SOLUTION: Grandma's Bakery sells single-crust apple pies for $6.99 and double-crust cherry pies for $10.99. The total number of pies sold on a busy Friday was 36. If the amount collected fo

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Question 250856: Grandma's Bakery sells single-crust apple pies for $6.99 and double-crust cherry pies for $10.99. The total number of pies sold on a busy Friday was 36. If the amount collected for all the pies that day was $331.64, how many of each type were sold?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
x * 6.99 + y * 10.99 = $331.64

x + y = 36

solve for y in the second equation to get:

y = 36 - x

substitute for y in the first equation to get:

x * 6.99 + (36 - x) * 10.99 = $331.64

simplify by removing parentheses to get:

x * 6.99 + 36*10.99 - x * 10.99 = 331.64

subtract 36*10.99 from both sides of the equation to get:

6.99*x - 10.99*x = 331.64 - 395.64

combine like terms to get:

-4*x = -64

divide both sides by -4 to get:

x = 16

y = 36 - x = 20

you have:

x = 16
y = 20

substitute in original equation.

x * 6.99 + y * 10.99 = $331.64 becomes:

16 * 6.99 + 20 * 10.99 = 331.64 which becomes

111.84 + 219.8 = 331.64 confirming the answers are good.