Algebra-2

Let's assume the number of cups of coffee is  and the number of cups of tea is .

Step 1: Set up equations based on the number of cups

We know that the total number of cups of coffee and tea is , so we have the equation:

Step 2: Set up equations based on the cost

Let the price per cup of tea be  dollars. Then the price per cup of coffee is  dollars.

She paid $ for the coffee, and since the number of cups of coffee is  and the price per cup is , we have the equation , or

She paid $ for the tea, and since the number of cups of tea is  and the price per cup is , we have the equation

Step 3: Solve the system of equations

From the equation , we can express

Substitute  into the cost equations.

We know that  and , substituting  into

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