13 of the number of geese that Farmer Simon had was equal to
34 of the number of geese that Farmer Ken had. When Farmer Simon sold 300 of his geese and Farmer Ken bought another 40, the ratio of the number of geese that Farmer Simon 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 Simon (1) |
Farmer Ken (2) |
Make p the same (2) x 7 = (4) |
Before |
54 u |
9 u |
4 u |
28 u |
Change |
- 1800 |
- 300 |
+ 40 |
+ 280 |
After |
42 p |
7 p |
6 p |
42 p |
Make the numerators the same.
1x33x3 Farmer Simon's geese =
3x14x1 Farmer Ken's geese
39 Farmer Simon's geese =
34 Farmer Ken's geese
54 u - 1800 = 28 u + 280
54 u - 28 u = 280 + 1800
26 u = 2080
1 u = 2080 ÷ 26 = 80
Total number of geese that the 2 farmers had
= 9 u + 4 u
= 13 u
= 13 x 80
= 1040
Answer(s): 1040