Question

You are serving bratwurst and hamburgers at your annual picnic. You want at least three bratwursts or hamburgers for each of your 35 guests. Bratwursts cost $1.3 each and hamburgers $1.2 each. Your budget is $150.

a. x+y=150

b. x+y>105

c. 1.3x+1.2y=105

d. 1.3x+1.2y>150

Answer 1

To solve this problem, set up a system of equations based on the given information. The correct equation is 1.3x + 1.2y = 105.

Step-by-step explanation:

To solve this problem, we need to set up a system of equations based on the given information. Let's define x as the number of bratwursts and y as the number of hamburgers.

According to the problem, we want at least three bratwursts or hamburgers for each of the 35 guests. So, we can write the first equation as: x + y ≥ 3 * 35

Next, we need to consider the budget. Bratwursts cost $1.3 each and hamburgers $1.2 each. Our budget is $150. This gives us the second equation: 1.3x + 1.2y ≤ 150

Therefore, the correct answer is option c. 1.3x + 1.2y = 105.