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The drama club at NAMS sells hot chocolate and coffee at the high school football games. At the last game, they had sales of $200. They need to keep track of how many of each type drink was sold so that they can make predictions for future sales. Monica knows that they used 275 cups that night. If the hot chocolate sells for 75 cents and coffee sells for 50 cents, how much of each type of drink were sold?

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vialia

Answer:

Coffee = 25

Hot Chocolate = 250

Step-by-step explanation:

Coffee: c

Hot Chocolate: h

0.75h + 0.50c = 200

h + c = 275

h + c = 275

h = 275 - c

0.75h + 0.50c = 200

0.75(275 - c) + 0.5c = 200

206.25 - 0.75c + 0.5c = 200

-0.25c = -6.25

-0.25c/-0.25 = -6.25/-0.25

c = 25

0.75h + 0.5(25) = 200

0.75h + 12.5 = 200

0.75h = 200 - 12.5

0.75h = 187.5

0.75h/0.75 = 187.5

h = 250

Check: c = 25; h = 250

0.75h + 0.50c = 200

h + c = 275

0.75(250) + 0.5(25) = 200

187.5 + 12.5 = 200

200 = 200

h + c = 275

250 + 25 = 275

275 = 275

raphealnwobi

The drama club sold 250 hot chocolates and 25 coffee drinks.

Equation

Equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the number of hot chocolate and y represent the number of coffee. From the question the equation are:

  • x + y = 275   (1)
  • 0.75x + 0.5y = 200 (2)

From both equations:

x = 250, y = 25

The drama club sold 250 hot chocolates and 25 coffee drinks.

Find out more on Equation at: https://brainly.com/question/13763238

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