15 of the number of sheep that Farmer Bobby had was equal to
25 of the number of sheep that Farmer Zeph had. When Farmer Bobby sold 300 of his sheep and Farmer Zeph bought another 40, the ratio of the number of sheep that Farmer Bobby had to the number of sheep Farmer Zeph had become 5 : 3. What was the total number of sheep that the 2 farmers had at first?
|
Make p the same (1) x 3 = (3) |
Farmer Bobby (1) |
Farmer Zeph (2) |
Make p the same (2) x 5 = (4) |
Before |
30 u |
10 u |
5 u |
25 u |
Change |
- 900 |
- 300 |
+ 40 |
+ 200 |
After |
15 p |
5 p |
3 p |
15 p |
Make the numerators the same.
1x25x2 Farmer Bobby's sheep =
2x15x1 Farmer Zeph's sheep
210 Farmer Bobby's sheep =
25 Farmer Zeph's sheep
30 u - 900 = 25 u + 200
30 u - 25 u = 200 + 900
5 u = 1100
1 u = 1100 ÷ 5 = 220
Total number of sheep that the 2 farmers had
= 10 u + 5 u
= 15 u
= 15 x 220
= 3300
Answer(s): 3300