The cafeteria at Local Middle School offers a choice of either a sandwich or soup every Thursday.
Of 55 students who purchased lunch this Thursday, 30 chose a sandwich.
What is the ratio of the number of students who chose a sandwich to all those who purchased lunch this Thursday?

3  ×  3  ×  4  ×  2  =  72

Step-by-step explanation:

                     soup 1      soup 2       soup 3

Sandwich 1      1             2                3

Sandwich 2     4            5                6

  Sandwich 3     7            8                9  

And so we can see that we multiply the number of sandwiches and the number of soups to get the total number of ways to get one of each.

The same works for more categories of choices, and so we multiply the 3 sandwiches, the 3 soups, 4 salads, and 2 drinks to get:

3  ×  3  ×  4  ×  2  =  72

I hope this helps

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step-by-step explanation:

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