Question

Central subs made 27 sandwiches using 12 pounds of turkey. How much turkey was used per sandwich?

Answer 1

Hint: Using the given information about making 27 sandwiches using 12 pounds of turkey, apply the unitary method to find the weight of turkey used for making 1 sandwich. To do this, divide the weight of turkey required for 27 sandwiches, i.e., 12 pounds by 27. Simplify it to get the answer.

Complete step by step answer:
Here, we have been provided with the information that 27 sandwiches are made using 12 pounds of turkey. We have been asked to find the weight of turkey that was used per sandwich.
Now, we have,
\[\Rightarrow \] Weight of turkey used to make 27 sandwiches = 12 pounds
So, applying the unitary method and dividing both sides with 27, we get,
\[\Rightarrow \] Weight of turkey used to make 1 sandwich = \[\dfrac{12}{27}\] pounds
Cancelling the common factors, we get,
\[\Rightarrow \] Weight of turkey used to make 1 sandwich = \[\dfrac{4}{9}\] pounds
Hence, \[\dfrac{4}{9}\] pounds of turkey was used to make 1 sandwich.

Note:
One may note that we have applied the basic unitary method to solve the question is from the topic ‘ratio and proportion’. There can be another method also to solve the question. What we can do is we will assume the weight of turkey required to make 1 sandwich as ‘x’ pounds. Now, we will write the given information in proportion form as: - 27 sandwiches : 12 pounds : : 1 sandwich : x pounds, which is equal to the expression: - \[\dfrac{27}{12}=\dfrac{1}{x}\]. Hence, by cross – multiplication we will simplify the expression and get the value of x.