Question

The concept of determining which reactant is limiting and which is in excess is akin to determining the number of sandwiches that can be made from a set number of ingredients. 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 44 slices of bread and 69 slices of cheese. number of sandwiches: 22 Which of the two ingredients limits the number of sandwiches that can be made

Answer 1

SLICE OF BREAD

Explanation:

If a cheese sandwich consists of 2 slices of bread and 3 slices of cheese, in order to determine the number of whole cheese sandwiches that can be prepared from 44 slices of bread and 69 slices of cheese, we will use the equality postulate as shown;

1 cheese sandwich = 2 slices of bread

x cheese sandwiches = 44 slices of bread

cross multiply

2 * x = 1 * 44

2x = 44

divide both sides by 2

2x/2 = 44/2

x = 22

Similarly;

1 cheese sandwich = 3 slices of cheese

y cheese sandwiches = 69 slices of cheese

cross multiply

3 * y = 1 * 69

3y = 69

divide both sides by 3

3y/3 = 69/3

3y = 23

Since both values of x and y are greater than or equal to 22 hence 22 sandwiches can be prepared from 44 slices of bread and 69 slices of cheese.

Since the amount of cheese sandwiches made from slices of bread (22) is not up to that made from slices of cheese (i.e 23), hence the ingredient that limits the number of sandwiches that can be made is the slice of bread