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Help! GHJ Café sells Medium and large coffees to locals in Downtown Dallas. If 7 medium cups and 10 large cups of coffee are sold, the café makes $68.75 in sales. If 10 medium and 15 large cups are sold, the total sales is $101.25. How much does a large cup of coffee sell for at GHJ Café?

Respuesta :

Answer:

Large cup cost $4.25

Step-by-step explanation:

Medium:  x

   Large:  y

Constraints:

  7x + 10y = 68.75

  10x + 15y = 101.25

Isolate y variable:

     (7x + 10y = 68.75) * -10    ===>    -70x - 100y =  -687.50

   (10x + 15y = 101.25) * 7       ===>     70x + 105y = 708.75

                                                        ____________________

   add the two equations                                 5y = 21.25

   divide by 5                                                      y = 4.25

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