14 of the number of geese that Farmer Mark had was equal to
34 of the number of geese that Farmer Jenson had. When Farmer Mark sold 300 of his geese and Farmer Jenson bought another 40, the ratio of the number of geese that Farmer Mark had to the number of geese Farmer Jenson had become 7 : 4. What was the total number of geese that the 2 farmers had at first?
|
Make p the same (1) x 4 = (3) |
Farmer Mark (1) |
Farmer Jenson (2) |
Make p the same (2) x 7 = (4) |
Before |
48 u |
12 u |
4 u |
28 u |
Change |
- 1200 |
- 300 |
+ 40 |
+ 280 |
After |
28 p |
7 p |
4 p |
28 p |
Make the numerators the same.
1x34x3 Farmer Mark's geese =
3x14x1 Farmer Jenson's geese
312 Farmer Mark's geese =
34 Farmer Jenson's geese
48 u - 1200 = 28 u + 280
48 u - 28 u = 280 + 1200
20 u = 1480
1 u = 1480 ÷ 20 = 74
Total number of geese that the 2 farmers had
= 12 u + 4 u
= 16 u
= 16 x 74
= 1184
Answer(s): 1184