Question

Four slices of cheesecake and one slice of pie costs $18. Seven slices of cheesecake and three slices of pie costs $34. How much does one slice of cheesecake cost?​

Answer 1

4 $

Explanation:

Answer 2

A piece of carrot cake is $4

Explanation:

Set this up as an equation.

Let’s have “c” represent cheese cake

And “p” represent pie.

4c+p=18

7c+3p=34

I would solve this using substitution because you already have one “p” in the top equation.

Subtract the 4c and move it to the other side.

p=18-4c

Now plug the equation above into your other equation

7c+3(18-4c)=34

Distribute the 3 into 18-4c

7c+54-12c=34

Combine like terms.

54-5c=34

Subtract 54 to both sides

-5c=-20

Divide -5 to both sides

C=4

A piece of carrot cake is $4