Over a 6 month period, a bakery sold an average of 29 pies per day. The number of apple pies they sold was four less than twice the number of blueberry pies they sold. How many blueberry pies did the bakery average selling per day during that period?

Question

Kennedy Adams · Accepted Answer

Let #x# be the average number of apple pies sold and #y# be the average number of blueberry pies sold per day at the bakery.   #x + y = 29# # x = 2y - 4# #2y - 4 + y = 29# #3y = 33# #y = 11# The bakery sold an average of #11# blueberry pies per day.    I hope this is useful!

Kennedy Adams · Answer

11 blueberry pies.

If we write an expression for each kind of pie, we can also solve this problem with just one variable. There were fewer blueberry pies sold than apple pies, so: Let the Number of blueberry pies be #x# The number of apple pies is #2x - 4 " (4 less than double x)"# Every day, 29 pies are sold: 29 pies total (apple + berry pies). #x + 2x - 4 = 29# #3x = 33# #x = 11# #x# is the number of blueberry pies.

Eli Assouline · Answer

undefined Let $ x $ represent the number of blueberry pies sold per day.

According to the given information, the number of apple pies sold per day is four less than twice the number of blueberry pies sold. Therefore, the number of apple pies sold per day can be expressed as $ 2x - 4 $.

Since the bakery sold an average of 29 pies per day over a 6-month period, the total number of pies sold per day is the sum of the number of blueberry pies and the number of apple pies: $ x + (2x - 4) $.

Given that the average number of pies sold per day is 29, we can set up the equation:

$$ x + (2x - 4) = 29 $$

Solve for $ x $:

$$ 3x - 4 = 29 $$

$$ 3x = 33 $$

$$ x = 11 $$

So, the bakery averaged selling 11 blueberry pies per day during that period.