Question

Matt sold 12 cherry and 14 strawberry cheesecakes for a total of $214. Joe sold 6 cherry and 11 strawberry cheesecakes for a total of $151. What is the price of one cherry cheesecake and one strawberry cheesecake?

Answer 1

Let c=cost of cherry and s=cost of strawberry cheesecakes.
12c+14s=214
6c+11s=151.
So 12c+22s=302 subtract 12c+14s=214:
8s=88, so s=$11 and 6c=151-11s=151-121=$30.
The cost of one cherry cheesecake is $30 and of one strawberry is $11.
The cost of the sum of both is $41.