Question

A cook went to a market to buy some eggs and paid $12. But since the eggs were quite small, he talked the seller into adding two more eggs, free of charge. As the two eggs were added, the price per dozen went down by a dollar. How many eggs did the cook bring home from the market?

Answer 1

Answer:

18

Explanation:

Let the cook x eggs in $12

Then the price per egg will be $\frac{12}{x}$ and the price per dozen will be $\frac{12}{x}\times 12=\frac{144}{x}$

Now as the eggs are small the seller give him two extra egg

So the number of eggs =x+2

Then the price of per egg will be $\frac{12}{x+2}$ and the price per dozen will be $\frac{12}{x+2}\times 12=\frac{144}{x+2}$

Now according to question

$\frac{144}{x}-\frac{144}{x+2}=1$

Now if we put x=16 in the equation then it will satisfy the equation

So the total number of eggs that the cook bring =16+2=18