Michael had $140 less than Charlie. If Charlie spends $120 and Michael's mother gave Michael $580, Charlie will have
14 as much money as Michael. How much money did Michael and Charlie have?
| |
Make p the same
(1)x4 = (3) |
Michael
(1) |
Charlie
(2) |
| Before |
4 u |
1 u |
1 u + 140 |
| Change |
- 480 |
- 120 |
+ 580 |
| After |
4 p |
1 p |
4 p |
Since Michael had $140 less than Charlie, this means Charlie had $140 more than Michael.
1 u - 120 = 1 p --- (1)
1 u + 140 + 580 = 4 p
1 u + 720 =
4 p --- (2)
Make p the same.
(1)
x4
4 u - 480 =
4 p --- (3)
(3) = (2)
4 u - 480 = 1 u + 720
4 u - 1 u = 720 + 480
3 u = 1200
1 u = 1200 ÷ 3 = 400
Total amount that Michael and Charlie had
= 1 u + 1 u + 140
= 2 u + 140
= 2 x 400 + 140
= 800 + 140
= $940
Answer(s): $940
