Cody had $120 less than Gabriel. If Gabriel spends $70 and Cody's mother gave Cody $890, Gabriel will have
15 as much money as Cody. How much money did Cody and Gabriel have?
| |
Make p the same
(1)x5 = (3) |
Cody
(1) |
Gabriel
(2) |
| Before |
5 u |
1 u |
1 u + 120 |
| Change |
- 350 |
- 70 |
+ 890 |
| After |
5 p |
1 p |
5 p |
Since Cody had $120 less than Gabriel, this means Gabriel had $120 more than Cody.
1 u - 70 = 1 p --- (1)
1 u + 120 + 890 = 5 p
1 u + 1010 =
5 p --- (2)
Make p the same.
(1)
x5
5 u - 350 =
5 p --- (3)
(3) = (2)
5 u - 350 = 1 u + 1010
5 u - 1 u = 1010 + 350
4 u = 1360
1 u = 1360 ÷ 4 = 340
Total amount that Cody and Gabriel had
= 1 u + 1 u + 120
= 2 u + 120
= 2 x 340 + 120
= 680 + 120
= $800
Answer(s): $800
