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?

$15 is the maximum value of hamburgers Ben could have sold

Step-by-step explanation:

Given :

Each Hamburgers cost $2.50

Each cheeseburgers cost $3.50

Ben has sold no more than $30 worth of hamburgers and cheeseburgers

To Find: If Ben has sold 4 cheeseburgers, what is the maximum value of hamburgers Ben could have sold?

Solution :

we are given an inequality :  

where x denotes number of hamburgers

y denotes number of cheeseburgers

Since Ben has sold 4 cheese burgers  i.e. y= 4

So, substituting y = 4 in the given inequality .Find the maximum value of hamburgers Ben could have sold

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Thus the maximum number of hamburger sold is 6

Since cost of 1 Hamburgers =$2.50

So, cost of 6 hamburgers = 2.50 *6= $15

Hence If Ben has sold 4 cheeseburgers, $15 is the maximum value of hamburgers Ben could have sold

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step-by-step explanation: