Question

The cafeteria sold 6 more turkey sandwiches than ham sandwiches. They sold 16 sandwiches in all. How many ham sandwiches did the cafeteria sell?

Answer 1

5

Explanation:

11 and 5 have a 6 number gap between them 5 plus 11 gets you 16

Answer 2

5 ham sandwiches

Explanation:

To find the number of ham sandwiches sold, we should find the pair of numbers that have a difference of 6 and add to 16.

• 1 ham sandwich, 7 turkey sandwiches = 8 sandwiches
• 2 ham sandwiches, 8 turkey sandwiches = 10 sandwiches
• 3 ham sandwiches, 9 turkey sandwiches = 12 sandwiches
• 4 ham sandwiches, 10 turkey sandwiches = 14 sandwiches
• 5 ham sandwiches, 11 turkey sandwiches = 16 sandwiches

While this method isn't always very efficient, it worked pretty well for this case!

Therefore, the answer is 5 ham sandwiches.