1 cheese slice + 2 bread slices = 1 cheese sandwich

a. A cook has 12 slices of cheese and 20 slices of bread. How many cheese sandwiches can be made?
b. A cook has 38 slices of cheese and 4 loaves of bread with 18 slices per loaf, how many cheeses sandwiches can be made?
c. A super cook has 0.100 moles of cheese slices and 0.600 moles of bread slices. How many moles of cheese sandwiches can be made?
d. How many cheese sandwiches can be made from the starting materials in (c)?
e. Cheese slices have a mass of 12.5 grams each. If you have 5.00 kg of cheese slices, what is the maximum number of sandwiches that can be made?

a. To find out how many cheese sandwiches can be made with 12 slices of cheese and 20 slices of bread, we need to find the limiting factor. The limiting factor is the ingredient that runs out first, in this case, since we need 1 slice of cheese and 2 slices of bread to make 1 sandwich.

The number of sandwiches we can make will be limited by the ingredient with the fewest slices.

For the given scenario, we have 12 slices of cheese and 20 slices of bread. Since we need 2 slices of bread for each sandwich, we divide the total number of bread slices (20) by 2.

20 ÷ 2 = 10

Therefore, we can make a maximum of 10 cheese sandwiches.

b. In this scenario, we need to consider the number of cheese slices and the number of bread slices to determine the maximum number of cheese sandwiches that can be made.

Given that we have 38 slices of cheese and 4 loaves of bread with 18 slices per loaf, we need to calculate the total number of bread slices.

Number of bread slices = Number of loaves * Slices per loaf
Number of bread slices = 4 * 18 = 72

Now we can find the limiting factor by comparing the number of cheese slices and the number of bread slices. Since we need 1 slice of cheese and 2 slices of bread for each sandwich, we divide the total number of cheese slices (38) by 1 and the total number of bread slices (72) by 2.

Number of cheese sandwiches = Number of cheese slices ÷ 1
Number of cheese sandwiches = 38 ÷ 1 = 38

Number of cheese sandwiches = Number of bread slices ÷ 2
Number of cheese sandwiches = 72 ÷ 2 = 36

The limiting factor is the bread slices, as we can only make 36 cheese sandwiches in this scenario.

c. To calculate the maximum number of moles of cheese sandwiches that can be made, we need to consider the moles of cheese slices and the moles of bread slices.

Given that we have 0.100 moles of cheese slices and 0.600 moles of bread slices, we can calculate the number of moles of cheese sandwiches.

Number of moles of cheese sandwiches = minimum(Number of moles of cheese, Number of moles of bread/2)

Number of moles of cheese sandwiches = minimum(0.100, 0.600/2)
Number of moles of cheese sandwiches = minimum(0.100, 0.300)
Number of moles of cheese sandwiches = 0.100 moles

Therefore, we can make a maximum of 0.100 moles of cheese sandwiches.

d. Since we already calculated in the previous step that we can make a maximum of 0.100 moles of cheese sandwiches, that is the answer to this question.

e. To determine the maximum number of sandwiches that can be made from 5.00 kg of cheese slices, we need to know the mass of each cheese slice.

Given that each cheese slice has a mass of 12.5 grams, we can calculate the total number of cheese slices.

Total number of cheese slices = Total mass of cheese slices / Mass of each cheese slice

Total mass of cheese slices = 5.00 kg * 1000 g/kg = 5000 g

Total number of cheese slices = 5000 g / 12.5 g/slice = 400 slices

Now, we can calculate the maximum number of cheese sandwiches by dividing the total number of cheese slices by 1 (since we need 1 slice of cheese for each sandwich).

Number of cheese sandwiches = Total number of cheese slices ÷ 1
Number of cheese sandwiches = 400 ÷ 1 = 400

Therefore, the maximum number of cheese sandwiches that can be made from 5.00 kg of cheese slices is 400.