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.

Respuesta :

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

The number of whole cheese sandwiches is [tex]\boxed{\bf 14}[/tex].

Further explanation:

It is given that a cheese sandwich consists of [tex]2[/tex] slices of bread and [tex]3[/tex] slices of cheese.

Also, there are total [tex]28[/tex] slices of bread and [tex]45[/tex] slices of cheese.

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

[tex]\begin{aligned}n&=\dfrac{28}{2}\\&=14\end{aligned}[/tex]  

This implies that [tex]14[/tex] sandwiches can be prepared with [tex]28[/tex] slices of bread such that each sandwich contains [tex]2[/tex] slices of bread.

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

[tex]\begin{aligned}m&=\dfrac{45}{3}\\&=15\end{aligned}[/tex]  

This implies that [tex]15[/tex] sandwiches can be prepared with [tex]45[/tex] slices of cheese such that each sandwich contains [tex]3[/tex] slices of cheese.

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

Thus, total number of sandwiches which can be prepared are [tex]\boxed{\bf 14}[/tex].

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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.