14 of the number of geese that Farmer Luis had was equal to
57 of the number of geese that Farmer Japheth had. When Farmer Luis sold 300 of his geese and Farmer Japheth bought another 40, the ratio of the number of geese that Farmer Luis had to the number of geese Farmer Japheth 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 Luis (1) |
Farmer Japheth (2) |
Make p the same (2) x 5 = (4) |
Before |
60 u |
20 u |
7 u |
35 u |
Change |
- 900 |
- 300 |
+ 40 |
+ 200 |
After |
15 p |
5 p |
3 p |
15 p |
Make the numerators the same.
1x54x5 Farmer Luis's geese =
5x17x1 Farmer Japheth's geese
520 Farmer Luis's geese =
57 Farmer Japheth's geese
60 u - 900 = 35 u + 200
60 u - 35 u = 200 + 900
25 u = 1100
1 u = 1100 ÷ 25 = 44
Total number of geese that the 2 farmers had
= 20 u + 7 u
= 27 u
= 27 x 44
= 1188
Answer(s): 1188