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You can put this solution on YOUR website!
\n" ); document.write( "The question you ask is surely not the question you intended to ask. The number of milliliters in the new solution is 1000 -- that is given in the statement of the problem.
\n" ); document.write( "Obviously the intent of the problem is to find how many milliliters of each solution you need to mix to get the final 1000 ml of 12% salt solution.
\n" ); document.write( "You are mixing x ml of 8% salt solution with y ml of 18% salt solution to obtain 1 liter (1000 ml) of 12% salt solution. So you know
\n" ); document.write( "(1)
\n" ); document.write( "(2)
\n" ); document.write( "For an algebraic solution -- which you apparently need -- solve (1) for either x or y and substitute in (2), then solve the resulting equation.
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\n" ); document.write( "I leave it to you to solve that equation to get the given answer.
\n" ); document.write( "Certainly you should understand how to set up a problem like this for solving using formal algebra.
\n" ); document.write( "However, if a formal algebraic solution is NOT required, there is a much faster and easier way to solve this kind of problem.
\n" ); document.write( "Look at where the target percentage of 12% lies between the 8% and 18% of the two ingredients. (That is, picture the three percentages on a number line.)
\n" ); document.write( "12% is 4/10 of the way from 8% to 18%. (8 to 18 is a difference of 10; 8 to 12 is a difference of 4; so 12 is 4/10 of the way from 8 to 18.)
\n" ); document.write( "That means 4/10 of the mixture needs to be the 18% ingredient; 4/10 of 1000ml is 400ml.
\n" ); document.write( "ANSWER: 400ml of the 18% salt solution and 600ml of the 8% salt solution.
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