Question

Turkey sandwiches cost $2.50 and veggie wraps cost $3.50 at a snack stand. Ben has sold no more than $30 worth of turkey sandwiches and veggie wraps in the first hour of business. Let x represent the number of turkey sandwiches and y represent the number of veggie wraps. The inequality 2.50x+3.50y30 represents the food sales in the first hour.

If Ben has sold 4 veggie wraps, what is the maximum number of turkey sandwiches Ben could have sold?

5
6
7
10

Answer 1

We use 2.50x + 3.50y ≤ 30. With y = 4:

2.50x + 3.50(4) ≤ 30
2.50x + 14 ≤ 30
2.50x ≤ 16
x ≤ 16 / 2.5 = 6.4

x must be a whole number, so the maximum is 6.