Show how to solve scenario based querywith steps

Answer: The customer purchased 6 apples and 4 bananas.

Step-by-step solution

Step 1: Define variables and form the system of linear equations

Let $x$ represent the number of apples and $y$ represent the number of bananas. Since the total fruit count is $10$ , we have $x + y = 10$ . The total cost equation is given by $2x + y = 16$ .

Step 2: Solve for x by eliminating y

Subtract the first equation from the second equation to eliminate the variable $y$ . This simplifies directly to $x = 6$ , meaning $6$ apples were purchased.

Step 3: Substitute x to find y

Substitute $x = 6$ into the first equation $x + y = 10$ . Subtracting $6$ from both sides gives $y = 4$ , which is the number of bananas.

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