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 52 slices of bread and 75 slices of cheese

Answer 1

25 sandwiches whole cheese sandwiches that can be prepared from 52 slices of bread and 75 slices of cheese

Explanation:

No. of sandwiches can be made using 2 slices of bread = 1

No. of sandwiches can be made using 1 slices of bread =
`(1)/(2)`

No. of sandwiches can be made using 52 slices of bread =
`(1)/(2) * 52`

=
`26`

No. of sandwiches can be made using 3 slices of cheese = 1

No. of sandwiches can be made using 1 slices of cheese =
`(1)/(3)`

No. of sandwiches can be made using 75 slices of cheese =
`(1)/(3) * 75`

=
`25`

Minimum of 26 and 25 is 25

So, 25 sandwiches whole cheese sandwiches that can be prepared from 52 slices of bread and 75 slices of cheese

Answer 2

The number of sandwiches that can be prepared is

... min(52/2, 75/3) = min(26, 25) = 25

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`\frac{1\,\text{sandwich}}{2\,\text{bread slices}}*(52\,\text{bread slices})=(52)/(2)\,\text{sandwich}\\\\=26\,\text{sandwich}\\\\\\\text{Likewise}\\\frac{1\,\text{sandwich}}{3\,\text{cheese slices}}*(75\,\text{cheese slices})=(75)/(3)\,\text{sandwich}\\\\=25\,\text{sandwich}`