archie gets will decrease by 45%. Find the sum of money that the boys share.
| |
David |
Archie |
| Before |
1300 |
100% |
| Change |
+ 405 |
405 (- 45%) |
| After |
|
55% |
If David gets $405 more, it means Archie will receive less money as they share a sum of money.
Amount that Archie gets less in percent = 45%
45% → 405
1% → 405 ÷ 45 = 9
Amount that Archie has
= 100%
= 100 x 9
= $900
Amount that the boys share
= 900 + 1300
= $2200
Answer(s): $2200
