12 of the number of geese that Farmer Carl had was equal to
34 of the number of geese that Farmer Caden had. When Farmer Carl sold 300 of his geese and Farmer Caden bought another 40, the ratio of the number of geese that Farmer Carl had to the number of geese Farmer Caden had become 1 : 2. What was the total number of geese that the 2 farmers had at first?
|
Make p the same (1) x 2 = (3) |
Farmer Carl (1) |
Farmer Caden (2) |
Make p the same (2) x 1 = (4) |
Before |
12 u |
6 u |
4 u |
4 u |
Change |
- 600 |
- 300 |
+ 40 |
+ 40 |
After |
2 p |
1 p |
2 p |
2 p |
Make the numerators the same.
1x32x3 Farmer Carl's geese =
3x14x1 Farmer Caden's geese
36 Farmer Carl's geese =
34 Farmer Caden's geese
12 u - 600 = 4 u + 40
12 u - 4 u = 40 + 600
8 u = 640
1 u = 640 ÷ 8 = 80
Total number of geese that the 2 farmers had
= 6 u + 4 u
= 10 u
= 10 x 80
= 800
Answer(s): 800