A delicatessen serves 13 kinds of sandwiches and 5 kinds of chips. How many different sandwiches and chip lunches can they make if each lunch has one sandwich and one bag of chips? Use the ditributive property to find the product?
To find the number of different sandwich and chip lunches that can be made, we need to multiply the number of options for sandwiches by the number of options for chips. In this case, there are 13 kinds of sandwiches and 5 kinds of chips.
To use the distributive property to find the product, we need to break down the multiplication into multiple partial products:
Distribution Property: a x (b + c) = (a x b) + (a x c)
In our case, a represents the number of kinds of sandwiches (13) and b represents the number of kinds of chips (5).
So we can rewrite the multiplication as:
13 x 5 = (10 x 5) + (3 x 5)
10 x 5 represents the number of sandwiches that can be paired with the first 5 kinds of chips, and 3 x 5 represents the number of sandwiches that can be paired with the last 5 kinds of chips.
10 x 5 = 50
3 x 5 = 15
Now we can add these partial products together:
50 + 15 = 65
Therefore, the delicatessen can make 65 different sandwich and chip lunches.