Answer:
Cost of one New York style cheesecake = $5
Cost of one apple cheesecake = $9
Step-by-step explanation:
Let cost of one New York style cheesecake be =
Let cost of one apple cheesecake be =
Given:
3 New York stile cheesecake and 7 apple cheese cake were sold for a total of $78.
Cost of 3 New York style cheesecake be =
Cost of 7 apple cheesecake be =
Total = $78
We have:
A)
12 New York stile cheesecake and 12 apple cheese cake were sold for a total of $168.
Cost of 12 New York style cheesecake be =
Cost of 12 apple cheesecake be =
Total = $168
We have:
B)
Dividing each term in equation B by 12.
Solving for in terms of
Subtracting both sides.
Substituting in equation A.
Using distribution:
Subtracting both sides by 42.
Dividing both sides by 4.
∴
Substituting in
∴
∴ Cost of one New York style cheesecake = $5
∴ Cost of one apple cheesecake = $9