Question

You are serving bratwurst and hamburgers at your annual picnic . You want at least three bratwursts or hamburgers for each of your 50 guests. Bratwursts cost $1.25 each and hamburgers $0.95 each. Your budget is $200 Let x be the number of bratwursts and y the number of hamburgers. Which systems of inequalities represents this situation?

x+y<50 1.25x + 0.95y < 200

x + y < 50 1.25x + 0.95y > 200

x + y > 150 1.25x + 0.95y > 200

x + y >150 1.25x + 0.95 y < 200

Answer 1

Answer:

x + y >150 1.25x + 0.95 y < 200

Step-by-step explanation:

If x and y represent numbers of bratwursts and hamburgers, respectively, we want the sum of their numbers to be at least 3·50 = 150. We would expect the inequality representing this to be ...

... x + y ≥ 150

The cost of x bratwursts will be 1.25x; the cost of y hamburgers will be 0.95y. The sum of these costs cannot exceed 200, so we expect that to be described by the inequality ...

... 1.25x +0.95y ≤ 200

The closest match to this pair of inequalities is the last answer selection, copied above.