Answer:
Therefore, the bakery sold 17 apple pies and 21 blueberry pies.
Step-by-step explanation:
To determine how many apple and blueberry pies the bakery sold, let's set up a system of equations based on the given information:
Let:
A = number of apple pies sold
B = number of blueberry pies sold
From the information given:
1. The total number of pies sold is 38:
\( A + B = 38 \) ...(1)
2. The total amount collected from selling apple pies (11A) and blueberry pies (13B) is $460:
\( 11A + 13B = 460 \) ...(2)
Now, we can solve this system of equations. One way to solve it is by substitution or elimination. I will solve it using the elimination method:
Multiply equation (1) by 11 to align the coefficients of A:
\( 11A + 11B = 418 \) ...(3)
Subtract equation (3) from equation (2) to eliminate A:
\( 11A + 13B = 460 \)
\( - (11A + 11B = 418) \)
\( 2B = 42 \)
\( B = 21 \)
Substitute the value of B back into equation (1) to find A:
\( A + 21 = 38 \)
\( A = 17 \)
