Luis had $180 less than Cole. If Cole spends $150 and Luis's mother gave Luis $510, Cole will have
14 as much money as Luis. How much money did Luis and Cole have?
| |
Make p the same
(1)x4 = (3) |
Luis
(1) |
Cole
(2) |
| Before |
4 u |
1 u |
1 u + 180 |
| Change |
- 600 |
- 150 |
+ 510 |
| After |
4 p |
1 p |
4 p |
Since Luis had $180 less than Cole, this means Cole had $180 more than Luis.
1 u - 150 = 1 p --- (1)
1 u + 180 + 510 = 4 p
1 u + 690 =
4 p --- (2)
Make p the same.
(1)
x4
4 u - 600 =
4 p --- (3)
(3) = (2)
4 u - 600 = 1 u + 690
4 u - 1 u = 690 + 600
3 u = 1290
1 u = 1290 ÷ 3 = 430
Total amount that Luis and Cole had
= 1 u + 1 u + 180
= 2 u + 180
= 2 x 430 + 180
= 860 + 180
= $1040
Answer(s): $1040
