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 $2.50x + 3.50y leq 30$ 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?
options:
○ 5
○ 6
○ 7
○ 10

Explanation:

Step1: Substitute y=4 into inequality

$2.50x + 3.50(4) \leq 30$

Step2: Calculate cost of 4 veggie wraps

$2.50x + 14 \leq 30$

Step3: Isolate x term

$2.50x \leq 30 - 14$
$2.50x \leq 16$

Step4: Solve for x

$x \leq \frac{16}{2.50}$
$x \leq 6.4$

Step5: Take integer value for x

Since x must be a whole number of sandwiches, the maximum integer x is 6.

Answer:

B. 6