Final answer:
Sara sold 10 apple pies and 17 strawberry pies.
Step-by-step explanation:
To solve this problem, let's create equations for the given information. Let x represent the number of apple pies sold and y represent the number of strawberry pies sold. We know that the cost of apple pies is $9.50 each and the cost of strawberry pies is $12.00 each.
From the given information, we can form two equations:
1. y = 2x - 3 (The number of strawberry pies sold is 3 less than 2 times the number of apple pies sold)
2. 9.5x + 12y = 299 (The total amount made from selling apple and strawberry pies is $299.00)
Solving these equations simultaneously will give us the values of x and y, representing the number of apple pies and strawberry pies sold, respectively.
By substituting the value of y from equation 1 into equation 2, we get:
9.5x + 12(2x - 3) = 299
Simplifying the equation, we find that:
33.5x = 335
x = 10 (number of apple pies sold)
Substituting the value of x back into equation 1, we find that:
y = 2(10) - 3
y = 17 (number of strawberry pies sold)
Therefore, Sara sold 10 apple pies and 17 strawberry pies.