Andrew is planning a tailgate party before the big football game. he has budgeted a maximum of $60 for hamburgers and hot dogs. hamburgers cost $3 per pound, and hot dogs cost $2 per pound. write an inequality to describe the possible number of pounds of hamburgers and of hot dogs he can purchase.

Since 60 dollars is the maximum, the cost (c) has to be equal to or less than 60. Writing that out, we get c≤60. We want to figure out the cost. Since hamburgers are 3$ per pound, if we buy x pounds of hamburgers we pay 3x dollars due to that we add 3 for every hamburger. Similarly, if the amount of hot dogs is y, we have 2y as the cost for the hot dogs. The cost is (cost of hamburgers)+(cost of hot dogs), so c=3x+2y and since c≤60, we plug 3x+2y in for c to get 3x+2y≤60