Cody and Rob are selling cheesecakes for a school fundraiser. Customers can buy French silk cheesecakes and strawberry cheesecakes. Cody sold 1 French silk cheesecake and 2 strawberry cheesecakes for a total of $48. Rob sold 3 French silk cheesecakes and 1 strawberry cheesecake for a total of $44. Find the cost of each of one french silk cheesecake and one strawberry cheesecake.

Let's define the cost of one French silk cheesecake as $ x $ and the cost of one strawberry cheesecake as $ y $.

We are given the following information:

1. Cody sold 1 French silk cheesecake and 2 strawberry cheesecakes for a total of $48:
   \[
   x + 2y = 48
   \]

2. Rob sold 3 French silk cheesecakes and 1 strawberry cheesecake for a total of $44:
   \[
   3x + y = 44
   \]

We now have a system of linear equations:
\[
\begin{aligned}
1) & \quad x + 2y = 48 \\
2) & \quad 3x + y = 44
\end{aligned}
\]

### Step 1: Solve the system using substitution or elimination.
Let's use the substitution method. 

From equation 1:
\[
x = 48 - 2y
\]

Substitute $ x = 48 - 2y $ into equation 2:
\[
3(48 - 2y) + y = 44
\]

Distribute and solve for $ y $:
\[
144 - 6y + y = 44
\]
\[
144 - 5y = 44
\]
\[
-5y = 44 - 144
\]
\[
-5y = -100
\]
\[
y = \frac{-100}{-5} = 20
\]

So, the cost of one strawberry cheesecake $ y $ is $20.

### Step 2: Find the cost of the French silk cheesecake $ x $.
Using the value of $ y = 20 $ in equation 1:
\[
x + 2(20) = 48
\]
\[
x + 40 = 48
\]
\[
x = 48 - 40 = 8
\]

So, the cost of one French silk cheesecake $ x $ is $8.

### Final Answer:
- The cost of one French silk cheesecake is **$8**.
- The cost of one strawberry cheesecake is **$20**.

Would you like further details on the solution process?

Here are some related questions you might find useful:

1. What would the total cost be if Cody sold 3 French silk cheesecakes and 4 strawberry cheesecakes?
2. How many strawberry cheesecakes would Rob need to sell alone to match Cody’s total of $

Explore how to solve a system of linear equations involving Cody and Rob's sales of French silk and strawberry cheesecakes for a school fundraiser. Discover the cost of each type of cheesecake based on their sales totals.

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