Cody had $100 less than Fabian. If Fabian spends $60 and Cody's mother gave Cody $320, Fabian will have
13 as much money as Cody. How much money did Cody and Fabian have?
| |
Make p the same
(1)x3 = (3) |
Cody
(1) |
Fabian
(2) |
| Before |
3 u |
1 u |
1 u + 100 |
| Change |
- 180 |
- 60 |
+ 320 |
| After |
3 p |
1 p |
3 p |
Since Cody had $100 less than Fabian, this means Fabian had $100 more than Cody.
1 u - 60 = 1 p --- (1)
1 u + 100 + 320 = 3 p
1 u + 420 =
3 p --- (2)
Make p the same.
(1)
x3
3 u - 180 =
3 p --- (3)
(3) = (2)
3 u - 180 = 1 u + 420
3 u - 1 u = 420 + 180
2 u = 600
1 u = 600 ÷ 2 = 300
Total amount that Cody and Fabian had
= 1 u + 1 u + 100
= 2 u + 100
= 2 x 300 + 100
= 600 + 100
= $700
Answer(s): $700
