Question

In the school cafeteria, you are deciding on how many of three types of dishes to make: chicken sandwiches, french-fries, and caesar salads. The chicken sandwiches use 2lb. of chicken per sandwich while the salads use 1lb. of chicken per salad and you want to use all 300lbs. of chicken you have for today's lunch. Due to healthy student regulations, you are required to make twice as many salads as you make servings pf french-fries. Given that and need to give out 200 total dishes, how many of each dish should you make?

Establish your variables for this problem.

Answer 1

To solve this problem, we need to establish variables for each type of dish. Given the required ratio between salads and french-fries, and the total amount of chicken, we can set up a system of equations to find the values of each variable.

Step-by-step explanation:

To solve this problem, we need to establish variables for each type of dish. Let's denote the number of chicken sandwiches as 'C', the number of french-fries servings as 'F', and the number of caesar salads as 'S'.

Given that we need to make twice as many salads as we make servings of french-fries, we have the equation: S = 2F.

Since each chicken sandwich uses 2lbs of chicken and each caesar salad uses 1lb of chicken, the total chicken used is: 2C + S = 300.

Finally, we know that the total number of dishes should be 200, so we have the equation: C + F + S = 200.

By solving these equations simultaneously, we can find the values of C, F, and S.