Question

A sandwich shop has 4 different types of sandwiches: ham (H), turkey (T),

chicken (C), or PB&J (P). And each sandwich can be ordered with white bread (w),
multi-grain bread (M), or rye bread (R).

Answer 1

To prepare multiple ham sandwiches, multiply each ingredient by the number of sandwiches desired using the equation 2H + C + T + 5P + 2B → H₂CTP₅B₂. With 28 slices of bread and 11 slices of cheese, you can make 11 sandwiches using stoichiometry, leaving 6 slices of bread. For 8 slices of ham, 20 pickles are needed to make 4 sandwiches.

Step-by-step explanation:

Calculation for Ham Sandwich Ingredients

To calculate the amount of each ingredient needed to make multiple ham sandwiches, we use stoichiometry, a method often used in chemistry that can also apply to cooking and recipes. Since one sandwich requires 2 slices of ham (H), 1 slice of cheese (C), 1 slice of tomato (T), 5 pickles (P), and 2 slices of bread (B), this can be represented by the equation 2H + C + T + 5P + 2B → H₂CTP₅B₂. To make 5 sandwiches, you simply multiply each ingredient by 5, resulting in 10 slices of ham and 5 slices of cheese needed.

When looking at the resources available, if you have 28 slices of bread and 11 slices of cheese, you can only make 11 sandwiches since the cheese is the limiting factor. Thus, you would end up with 22 slices of bread used (2 per sandwich) and 6 slices of bread left over.

In the example provided (Example 12.1.1), with 8 slices of ham available, you would need 20 pickles in total to make 4 sandwiches, as 5 pickles are needed per sandwich. Therefore, stoichiometry in cooking not only helps in understanding the proportions but also assists in managing resources effectively.