15 of the number of goats that Farmer Howard had was equal to
35 of the number of goats that Farmer Nick had. When Farmer Howard sold 300 of his goats and Farmer Nick bought another 40, the ratio of the number of goats that Farmer Howard had to the number of goats Farmer Nick had become 3 : 5. What was the total number of goats that the 2 farmers had at first?
|
Make p the same (1) x 5 = (3) |
Farmer Howard (1) |
Farmer Nick (2) |
Make p the same (2) x 3 = (4) |
Before |
75 u |
15 u |
5 u |
15 u |
Change |
- 1500 |
- 300 |
+ 40 |
+ 120 |
After |
15 p |
3 p |
5 p |
15 p |
Make the numerators the same.
1x35x3 Farmer Howard's goats =
3x15x1 Farmer Nick's goats
315 Farmer Howard's goats =
35 Farmer Nick's goats
75 u - 1500 = 15 u + 120
75 u - 15 u = 120 + 1500
60 u = 1620
1 u = 1620 ÷ 60 = 27
Total number of goats that the 2 farmers had
= 15 u + 5 u
= 20 u
= 20 x 27
= 540
Answer(s): 540