Peter had $150 less than Lee. If Lee spends $110 and Peter's mother gave Peter $490, Lee will have
16 as much money as Peter. How much money did Peter and Lee have?
| |
Make p the same
(1)x6 = (3) |
Peter
(1) |
Lee
(2) |
| Before |
6 u |
1 u |
1 u + 150 |
| Change |
- 660 |
- 110 |
+ 490 |
| After |
6 p |
1 p |
6 p |
Since Peter had $150 less than Lee, this means Lee had $150 more than Peter.
1 u - 110 = 1 p --- (1)
1 u + 150 + 490 = 6 p
1 u + 640 =
6 p --- (2)
Make p the same.
(1)
x6
6 u - 660 =
6 p --- (3)
(3) = (2)
6 u - 660 = 1 u + 640
6 u - 1 u = 640 + 660
5 u = 1300
1 u = 1300 ÷ 5 = 260
Total amount that Peter and Lee had
= 1 u + 1 u + 150
= 2 u + 150
= 2 x 260 + 150
= 520 + 150
= $670
Answer(s): $670
