12 of the number of geese that Farmer Asher had was equal to
34 of the number of geese that Farmer Ivan had. When Farmer Asher sold 300 of his geese and Farmer Ivan bought another 40, the ratio of the number of geese that Farmer Asher had to the number of geese Farmer Ivan had become 3 : 4. What was the total number of geese that the 2 farmers had at first?
|
Make p the same (1) x 4 = (3) |
Farmer Asher (1) |
Farmer Ivan (2) |
Make p the same (2) x 3 = (4) |
Before |
24 u |
6 u |
4 u |
12 u |
Change |
- 1200 |
- 300 |
+ 40 |
+ 120 |
After |
12 p |
3 p |
4 p |
12 p |
Make the numerators the same.
1x32x3 Farmer Asher's geese =
3x14x1 Farmer Ivan's geese
36 Farmer Asher's geese =
34 Farmer Ivan's geese
24 u - 1200 = 12 u + 120
24 u - 12 u = 120 + 1200
12 u = 1320
1 u = 1320 ÷ 12 = 110
Total number of geese that the 2 farmers had
= 6 u + 4 u
= 10 u
= 10 x 110
= 1100
Answer(s): 1100