# Answer to Question #18055 in Algebra for Chelsea

Question #18055

Sara ordered 2 slices of pizza and a 12-ounce cola and paid $3.00. Sydney ordered 3 slices of pizza and 2 12-ounce colas for $4.75. How much does a slice of pizza cost?

Expert's answer

Let slice of pizza cost x and a 12-ounce cola cost y.

Then Sara's order cost: 2x+y=3

and Sydney's order cost: 3x+2y=4.75

From the first equation we have: y=3-2x and put this to the second equation:

3x+2(3-2x)=4.75

3x+6-4x=4.75

x=1.25

y=3-1.25*2=0.50

Answer: a slice of pizza cost $1.25 and a 12-ounce cola cost $0.50.

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