Liam had $180 less than Paul. If Paul spends $130 and Liam's mother gave Liam $500, Paul will have
14 as much money as Liam. How much money did Liam and Paul have?
| |
Make p the same
(1)x4 = (3) |
Liam
(1) |
Paul
(2) |
| Before |
4 u |
1 u |
1 u + 180 |
| Change |
- 520 |
- 130 |
+ 500 |
| After |
4 p |
1 p |
4 p |
Since Liam had $180 less than Paul, this means Paul had $180 more than Liam.
1 u - 130 = 1 p --- (1)
1 u + 180 + 500 = 4 p
1 u + 680 =
4 p --- (2)
Make p the same.
(1)
x4
4 u - 520 =
4 p --- (3)
(3) = (2)
4 u - 520 = 1 u + 680
4 u - 1 u = 680 + 520
3 u = 1200
1 u = 1200 ÷ 3 = 400
Total amount that Liam and Paul had
= 1 u + 1 u + 180
= 2 u + 180
= 2 x 400 + 180
= 800 + 180
= $980
Answer(s): $980
