SOLUTION: How many cups of party mix that is 64% pretzels must be added to 84 cups of a party mix that is 43% pretzels to make a party that is 50% pretzles?

Question 75047: How many cups of party mix that is 64% pretzels must be added to 84 cups of a party mix that is 43% pretzels to make a party that is 50% pretzles?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How many cups of party mix that is 64% pretzels must be added to 84 cups of a party mix that is 43% pretzels to make a party that is 50% pretzles?
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64% pretzel DATA:
Amt = x cups ; Amt of pretzels = 0.64x cups
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43% pretzel DATA:
Amt = 84 cups ; Amt of pretzels = 0.43*84 = 36.12 cups
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50% pretzel DATA:
Amt = x+84 cups ; Amt of pretzels = 0.50*(x+84)= 0.5x+42 cups
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EQUATION:
pret + pret = pret
0.64x + 36.12 = 0.50x+42
0.14x= 5.88
x=42 cups (Amount of 64% pretzel mix that must be added.)
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Cheers,
Stan H.

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