Answer:
Cost of New York style cheesecakes = x = $4
Cost of Chocolate marble cheesecakes = y = $4
Explanation:
Ashley and Jennifer are selling cheesecakes for a school fundraiser. Let us represent:
Cost of New York style cheesecakes = x
Cost of Chocolate marble cheesecakes = y
Ashley sold 6 New York style cheesecakes and 14 chocolate marble cheesecakes for a total of $80.
6x + 14y = 80........ Equation 1
Jennifer sold 12 New York style cheesecakes and 1 chocolate marble cheesecake for a total of $52.
12x + y = 52.......... Equation 1
y = 52 - 12x
What is the cost each of one New York style cheesecake and one chocolate marble cheesecake?
Substitute 52 - 12x for y in Equation 1
6x + 14y = 80........ Equation 1
6x + 14(52 - 12x) = 80
6x + 728 - 168x = 80
6x - 168x = 80 - 728
-162x = -648
x = -648/-162
x = $4
Note: y = 52 - 12x
y = 52 - 12 ×$4
y = 52 - 48
y = $4
Cost of New York style cheesecakes = x = $4
Cost of Chocolate marble cheesecakes = y = $4