A farmer bought a number of pigs for $200. However, 6 of them died before he could sell the rest at a profit of 5 per pig. His total profit was $47. How many pigs did he originally buy?

Respuesta :

Answer:

40 pigs

Step-by-step explanation:

6*5=30

200-30=170

170/5=34

34+6=40 pigs

to check your answer

40*5=200

Profit is the difference between the selling and the cost prices

The number of pigs he originally buys is 15.

Let the number of pigs be x.

When 6 pigs died, the remaining pigs are:

[tex]\mathbf{x - 6}[/tex]

The total profit is calculated as:

[tex]\mathbf{Profit = 5\times(x - 6)}[/tex]

[tex]\mathbf{Profit = 5x - 30}[/tex]

The total profit is 47.

So, we have:

[tex]\mathbf{5x - 30 = 47}[/tex]

Add 30 to both sides

[tex]\mathbf{5x = 77}[/tex]

Divide both sides by 5

[tex]\mathbf{x = 15.4}[/tex]

[tex]\mathbf{x = 15}[/tex] ---- approximated

Hence, the number of pigs he originally buys is 15.

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