14 of the number of goats that Farmer Justin had was equal to
34 of the number of goats that Farmer Cole had. When Farmer Justin sold 300 of his goats and Farmer Cole bought another 40, the ratio of the number of goats that Farmer Justin had to the number of goats Farmer Cole had become 8 : 3. What was the total number of goats that the 2 farmers had at first?
|
Make p the same (1) x 3 = (3) |
Farmer Justin (1) |
Farmer Cole (2) |
Make p the same (2) x 8 = (4) |
Before |
36 u |
12 u |
4 u |
32 u |
Change |
- 900 |
- 300 |
+ 40 |
+ 320 |
After |
24 p |
8 p |
3 p |
24 p |
Make the numerators the same.
1x34x3 Farmer Justin's goats =
3x14x1 Farmer Cole's goats
312 Farmer Justin's goats =
34 Farmer Cole's goats
36 u - 900 = 32 u + 320
36 u - 32 u = 320 + 900
4 u = 1220
1 u = 1220 ÷ 4 = 305
Total number of goats that the 2 farmers had
= 12 u + 4 u
= 16 u
= 16 x 305
= 4880
Answer(s): 4880