A food truck sells salads for $6.50 each and drinks for `$2.00` each. The food truck’s revenue from selling a total of 209 salads and drinks in one day was `$836.50`. How many salads were sold that day?

Options

A. 77
B. 93
C. 99
D. 105

Answer

To solve the problem, we can set up a system of equations based on the information given. Let's break it down step by step.

### Step 1: Define the Variables
Let:
- \( S \) = number of salads sold
- \( D \) = number of drinks sold

### Step 2: Set Up the Equations
From the problem, we know:
1. The total number of salads and drinks sold is 209:
\[ S + D = 209 \quad \text{(Equation 1)} \]

2. The total revenue from salads and drinks is $836.50:
\[ 6.50S + 2.00D = 836.50 \quad \text{(Equation 2)} \]

### Step 3: Solve for One Variable
From Equation 1, we can express \( D \) in terms of \( S \):
\[ D = 209 - S \]

### Step 4: Substitute into the Revenue Equation
Now, substitute \( D \) in Equation 2:
\[ 6.50S + 2.00(209 - S) = 836.50 \]

### Step 5: Simplify the Equation
Distributing the 2.00:
\[ 6.50S + 418 - 2.00S = 836.50 \]

Combine like terms:
\[ (6.50 - 2.00)S + 418 = 836.50 \]
\[ 4.50S + 418 = 836.50 \]

### Step 6: Isolate the Variable
Subtract 418 from both sides:
\[ 4.50S = 836.50 - 418 \]
\[ 4.50S = 418.50 \]

### Step 7: Solve for \( S \)
Now, divide both sides by 4.50:
\[ S = \frac{418.50}{4.50} \]
Calculating this gives:
\[ S = 93 \]

### Conclusion
The number of salads sold that day is \( \boxed{93} \).

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