SOLUTION: A baker made 20 pies. A Boy Scout troop buys one–fourth of his pies, a preschool teacher buys one–third of his pies, and a caterer buys one–sixth of his pies. How many pies does th

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A baker made 20 pies. A Boy Scout troop buys one–fourth of his pies, a preschool teacher buys one–third of his pies, and a caterer buys one–sixth of his pies. How many pies does th      Log On


   

Question 334048: A baker made 20 pies. A Boy Scout troop buys one–fourth of his pies, a preschool teacher buys one–third of his pies, and a caterer buys one–sixth of his pies. How many pies does the baker have left?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A baker made 20 pies. A Boy Scout troop buys one–fourth of his pies,
a preschool teacher buys one–third of his pies, and a caterer buys one–sixth of his pies.
How many pies does the baker have left?
:
Let p = no. of pies left over
:
p = 20 - 1%2F420 - 1%2F320 - 1%2F620
Multiply by 12 to get rid of the denominators
12p = 12(20) - 3(20) - 4(20) - 2(20)
:
12p = 240 - 60 - 80 - 40
:
12p = 240 - 180
:
12p = 60
p = 60%2F12
p = 5 pies left over