Answer:
He bought approximately 16 pigs.
Step-by-step explanation:
In order to find how many pigs the farmer had originally all you have to do is add three to amount of pigs he sold, since three of the died. In order to find how many he sold all you need to do is divide 109 by 8, since he made a profit of $8 per pig. 109 / 8 = 13.625, 13.625 + 3 = 16.625
The profit made is the difference between the cost price and the selling price of the pigs.
The original number of pigs is 17
Let the number of pigs be x.
When three died, the remaining number of pigs is x - 3
On a pig, the profit is $8.
And he made a total profit of $109
So, we have:
[tex]\mathbf{8 \times (x - 3) = 109}[/tex]
Divide both sides by 8
[tex]\mathbf{x - 3 = 13.6}[/tex]
Add 3 to both sides
[tex]\mathbf{x = 16.6}[/tex]
Approximate
[tex]\mathbf{x = 17}[/tex]
Hence, the number of pigs is 17
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