Four (4) cupcakes and three (3) milkshakes cost $23. Two (2) cupcakes and four (4) milkshakes cost $24. Calculate the cost of one cupcake and one milkshake.

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Answer:

Step-by-step explanation:

Let the cupcake cost = c

Let the milkshake cost = m

4c + 3 m = 23

2c + 4m = 24        multiply this equation by 2

2(2c + 4m = 24)

4c + 8m =     48        Now put the first equation underneath this one

4c + 3m = 23       Subtract

       5m = 25         Divide by 5

        m = 25/5

         m = 5

Use 2c + 4m = 24

m = 5

2c + 4*5 = 24            Combine

2c + 20 = 24             Subtract 20 from both sides

2c = 24 - 20

2c = 4                        Divide by 2

c = 4/2

c = 2

Answer

  • cupcakes = $2.00
  • Milkshakes= $5.00  
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