At a particular restaurant, each chicken wing has 75 calories and each slider has 250 calories. A combination meal with chicken wings and sliders is shown to have 800 total calories and twice as many chicken wings as there are sliders. 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

Alayna

Mathematics

23 November, 12:06

At a particular restaurant, each chicken wing has 75 calories and each slider has 250 calories. A combination meal with chicken wings and sliders is shown to have 800 total calories and twice as many chicken wings as there are sliders. 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.

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Answers (1)

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Rachael Ali · Answer 1

Know a are:

CW=75. SL = 250. Y = 2x

CW = X = number of wings

SL = Y = number of sliders

X+Y = Total number of items, which can be rewritten as X+2X = total

Plug in the calories for the total

2 (75X) + 250X = 800

150x+250X = 400X = 800

X = 800/400=2 pieces of Slider

Double the amount for Wings=2x2=4

4wings/2 Sliders