Answer:
You sold 15 vegetarian sandwiches and 10 turkey sandwiches.
Explanation:
First, let's call the number of vegetarian sandwiches sold "V" and the number of turkey sandwiches sold "T".
We can set up the following equation: 3V + 4T = 85
Next, we need to find the values of V and T that satisfy this equation. To do this, we can use the fact that V and T must be whole numbers since we cannot sell a fraction of a sandwich.
We can start by trying V = 1 and T = 6. Plugging these values into the equation, we get: 3(1) + 4(6) = 18 + 24 = 42
Since 42 is not equal to 85, this means that V and T cannot both be 1 and 6.
We can try other values of V and T that are whole numbers until we find a combination that satisfies the equation. One way to do this is to use trial and error.
For example, we can try V = 2 and T = 5, which gives us: 3(2) + 4(5) = 6 + 20 = 26 This is still not equal to 85, so we can try other values. We can also use the fact that V + T = 25 (since we sold a total of 25 sandwiches) to help us solve the equation.
If we set V + T = 25, then we can rewrite the original equation as: 3V + 4(25 - V) = 85 Solving for V, we get: 3V + 100 - 4V = 85 Combining like terms, we get: -V = 15 Dividing both sides by -1, we get: V = 15
Since V + T = 25, this means that T = 25 - 15 = 10
Therefore, we sold 15 vegetarian sandwiches and 10 turkey sandwiches.