A bakery sold apple pies for $11 and blueberry pies for $13 One Saturday they sold a total of 38 pies and collected a total of $460. How many pies did they sell and how many blueberry pies did they sell?

X=apple pies

y=blueberry pies

x+y=38

11x+13y=460

first you rearrange the first equation to become: y=38-x and then by using the substitution method you can do:

11x+13 (38-x) = 460

11x+494-13x=460

(combine like terms)

-2x+494=460

(-494 on both sides)

-2x=-34

(divide by - 2 on both sides)

x=17

finally, you plug 17 in place for x in the first equation (original):

(17) + y=38

(-17 on both sides)

y=21

meaning they sold 21 blueberry pies!