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2 cakes and 3 pies cost $56. The cost of 1 pie is half the cost of 1 cake. What is the cost of a cake?

 Feb 25, 2022
 #1
avatar+1384 
+2

p = cost of pie

c = cost of cake

 

2p = c     (1)

 

2c + 3p = 56      (2)

 

Substitute c for 2p: 

 

4p + 3p = 56

 

Solve for p, and subsitute it with the first equation. 

 Feb 25, 2022
 #3
avatar+169 
+1

Let cost of 1 pie be 'x'

So, cost of 1 cake = 2x

     So, 2 cake + 3 pie = $56

           2 (2x) + 3 (x) = 56

             4x + 3x = 56

            7x = 56

              x = 8

 Cost of cake = 2x = 2 * 0

                      = $16

 Feb 27, 2022
edited by Slimesewer  Feb 27, 2022

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