Charlie had $140 less than Warren. If Warren spends $200 and Charlie's mother gave Charlie $160, Warren will have
16 as much money as Charlie. How much money did Charlie and Warren have?
| |
Make p the same
(1)x6 = (3) |
Charlie
(1) |
Warren
(2) |
| Before |
6 u |
1 u |
1 u + 140 |
| Change |
- 1200 |
- 200 |
+ 160 |
| After |
6 p |
1 p |
6 p |
Since Charlie had $140 less than Warren, this means Warren had $140 more than Charlie.
1 u - 200 = 1 p --- (1)
1 u + 140 + 160 = 6 p
1 u + 300 =
6 p --- (2)
Make p the same.
(1)
x6
6 u - 1200 =
6 p --- (3)
(3) = (2)
6 u - 1200 = 1 u + 300
6 u - 1 u = 300 + 1200
5 u = 1500
1 u = 1500 ÷ 5 = 300
Total amount that Charlie and Warren had
= 1 u + 1 u + 140
= 2 u + 140
= 2 x 300 + 140
= 600 + 140
= $740
Answer(s): $740
