At a particular restaurant, each slider has 225 calories and each chicken wing has 70 calories. A combination meal with sliders and chicken wings has a total of 10 sliders and chicken wings altogether and contains 1165 calories. Write a system of equations that could be used to determine the number of sliders in the combination meal and the number of chicken wings in the combination meal. Define the variables that you use to write the system.
Let:
x = number of sliders in the combination meal
y = number of chicken wings in the combination meal
We can set up the following system of equations:
Equation 1: 225x + 70y = 1165 (since each slider has 225 calories and each chicken wing has 70 calories, the total calories in the combination meal is given as 1165)
Equation 2: x + y = 10 (since the total number of sliders and chicken wings is given as 10)
Therefore, the system of equations is:
225x + 70y = 1165
x + y = 10