SOLUTION: This is a system of equations word problem. "During a football game, the parents of the football players sell pretzels and popcorn to raise money for new uniforms. They charge $2

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: This is a system of equations word problem. "During a football game, the parents of the football players sell pretzels and popcorn to raise money for new uniforms. They charge $2      Log On


   

Question 833401: This is a system of equations word problem.
"During a football game, the parents of the football players sell pretzels and popcorn to raise money for new uniforms. They charge $2.50 for a bag of popcorn and $2 for a pretzel. The parents collect $336 in sales during the game. They sell twice as many bags of popcorn as pretzels. How many bags of popcorn do they sell? How many pretzels do they sell?"
This is an equation I came up with:
+2%282.5x%29%2B2y=336+
Although this would give me an answer, I've tried to create a system of equations but they never work! Could you please explain how you got the answer and thank you so much.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
During a football game, the parents of the football players sell pretzels and popcorn to raise money for new uniforms.
They charge $2.50 for a bag of popcorn and $2 for a pretzel.
The parents collect $336 in sales during the game.
They sell twice as many bags of popcorn as pretzels.
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How many bags of popcorn do they sell? How many pretzels do they sell?"
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Quantity Eq:: pop = 2*pret
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Value Eq::: 2.5pop + 2pret = 336 dollars
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Substitute for "pop" and solve for "pret"::
2.5(2*pret) + 2*pret = 336 dollars
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5pret + 2pret = 336
7pret = 336
# of pretzels = 336/7 = 48
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# of popcorn = 2*# of pretzels = 96
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Cheers,
Stan H.
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