Warren had $150 less than Carl. If Carl spends $60 and Warren's mother gave Warren $30, Carl will have
13 as much money as Warren. How much money did Warren and Carl have?
| |
Make p the same
(1)x3 = (3) |
Warren
(1) |
Carl
(2) |
| Before |
3 u |
1 u |
1 u + 150 |
| Change |
- 180 |
- 60 |
+ 30 |
| After |
3 p |
1 p |
3 p |
Since Warren had $150 less than Carl, this means Carl had $150 more than Warren.
1 u - 60 = 1 p --- (1)
1 u + 150 + 30 = 3 p
1 u + 180 =
3 p --- (2)
Make p the same.
(1)
x3
3 u - 180 =
3 p --- (3)
(3) = (2)
3 u - 180 = 1 u + 180
3 u - 1 u = 180 + 180
2 u = 360
1 u = 360 ÷ 2 = 180
Total amount that Warren and Carl had
= 1 u + 1 u + 150
= 2 u + 150
= 2 x 180 + 150
= 360 + 150
= $510
Answer(s): $510
