14 of the number of geese that Farmer Zane had was equal to
57 of the number of geese that Farmer Henry had. When Farmer Zane sold 300 of his geese and Farmer Henry bought another 40, the ratio of the number of geese that Farmer Zane had to the number of geese Farmer Henry had become 6 : 5. What was the total number of geese that the 2 farmers had at first?
|
Make p the same (1) x 5 = (3) |
Farmer Zane (1) |
Farmer Henry (2) |
Make p the same (2) x 6 = (4) |
Before |
100 u |
20 u |
7 u |
42 u |
Change |
- 1500 |
- 300 |
+ 40 |
+ 240 |
After |
30 p |
6 p |
5 p |
30 p |
Make the numerators the same.
1x54x5 Farmer Zane's geese =
5x17x1 Farmer Henry's geese
520 Farmer Zane's geese =
57 Farmer Henry's geese
100 u - 1500 = 42 u + 240
100 u - 42 u = 240 + 1500
58 u = 1740
1 u = 1740 ÷ 58 = 30
Total number of geese that the 2 farmers had
= 20 u + 7 u
= 27 u
= 27 x 30
= 810
Answer(s): 810