Paul had $100 less than Reggie. If Reggie spends $50 and Paul's mother gave Paul $630, Reggie will have
14 as much money as Paul. How much money did Paul and Reggie have?
| |
Make p the same
(1)x4 = (3) |
Paul
(1) |
Reggie
(2) |
| Before |
4 u |
1 u |
1 u + 100 |
| Change |
- 200 |
- 50 |
+ 630 |
| After |
4 p |
1 p |
4 p |
Since Paul had $100 less than Reggie, this means Reggie had $100 more than Paul.
1 u - 50 = 1 p --- (1)
1 u + 100 + 630 = 4 p
1 u + 730 =
4 p --- (2)
Make p the same.
(1)
x4
4 u - 200 =
4 p --- (3)
(3) = (2)
4 u - 200 = 1 u + 730
4 u - 1 u = 730 + 200
3 u = 930
1 u = 930 ÷ 3 = 310
Total amount that Paul and Reggie had
= 1 u + 1 u + 100
= 2 u + 100
= 2 x 310 + 100
= 620 + 100
= $720
Answer(s): $720
