At a restaurant, single-serving pizzas require 1/3 pound of dough for each pizza made. The restaurant makes pizza dough in 8 2/3 pound batches. How many single-serving pizzas can be made from one batch of dough?
Twenty-six single-serving pizzas can be made from one batch of dough.
To determine how many single-serving pizzas can be made from an 8 2/3 pound batch of dough, we divide the total weight of the dough by the weight needed for each pizza. Converting 8 2/3 to an improper fraction gives us 26/3 pounds. Dividing by 1/3 (the amount of dough per pizza) results in 26 pizzas.
Choosing 9 suggests a misunderstanding of the division required for this problem. If we assume each pizza requires 1/3 pound, then 9 pizzas would only use 9/3 or 3 pounds of dough, which is significantly less than the available 8 2/3 pounds.
Selecting 20 indicates an incorrect calculation of how many pizzas can be made. Twenty pizzas would require 20/3 pounds of dough, which equals approximately 6.67 pounds—still less than the total dough available. This option underestimates the amount of dough that can be utilized.
Choosing 52 is a clear overestimation. Making 52 pizzas would require 52/3 pounds of dough, equating to approximately 17.33 pounds, which exceeds the available 8 2/3 pounds. This option miscalculates the capacity of the dough batch.
To find the number of single-serving pizzas that can be produced from an 8 2/3 pound batch of dough, we correctly calculate the total dough available and the dough required per pizza. The division shows that 26 pizzas can be made, making option C the only feasible answer. Understanding these calculations is crucial for operational efficiency in a restaurant setting.
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