Keilantra runs a farm stand that sells strawberries and blueberries. Each pound of strawberries sells for $2.25 and each pound of blueberries sells for $4. Keilantra made $204.50 from selling a total of 73 pounds of strawberries and blueberries. Determine the number of pounds of strawberries sold and the number of pounds of blueberries sold.

To solve this problem, we need to set up a system of equations based on the information given.

Let's denote:
- $ x $ as the number of pounds of strawberries sold.
- $ y $ as the number of pounds of blueberries sold.

We are given two key pieces of information:
1. The total weight of strawberries and blueberries sold is 73 pounds.
   \[
   x + y = 73
   \]
2. The total revenue from selling the strawberries and blueberries is $204.50.
   \[
   2.25x + 4y = 204.50
   \]

### Step 1: Solve the system of equations.

We have the following system of equations:
\[
\begin{align*}
x + y &= 73 \quad \text{(Equation 1)} \\
2.25x + 4y &= 204.50 \quad \text{(Equation 2)}
\end{align*}
\]

### Step 2: Solve for $ y $ using Equation 1.
From Equation 1:
\[
y = 73 - x
\]

### Step 3: Substitute $ y = 73 - x $ into Equation 2.
Substituting into Equation 2:
\[
2.25x + 4(73 - x) = 204.50
\]
Expand and simplify:
\[
2.25x + 292 - 4x = 204.50
\]
Combine like terms:
\[
-1.75x + 292 = 204.50
\]
Subtract 292 from both sides:
\[
-1.75x = 204.50 - 292
\]
\[
-1.75x = -87.50
\]
Solve for $ x $:
\[
x = \frac{-87.50}{-1.75} = 50
\]

So, $ x = 50 $ pounds of strawberries were sold.

### Step 4: Find $ y $ using $ x = 50 $.
Substitute $ x = 50 $ back into Equation 1:
\[
y = 73 - 50 = 23
\]

So, $ y = 23 $ pounds of blueberries were sold.

### Final Answer:
- **50 pounds of strawberries** were sold.
- **23 pounds of blueberries** were sold.

Would you like further details or have any questions about this solution?

Here are 5 related questions you might find useful:
1. If Keilantra had sold 60 pounds of strawberries, how much revenue would she have made?
2. What would happen to the total revenue if the price per pound of strawberries increased to $3?
3. How many pounds of each fruit would Keilantra need to sell to make $250 if she sold a total of 80 pounds?
4. If the price of blueberries dropped to $3.50 per pound, how many pounds would she need to sell to maintain the same total revenue?
5. What is the ratio of the number of pounds of strawberries sold to the number of pounds of blueberries sold?

**Tip:** When solving a system of equations, always ensure that your substitution or elimination steps are performed carefully to avoid calculation errors.

Learn how to solve a system of equations problem involving the sale of strawberries and blueberries. Keilantra's farm stand sells strawberries for $2.25 per pound and blueberries for $4 per pound, making $204.50 from selling a total of 73 pounds. Find out how many pounds of each were sold with step-by-step solution.

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