At a particular restaurant, each chicken wing has 80 calories and each slider has 300 calories. A combination meal with sliders and chicken wings is shown to have 1360 total calories and twice as many sliders as there are chicken wings. Write a system of equations that could be used to determine the number of chicken wings in the combination meal and the number of sliders in the combination meal. Define the variables that you use to write the system.

Question

At a particular restaurant, each chicken wing has 80 calories and each slider has 300 calories. A combination meal with sliders and chicken wings is shown to have 1360 total calories and twice as many sliders as there are chicken wings. Write a system of equations that could be used to determine the number of chicken wings in the combination meal and the number of sliders in the combination meal. Define the variables that you use to write the system.

Answer 1

Let's define the variables to represent the number of chicken wings and sliders in the combination meal.

Let's say that:
C = number of chicken wings
S = number of sliders

Now let's write down the equations:

1) Each chicken wing has 80 calories, so the total number of calories from chicken wings is 80C.
2) Each slider has 300 calories, so the total number of calories from sliders is 300S.

According to the problem, the combination meal has a total of 1360 calories. So the total number of calories from chicken wings and sliders combined is 1360. Therefore, we can write the equation:

3) 80C + 300S = 1360

Additionally, the problem states that there are twice as many sliders as there are chicken wings. So we can write another equation:

4) S = 2C

So the system of equations to determine the number of chicken wings and sliders in the combination meal would be:

80C + 300S = 1360
S = 2C

Answer 2

80 c + 300 s = 1360

s = 2 c