Question

A businessperson bought a number of barrels of apples for 120$. He kept two barrels and sold the rest at a profit of 2$ per barrel making a total profit of 34$. How many barrels did he originally buy?
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Answer 1

Ответ:

19 barrels

Пошаговое объяснение:

To find the number of barrels the businessperson originally bought, we can set up an equation using the information given in the problem. Let's call the number of barrels he originally bought "x".

We know that he kept two barrels, so we can subtract two from the total number of barrels to find the number of barrels he sold:

x - 2 barrels = barrels sold

We also know that he made a profit of $34 from selling the barrels, and that he sold the barrels for $2 profit per barrel. We can use this information to find the number of barrels he sold:

(x - 2 barrels) * $2 profit/barrel = $34 profit

We can then solve for x by dividing both sides of the equation by $2 profit/barrel:

(x - 2 barrels) / ($2 profit/barrel) = $34 profit / $2 profit/barrel

Simplifying the right side of the equation, we get:

(x - 2 barrels) / ($2 profit/barrel) = 17 barrels

Finally, we can solve for x by adding 2 barrels to both sides of the equation:

x = 17 barrels + 2 barrels

x = 19 barrels

Therefore, the businessperson originally bought 19 barrels of apples.