SOLUTION: you own a bakery and have a special recipe that calls for a dough that starts with a 80% flour to 20% sugar mixture. An employee incorrectly mixed 15 pounds of the mixture at a 70

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Question 243076: you own a bakery and have a special recipe that calls for a dough that starts with a 80% flour to 20% sugar mixture. An employee incorrectly mixed 15 pounds of the mixture at a 70% flour to 30% sugar ratio. How much flour must you add to the incorrect mixture so that the ratio of flour to sugar is corrected. How many pounds of the new mixture will there be.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
you own a bakery and have a special recipe that calls for a dough that starts with a 80% flour to 20% sugar mixture.
An employee incorrectly mixed 15 pounds of the mixture at a 70% flour to 30% sugar ratio.
How much flour must you add to the incorrect mixture so that the ratio of flour to sugar is corrected.
Equation:
flour + flour = flour
0.70*15 + 1.00x = 0.80(15+x)
Multiply thru by 100 to get:
70*15 + 100x = 80*15 + 80x
20x = 10^15
x = 7.5 lbs (amount of flour that must be added to the mixture)
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How many pounds of the new mixture will there be.
7.5 + 15 = 22.5 lbs.
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Cheers,
Stan H.