15 of the number of goats that Farmer Ryan had was equal to
67 of the number of goats that Farmer Neave had. When Farmer Ryan sold 300 of his goats and Farmer Neave bought another 40, the ratio of the number of goats that Farmer Ryan had to the number of goats Farmer Neave had become 7 : 2. What was the total number of goats that the 2 farmers had at first?
|
Make p the same (1) x 2 = (3) |
Farmer Ryan (1) |
Farmer Neave (2) |
Make p the same (2) x 7 = (4) |
Before |
60 u |
30 u |
7 u |
49 u |
Change |
- 600 |
- 300 |
+ 40 |
+ 280 |
After |
14 p |
7 p |
2 p |
14 p |
Make the numerators the same.
1x65x6 Farmer Ryan's goats =
6x17x1 Farmer Neave's goats
630 Farmer Ryan's goats =
67 Farmer Neave's goats
60 u - 600 = 49 u + 280
60 u - 49 u = 280 + 600
11 u = 880
1 u = 880 ÷ 11 = 80
Total number of goats that the 2 farmers had
= 30 u + 7 u
= 37 u
= 37 x 80
= 2960
Answer(s): 2960