14 of the number of geese that Farmer Will had was equal to
25 of the number of geese that Farmer Ken had. When Farmer Will sold 300 of his geese and Farmer Ken bought another 40, the ratio of the number of geese that Farmer Will had to the number of geese Farmer Ken had become 7 : 6. What was the total number of geese that the 2 farmers had at first?
|
Make p the same (1) x 6 = (3) |
Farmer Will (1) |
Farmer Ken (2) |
Make p the same (2) x 7 = (4) |
Before |
48 u |
8 u |
5 u |
35 u |
Change |
- 1800 |
- 300 |
+ 40 |
+ 280 |
After |
42 p |
7 p |
6 p |
42 p |
Make the numerators the same.
1x24x2 Farmer Will's geese =
2x15x1 Farmer Ken's geese
28 Farmer Will's geese =
25 Farmer Ken's geese
48 u - 1800 = 35 u + 280
48 u - 35 u = 280 + 1800
13 u = 2080
1 u = 2080 ÷ 13 = 160
Total number of geese that the 2 farmers had
= 8 u + 5 u
= 13 u
= 13 x 160
= 2080
Answer(s): 2080