Mixture word problem?

If you have 10pints of 40% solution and 10 pints of 20% solution and mix them together, what is the percentage?

12 Answers

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  • 1 month ago
    Favorite Answer

    30%

    In 10pints of 40% solution, there are 4 pints of solute (substance dissolved).

    In 10pints of 20% solution, there are 2 pints of solute.

    When you mix them together, you get 20 pints of a solution with 4+2=6pints of solute in it.

    6/20=0.3 = 30%

  • cosmo
    Lv 7
    1 month ago

    It depends on the miscibility of the solutions.

  • Philip
    Lv 6
    1 month ago

    Solution 1 = 4 pints of ingredient A +  6 pints of ingredient B. Total pints = 10.;

    Solution 2 = 2 pints of ingredient A +  8 pints of ingredient B. Total pints = 10.;

    Solution 3 = 6 pints of ingredient A +14 pints of ingredient B. Total pints = 20.;

    We assume all solutions only contain active ingredients A& B.;

    Fraction of ingredient A in solution 3 = (6/20) = 100(6/20)% = 30%.;

    Fraction of ingredient B in solution 3 = (14/20) = 100(14/20)% = 70%.;

  • 1 month ago

    20 pints 30% solution             .

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  • Jim
    Lv 7
    1 month ago

    cV + cV = cV final

    10pt (.40) + 10pt (.20) = (4+2 concetrate) in 20 pints

    or 6/20 is 20 pints of 30% solution

  • 1 month ago

    If you have 10 pints of 40% solution and 10 pints of 20% solution 

    and mix them together, you will have 20 pints of 30% solution.

  • Anonymous
    1 month ago

    Common sense ought to suggest it is 30%

    And it is - In the first mix you have 4 pints of whatever it is in 10 and in the second mix 2 pints of it in 10. So combined you have 6 pints in 20, which makes 30%

  • ted s
    Lv 7
    1 month ago

    20 pints of 30%

  • 1 month ago

    40% of 10 pints = 4 pints

    20% of 10 pints = 2 pints or 6 pints

    Add 6 pints to 10+10=20 pints: 100% * 6/20 = 30%

  • 1 month ago

    Let x = amount of 40% solution

    Let y = amount of 20% solution

    So the total amount of the solution is: x + y

    If you only want the volume of the substance that is dissolved, then the amount in the 40% solution is:

    0.4x

    and the amount in the 20% solution is:

    0.2y

    The total amount is then:

    0.4x + 0.2y

    Which is then equal to an unknown percentage (z) of the total volume:

    0.4x + 0.2y = z(x + y)

    We know what x and y are, 10 pints each.  So we can substitute what we know and solve for the remaining unknown: z:

    0.4(10) + 0.2(10) = z(10 + 10)

    4 + 2 = 20z

    6 = 20z

    z = 6/20

    z = 0.3

    The result is a 30% solution.

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