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?

Guest Feb 25, 2022

#1**+1 **

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.

BuilderBoi Feb 25, 2022

#3**+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

Slimesewer Feb 27, 2022