the kennedy middle school cafeteria charges students $3 for \\frac{1}{6} of a pizza. what is the cost per…

the kennedy middle school cafeteria charges students $3 for \\frac{1}{6} of a pizza. what is the cost per pizza? simplify your answer and write it as a proper fraction, mixed number, or whole number. $

the kennedy middle school cafeteria charges students $3 for \\frac{1}{6} of a pizza. what is the cost per pizza? simplify your answer and write it as a proper fraction, mixed number, or whole number. $

Answer

Explanation:

Step1: Set up the proportion

Let ( x ) be the cost per pizza. We know that (\frac{1}{6}) of a pizza costs ( 3) dollars. So, (\frac{1}{6}\text{ pizza}:3\text{ dollars}=1\text{ pizza}:x\text{ dollars}). Using the formula (\text{Cost per unit}=\frac{\text{Total cost}}{\text{Number of units}}), we can write the equation (x = 3\div\frac{1}{6}).

Step2: Divide by a fraction

Dividing by a fraction is the same as multiplying by its reciprocal. So, (x = 3\times\frac{6}{1}).

Step3: Calculate the result

(3\times6 = 18).

Answer:

(18)