15 of the number of goats that Farmer Ken had was equal to
25 of the number of goats that Farmer Billy had. When Farmer Ken sold 300 of his goats and Farmer Billy bought another 40, the ratio of the number of goats that Farmer Ken had to the number of goats Farmer Billy had become 4 : 3. What was the total number of goats that the 2 farmers had at first?
|
Make p the same (1) x 3 = (3) |
Farmer Ken (1) |
Farmer Billy (2) |
Make p the same (2) x 4 = (4) |
Before |
30 u |
10 u |
5 u |
20 u |
Change |
- 900 |
- 300 |
+ 40 |
+ 160 |
After |
12 p |
4 p |
3 p |
12 p |
Make the numerators the same.
1x25x2 Farmer Ken's goats =
2x15x1 Farmer Billy's goats
210 Farmer Ken's goats =
25 Farmer Billy's goats
30 u - 900 = 20 u + 160
30 u - 20 u = 160 + 900
10 u = 1060
1 u = 1060 ÷ 10 = 106
Total number of goats that the 2 farmers had
= 10 u + 5 u
= 15 u
= 15 x 106
= 1590
Answer(s): 1590