Abakery sold apple pies for $12 and blueberry pies for $14. one saturday they sold a total of 41 pies and collected a total of $536. how many apple pies did they sell and how many blueberry pies did they sell? 19 apple pies and 22 blueberry pies 22 apple pies and 19 blueberry pies 16 apple pies and 25 blueberry pies 12 apple pies and 28 blueberry pies

The total number of apple pies is 19 and the total number of blueberry pies is 22 and this can be determined by forming the linear equation.

Given :

The following steps can be used in order to determine the total number of apple pies and blueberry pies did they sell:

Step 1 - Let the total number of apple pies be 'x' and the total number of blueberry pies be 'y'.

Step 2 - The linear equation that represents the total number of pies is:

x + y = 41

x = 41 - y   --- (1)

Step 3 - The linear equation that represents the total amount collected is:

12x + 14y = 536   --- (2)

Step 4 - Substitute the value of 'x' in equation (2).

12(41 - y) + 14y = 536

492 - 12y + 14y = 536

2y = 44

y = 22

Step 5 - Substitute the value of 'y' in the equation (1).

x = 41 - 22

x = 19

For more information, refer to the link given below:

link

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: