Question

Hamburgers cost $2.50 and cheeseburgers cost $3.50 at a snack bar. Ben has sold no more than $30 worth of hamburgers and cheeseburgers in the first hour of business. Let x represent the number of hamburgers and y represent the number of cheeseburgers. The inequality 2.50x + 3.50y ≤ 30 represents the food sales in the first hour.
If Ben has sold 4 cheeseburgers, what is the maximum value of hamburgers Ben could have sold?

Answer 1

Using the inequality
2.50x + 3.50y ≤ 30
substituting y with the number of cheeseburgers sold
2.5x + 3.5(4) ≤ 30
 x = 6.4
The maximum number of hamburgers he can sell is 6

Answer 2

Answer:

The maximum value of hamburgers is $6$

Step-by-step explanation:

Let

x-------> the number of hamburgers

y-----> the number of cheeseburgers

we know that

$2.50x+3.50y\leq 30$ -------> inequality that represent the situation

For $y=4$

substitute in the inequality and solve for x

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

$2.50x+14\leq 30$

$2.50x\leq 30-14$

$2.50x\leq 16$

$x\leq 6.4$

so

The maximum value of hamburgers is $6$