Cody had $190 less than Lee. If Lee spends $50 and Cody's mother gave Cody $90, Lee will have
14 as much money as Cody. How much money did Cody and Lee have?
| |
Make p the same
(1)x4 = (3) |
Cody
(1) |
Lee
(2) |
| Before |
4 u |
1 u |
1 u + 190 |
| Change |
- 200 |
- 50 |
+ 90 |
| After |
4 p |
1 p |
4 p |
Since Cody had $190 less than Lee, this means Lee had $190 more than Cody.
1 u - 50 = 1 p --- (1)
1 u + 190 + 90 = 4 p
1 u + 280 =
4 p --- (2)
Make p the same.
(1)
x4
4 u - 200 =
4 p --- (3)
(3) = (2)
4 u - 200 = 1 u + 280
4 u - 1 u = 280 + 200
3 u = 480
1 u = 480 ÷ 3 = 160
Total amount that Cody and Lee had
= 1 u + 1 u + 190
= 2 u + 190
= 2 x 160 + 190
= 320 + 190
= $510
Answer(s): $510
