Question

Ryan and Arjun are selling cheesecakes for a school fundraiser. Customers can buy pecan cheesecakes and chocolate marble cheesecakes. Ryan sold 4 pecan cheesecakes and 1 chocolate marble cheesecake for a total of $46. Arjun sold 12 pecan cheesecakes and 14 chocolate marble cheesecakes for a total of $292. Find the cost each of one pecan cheesecake and one chocolate

Answer 1

Step-by-step explanation:

Let the cost of one pecan cheesecake = x

Let the cost of one chocolate​ marble cheesecake = y

Ryan sold 4 pecan cheesecakes and 1 chocolate marble cheesecake for a total of $46.

• 4x+y=46

Arjun sold 12 pecan cheesecakes and 14 chocolate marble cheesecakes for a total of $292.

• 12x+14y=292

We solve the two equations simultaneously.

From the first equation: y=46-4x

Substitute into the second equation: