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

6.
Because 4*3.50= 14
30-14=16
16/2.50=6.4 so he sold 4 veggie wraps and 6 turkey sandwiches.

Answer 2

The maximum value of turkey sandwiches Ben could have sold is;

Option B; 6

Let number of turkey sandwiches be x

Let number of veggie wraps be y.

We are told that Turkey sandwiches cost $2.50 and veggie wraps cost $3.50.

Thus, for x number of Turkey sandwiches, the cost will be; 2.5x

For y number of veggie wraps, the cost will be 3.5y.

We are told he sold no more than $30 worth of turkey sandwiches and veggie wraps in the first hour of business. Thus, inequality to represent this scenario is;

2.5x + 3.5y ≤ 30

Now, he has sold 4 veggie wraps. Thus;

2.5x + 3.5(4) ≤ 30

2.5x + 14 ≤ 30

2.5x ≤ 30 - 14

2.5x ≤ 16

x ≤ 16/2.5

x ≤ 6.4

Since the number can't be decimal, we approximate to a whole number to get; x = 6