13 of the number of geese that Farmer Jenson had was equal to
57 of the number of geese that Farmer Zeph had. When Farmer Jenson sold 300 of his geese and Farmer Zeph bought another 40, the ratio of the number of geese that Farmer Jenson had to the number of geese Farmer Zeph had become 5 : 3. What was the total number of geese that the 2 farmers had at first?
|
Make p the same (1) x 3 = (3) |
Farmer Jenson (1) |
Farmer Zeph (2) |
Make p the same (2) x 5 = (4) |
Before |
45 u |
15 u |
7 u |
35 u |
Change |
- 900 |
- 300 |
+ 40 |
+ 200 |
After |
15 p |
5 p |
3 p |
15 p |
Make the numerators the same.
1x53x5 Farmer Jenson's geese =
5x17x1 Farmer Zeph's geese
515 Farmer Jenson's geese =
57 Farmer Zeph's geese
45 u - 900 = 35 u + 200
45 u - 35 u = 200 + 900
10 u = 1100
1 u = 1100 ÷ 10 = 110
Total number of geese that the 2 farmers had
= 15 u + 7 u
= 22 u
= 22 x 110
= 2420
Answer(s): 2420