Question

Let x be the number of bratwursts and y thenumber of hamburgers. Which system ofinequalities represents this situation?You are serving bratwurst andhamburgers at your annual picnic. Youwant at least three bratwursts orhamburgers for each of your 30 guests.Bratwursts cost $1.25 each andhamburgers $0.75 each. Your budget is$120.Click on the correct answer.x + y s 301.25x + 0.75y s 120x + y s 301.25x + 0.75y = 120x + y 2 901.25x + 0.75y2 120x + y 2 901.25x + 0.75y = 120

Answer 1

The first condition is that there must be at least 3 hamburgers or 3 bratwursts for each of the 30 participants. This means that the sum of hamburgers and bratwurst must be at least 90. This can be expressed as:

$x+y\ge90$

The second condition says that the maximum amount to pay is $120, this means that the total cost of hamburgers and bratwurst must be less than $120. This can be expressed as:

$1.25x+0.75y\le120$

Therefore, the system that represents the situation is:

$\begin{gathered} x+y\ge90 \\ 1.25x+0.75y\le120 \end{gathered}$