12 of the number of geese that Farmer Jeremy had was equal to
34 of the number of geese that Farmer Liam had. When Farmer Jeremy sold 300 of his geese and Farmer Liam bought another 40, the ratio of the number of geese that Farmer Jeremy had to the number of geese Farmer Liam 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 Jeremy (1) |
Farmer Liam (2) |
Make p the same (2) x 6 = (4) |
Before |
30 u |
6 u |
4 u |
24 u |
Change |
- 1500 |
- 300 |
+ 40 |
+ 240 |
After |
30 p |
6 p |
5 p |
30 p |
Make the numerators the same.
1x32x3 Farmer Jeremy's geese =
3x14x1 Farmer Liam's geese
36 Farmer Jeremy's geese =
34 Farmer Liam's geese
30 u - 1500 = 24 u + 240
30 u - 24 u = 240 + 1500
6 u = 1740
1 u = 1740 ÷ 6 = 290
Total number of geese that the 2 farmers had
= 6 u + 4 u
= 10 u
= 10 x 290
= 2900
Answer(s): 2900