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anonymous

  • one year ago

Maki uses 20 gallons of a solution with an unknown ethanol concentration and 60 gallons of a 12% ethanol solution to make 80 gallons of a 10% solution. The table shows the amount of each solution. What is the value of x, the concentration of the unknown ethanol solution? a. 0.02 b. 0.04 c. 0.05 d. 0.08

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  1. anonymous
    • one year ago
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    b

  2. anonymous
    • one year ago
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    how though?

  3. anonymous
    • one year ago
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    i dont know how to explain it, sorry :(

  4. anonymous
    • one year ago
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    are you sure it's b?

  5. anonymous
    • one year ago
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    im 85% its b

  6. kropot72
    • one year ago
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    Amount of ethanol in 20 gallons of unknown concentration = 20x Amount of ethanol in 60 gallons of 12% solution = 60 * 0.12 Amount of ethanol in 80 gallons of 10% solution = 80 * 0.1 Now we can construct an equation as follows: \[\large 20x+60\times0.12=80\times0.1\] which simplifies to: \[\large 20x+7.2=8\]

  7. kropot72
    • one year ago
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    Now just solve the last equation to find the value of x.

  8. anonymous
    • one year ago
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    so b?

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