turkey sandwiches cost $2.50 and veggie wraps cost $3.50 at a snack stand. ben has sold no more than $30…

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 ≤ 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? o 5 o 6 o 7 o 10

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 ≤ 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? o 5 o 6 o 7 o 10

Answer

Explanation:

Step1: Substitute y - value

Given $y = 4$, substitute into $2.5x+3.5y\leq30$. We get $2.5x+3.5\times4\leq30$.

Step2: Simplify the equation

$2.5x + 14\leq30$. Then subtract 14 from both sides: $2.5x\leq30 - 14$, so $2.5x\leq16$.

Step3: Solve for x

Divide both sides by 2.5: $x\leq\frac{16}{2.5}=6.4$. Since x represents the number of sandwiches and must be an integer, the maximum value of x is 6.

Answer:

6