Question

Sara sells apple pies for $9.50 each and strawberry pies for $12.00 each. If the number of strawberry pies that she sold last weekend was 3 less than 2 times the number of apple pies sold and she made a total of $299.00, how many of each pie did she sell?

Answer 1

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.