Question

A bakery sold apple pies for $12 and blueberry pies for $14 on Saturday sold a total of 41 pies and collected a total of $536 how many apple pies did you sell and how many blueberry pies do they sell

Answer 1

22 blueberry pies and 19 apple pies.

Explanation:

This can be solved using a system of equations. Your equation for amount of pies sold is x + y = 41, with x representing apple pies and y representing blueberry pies, and 41 being the total amount of pies sold. The other equation is for the amount of dollars earned from selling the pies, which is:

12x + 14y = 536 $12 per apple pie, $14 per blueberry pie, and a total of $536.

Let's first solve for x. The new equation would be x = 41 - y. Now, we plug this equation into the second equation.

12(41 - y) + 14y = 536 Here we substituted x for the equation we made.

429 - 12y +14y = 536

-12y +14y = 44 Here we moved the 429 to the other side by subtracting it from the left and right.

2y = 44

y = 22. Now we know that there was a total of 22 blueberry pies sold. Now we plug 22 pies back into the very first equation to find x, the amount of apple pies.

x + 22 = 41

x = 19. Now we know there was a total of 19 apple pies sold.

Hope this helps!