Question

Assuming that a cheese sandwich consists of 2 slices of bread and 3 slices of cheese, determine the number of whole cheese sandwiches that can be prepared from 28 slices of bread and 45 slices of cheese.

Answer 1

If we are to consider the number of slices of bread first,

      number of sandwiches = (28 slices of bread)(1 sandwich/ 2 slices of bread)
      number of sandwiches = 14 sandwiches

If we are to consider the number of slices of cheese
 
      number of sandwiches = (45 slices of cheese)(1 sandwich / 3 slices of cheese)
     number of sandwiches = 15 sandwiches

Since, 14 is smaller than 15 then, 14 is the answer.

Answer: 14 sandwiches

Answer 2

The number of whole cheese sandwiches is $\boxed{\bf 14}$.

Further explanation:

It is given that a cheese sandwich consists of $2$ slices of bread and $3$ slices of cheese.

Also, there are total $28$ slices of bread and $45$ slices of cheese.

Now, we first choose the number of slices of bread $(n)$ to make sandwiches by dividing $28$ by $2$ as follows:

$\begin{aligned}n&=\dfrac{28}{2}\\&=14\end{aligned}$  

This implies that $14$ sandwiches can be prepared with $28$ slices of bread such that each sandwich contains $2$ slices of bread.

Now, we choose the number of slices of cheese $(m)$ to make sandwiches by dividing $45$ by $3$ as follows:

$\begin{aligned}m&=\dfrac{45}{3}\\&=15\end{aligned}$  

This implies that $15$ sandwiches can be prepared with $45$ slices of cheese such that each sandwich contains $3$ slices of cheese.

Since, in each sandwich contains $2$ slices of bread and $3$ slices of cheese so, with $28$ slices of bread and $45$ slices of cheese only $14$ sandwich can be prepared.

Thus, total number of sandwiches which can be prepared are $\boxed{\bf 14}$.

Learn more

1. Problem on the whole numbers are positive integers brainly.com/question/1852063.

2. Problem on the adding and simplifying the numbers brainly.com/question/894273.

3. Problem on the general form of the equation of the circle brainly.com/question/1506955.

Answer details:

Grade: Junior school

Subject: Mathematics

Chapter: Multiplication and division  

Keywords: Multiplication, division, addition, subtraction, dividend, divisor, quotient, remainder, distributive property for multiplication, distributive property for division, associative property, commutative property, prime numbers, long division.