a farmer bought a number of pigs for $180. however, 4 of them died before he could sell them before he could sell the rest for a profit of 8 per pig. his total profit was $92. how many pigs did he

Question

a farmer bought a number of pigs for $180. however, 4 of them died before he could sell them before he could sell the rest for a profit of 8 per pig. his total profit was $92. how many pigs did he originally buy?

Answer 1

To solve this problem you will need to set up two equations with two variables. The first equation is for calculating how much was spent to buy the pigs, and the second is the equation to calculate amount he sold the pigs for. Let p represent the number of pigs and c represent the cost of each pigs. Therefore the two equations would look like:

(p)(c)=126

(p-5)(c+10) = 126+130

The 126 + 130 equates to the the total of the sale since the profit is the total sale minus amount spent. I hope this helps and puts you in the right direction.

Answer 2

If profit of 8 per pig

is true then the number of pigs is a fraction!

p represents the number of pigs bought

p - 4 represents the number of pigs sold

8(p - 4) represents the profit from the sale

8(p - 4) = 92

p - 4 = 11.5

p = 15.5

If he sold each pig for $8 then

180 - 8(p - 4) = 92

-8(p - 4) = -88

p - 4 = 11

p = 15

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