Luke and Michael share a sum of money. Luke receives $1200. If Luke gets $150 more, the amount of money Michael gets will decrease by 30%. Find the sum of money that the boys share.
| |
Luke |
Michael |
| Before |
1200 |
100% |
| Change |
+ 150 |
150 (- 30%) |
| After |
|
70% |
If Luke gets $150 more, it means Michael will receive less money as they share a sum of money.
Amount that Michael gets less in percent = 30%
30% → 150
1% → 150 ÷ 30 = 5
Amount that Michael has
= 100%
= 100 x 5
= $500
Amount that the boys share
= 500 + 1200
= $1700
Answer(s): $1700
