Paul had $160 less than Michael. If Michael spends $140 and Paul's mother gave Paul $500, Michael will have
16 as much money as Paul. How much money did Paul and Michael have?
| |
Make p the same
(1)x6 = (3) |
Paul
(1) |
Michael
(2) |
| Before |
6 u |
1 u |
1 u + 160 |
| Change |
- 840 |
- 140 |
+ 500 |
| After |
6 p |
1 p |
6 p |
Since Paul had $160 less than Michael, this means Michael had $160 more than Paul.
1 u - 140 = 1 p --- (1)
1 u + 160 + 500 = 6 p
1 u + 660 =
6 p --- (2)
Make p the same.
(1)
x6
6 u - 840 =
6 p --- (3)
(3) = (2)
6 u - 840 = 1 u + 660
6 u - 1 u = 660 + 840
5 u = 1500
1 u = 1500 ÷ 5 = 300
Total amount that Paul and Michael had
= 1 u + 1 u + 160
= 2 u + 160
= 2 x 300 + 160
= 600 + 160
= $760
Answer(s): $760
