Answer:
23 apple pies and 13 cherry pies were sold.
Explanation:
Let's use the variables a and c to represent the number of apple and cherry pies sold, respectively.
From the problem, we know that:
The total number of pies sold is 36: a + c = 36
The total revenue from pie sales is $304.00: 7a + 11c = 304
We now have two equations with two unknowns. We can use substitution or elimination to solve for a and c. Here's one way to use substitution:
Solve the first equation for a: a = 36 - c
Substitute a = 36 - c into the second equation: 7(36 - c) + 11c = 304
Simplify: 252 - 7c + 11c = 304
Simplify further: 4c = 52
Solve for c: c = 13
Substitute c = 13 into the first equation to solve for a: a + 13 = 36
Simplify: a = 23
Therefore, 23 apple pies and 13 cherry pies were sold.