Roberto ate 3 pieces of a pizza and them felt that he should pay 1/4 of the cost because that's the fraction he ate. How many pieces was the pizza cut into? Please could you explain me the problem and you give me the answer? thank you

Let x equal the total number of pieces.

1/4 = 3/x

Cross multiply.

x = 12

Doesn't 1/4 = 3/12?

To solve this problem, we need to understand the relationship between the number of pizza pieces Roberto ate and the fraction of the cost he should pay.

According to the problem, Roberto ate 3 pieces of the pizza. Let's assume the pizza was cut into 'x' equal-sized pieces. Since Roberto ate 3 pieces, we can conclude that he ate 3 out of 'x' pieces.

Now, Roberto believes that he should pay 1/4 of the cost because that's the fraction he ate. This means that the number of pieces he ate, which is 3, is equal to 1/4 of the total number of pieces.

To find the answer to the problem, we can set up an equation to represent this relationship:

3 = (1/4) * x

To solve this equation, we need to isolate the variable 'x', which represents the total number of pizza pieces. We can do this by multiplying both sides of the equation by 4:

3 * 4 = (1/4) * x * 4

12 = x

Therefore, the pizza was cut into 12 equal-sized pieces.

So, the answer is that the pizza was cut into 12 pieces.