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 32 slices of bread and 51 slices of cheese. What quantity of the ingredient in excess remains? quantity of excess ingredient remaining:

Answer 1

To determine the number of whole cheese sandwiches that can be prepared from the given ingredients and the quantity of excess ingredient remaining, we can use the following calculations:

1. Calculate the maximum number of sandwiches based on the bread slices:
Number of sandwiches based on bread = Total bread slices / Slices per sandwich
Number of sandwiches based on bread = 32 slices / 2 slices per sandwich
Number of sandwiches based on bread = 16 sandwiches

2. Calculate the maximum number of sandwiches based on the cheese slices:
Number of sandwiches based on cheese = Total cheese slices / Slices per sandwich
Number of sandwiches based on cheese = 51 slices / 3 slices per sandwich
Number of sandwiches based on cheese = 17 sandwiches

3. Determine the limiting factor (the ingredient that allows making fewer sandwiches). In this case, it's the cheese because it limits us to 17 sandwiches.

4. Calculate the excess ingredient remaining for the limiting factor:
Excess cheese slices = Total cheese slices - (Number of sandwiches based on cheese * Slices per sandwich)
Excess cheese slices = 51 slices - (17 sandwiches * 3 slices per sandwich)
Excess cheese slices = 51 slices - 51 slices
Excess cheese slices = 0 slices

So, you can prepare a maximum of 17 whole cheese sandwiches using the given ingredients, and there are no excess cheese slices remaining because you used them all.