A ham sandwich consists of one slice of ham (9 grams) and two slices of bread (25 grams each). You have 1 kg of ham and 1.2 kg of bread. You make as many sandwiches as you can. How many sandwiches did you make?


1) How many sandwiches?

2) What is the mass of the sandwiches? g

3) What is left over?
ham or
bread

4) What is the mass of the ingredient that is left over? g

See previous post: Sat, 10-29-16, 2:04 PM.

To determine the number of sandwiches you can make, you'll need to calculate how many sandwiches can be made with the available ingredients individually (ham and bread) and then choose the smaller of the two quantities.

1) To find the number of sandwiches made:
- Calculate the number of sandwiches that can be made with ham: Divide the total mass of ham (1 kg or 1000 grams) by the mass of ham in each sandwich (9 grams). This will give you the maximum number of sandwiches that can be made with the available ham.
- Calculate the number of sandwiches that can be made with bread: Divide the total mass of bread (1.2 kg or 1200 grams) by the mass of bread in each sandwich (25 grams). This will give you the maximum number of sandwiches that can be made with the available bread.
- The smaller of the two calculations will give you the maximum number of sandwiches that can be made, as that ingredient will run out first.

2) To find the mass of the sandwiches:
- Multiply the number of sandwiches by the combined mass of bread and ham in each sandwich (59 grams: 9 grams of ham + 2 slices of bread at 25 grams each).

3) To determine what is left over:
- Check which ingredient (ham or bread) runs out first. Whichever ingredient is used in fewer sandwiches will be the one that is left over.

4) To find the mass of the ingredient that is left over:
- If ham runs out first, subtract the mass of ham used in the sandwiches (number of sandwiches multiplied by 9 grams) from the total mass of ham.
- If bread runs out first, subtract the mass of bread used in the sandwiches (number of sandwiches multiplied by 50 grams) from the total mass of bread.

By following these steps, you can find the answers to your questions.