George had $130 less than Luis. If Luis spends $120 and George's mother gave George $1050, Luis will have
16 as much money as George. How much money did George and Luis have?
| |
Make p the same
(1)x6 = (3) |
George
(1) |
Luis
(2) |
| Before |
6 u |
1 u |
1 u + 130 |
| Change |
- 720 |
- 120 |
+ 1050 |
| After |
6 p |
1 p |
6 p |
Since George had $130 less than Luis, this means Luis had $130 more than George.
1 u - 120 = 1 p --- (1)
1 u + 130 + 1050 = 6 p
1 u + 1180 =
6 p --- (2)
Make p the same.
(1)
x6
6 u - 720 =
6 p --- (3)
(3) = (2)
6 u - 720 = 1 u + 1180
6 u - 1 u = 1180 + 720
5 u = 1900
1 u = 1900 ÷ 5 = 380
Total amount that George and Luis had
= 1 u + 1 u + 130
= 2 u + 130
= 2 x 380 + 130
= 760 + 130
= $890
Answer(s): $890
