Eric had $140 less than Paul. If Paul spends $120 and Eric's mother gave Eric $1240, Paul will have
16 as much money as Eric. How much money did Eric and Paul have?
| |
Make p the same
(1)x6 = (3) |
Eric
(1) |
Paul
(2) |
| Before |
6 u |
1 u |
1 u + 140 |
| Change |
- 720 |
- 120 |
+ 1240 |
| After |
6 p |
1 p |
6 p |
Since Eric had $140 less than Paul, this means Paul had $140 more than Eric.
1 u - 120 = 1 p --- (1)
1 u + 140 + 1240 = 6 p
1 u + 1380 =
6 p --- (2)
Make p the same.
(1)
x6
6 u - 720 =
6 p --- (3)
(3) = (2)
6 u - 720 = 1 u + 1380
6 u - 1 u = 1380 + 720
5 u = 2100
1 u = 2100 ÷ 5 = 420
Total amount that Eric and Paul had
= 1 u + 1 u + 140
= 2 u + 140
= 2 x 420 + 140
= 840 + 140
= $980
Answer(s): $980
