Question

A market woman buys n eggs at the rate of twelve eggs for sixty naira. Eight of the eggs were brokensi she sold the remaining at the rate of four eggs for twenty four naira and made a profit of twelve naira. How many eggs did she buy?

Answer 1

Let's assume the market woman bought x eggs.
According to the information given, she bought the eggs at a rate of 12 eggs for 60 naira. Therefore, the cost of x eggs is (60/12) * x = 5x naira.
Out of the x eggs, 8 eggs were broken. Therefore, she sold (x - 8) eggs.
She sold 4 eggs for 24 naira. Therefore, she sold (24/4) * (x - 8) = 6 * (x - 8) eggs for 5x + 12 naira.
From the above information, we can create an equation: 6(x - 8) = 5x + 12
Expanding the equation gives 6x - 48 = 5x + 12
Subtracting 5x from both sides of the equation gives x - 48 = 12
Adding 48 to both sides of the equation gives x = 60
Therefore, the market woman bought 60 eggs. Answer: \boxed{60}.