14 of the number of geese that Farmer Howard had was equal to
25 of the number of geese that Farmer Nick had. When Farmer Howard sold 300 of his geese and Farmer Nick bought another 40, the ratio of the number of geese that Farmer Howard had to the number of geese Farmer Nick 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 Howard (1) |
Farmer Nick (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 Howard's geese =
2x15x1 Farmer Nick's geese
28 Farmer Howard's geese =
25 Farmer Nick'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