Question

Beyoncé and Katy Perry went to Culver's when touring in Wisconsin. Beyoncé had 3 burgers and 2 orders of cheese curds for $16. Katy Perry had 4 burgers and 3 orders of cheese curds for $22. What is the cost of each, cheese curds & burgers?

A. Burgers: $3, Cheese Curds: $5
B. Burgers: $4, Cheese Curds: $6
C. Burgers: $2, Cheese Curds: $4
D. Burgers: $5, Cheese Curds: $3

Answer 1

To find the cost of burgers and cheese curds, we set up a system of equations from the orders of Beyoncé and Katy Perry and solved it. Upon solving, it turns out burgers cost $4 each and cheese curds cost $2 each, which does not match any of the provided options.

Step-by-step explanation:

The problem presented is a system of equations where we need to find the cost of cheese curds and burgers based on the total cost incurred by Beyoncé and Katy Perry at Culver's. We can define burgers as 'b' and cheese curds as 'c'.

Creating Equations

Beyoncé: 3b + 2c = $16
Katy Perry: 4b + 3c = $22

Solving the System

1. Multiply the first equation by 3, and the second equation by 2, to eliminate the cheese curd variable: 9b + 6c = 48 and 8b + 6c = 44.
2. Subtract the second equation from the first: 9b - 8b + 6c - 6c = 48 - 44, which simplifies to b = $4.
3. Plug the value of 'b' back into one of the original equations (using Beyoncé's: 3(4) + 2c = 16): 12 + 2c = 16, which simplifies to 2c = 4, and further to c = $2.

Therefore, the cost of burgers is $4 and the cost of cheese curds is $2. So the correct answer is not listed in the provided options.