document.write( "Question 23368: Please help me on this problem. I will write it how it looks in my text book.The two jugs stood side by side on the shelf. One contained a solution that was 60% antiseptic, and the other contained a solution that was 90% antiseptic. How much of each should be used to get 50 milliliters of a solution that is 78% antiseptic? \n" ); document.write( "

Algebra.Com's Answer #12150 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
You can write this out in words then do the algebraic equation.\r
\n" ); document.write( "\n" ); document.write( "You want to add x ml of 60% solution to (50-x) ml of 90% solution to obtain 50 ml of 78% solution. So, after converting the percentages to their equivalent decimal values,in algebrese (I just invented this word) you can write:\r
\n" ); document.write( "\n" ); document.write( " $\"x%280.6%29+%2B+%2850-x%29%280.9%29+=+50%280.78%29\"$ Simplify and solve for x.
\n" ); document.write( " $\"0.6x+%2B+45+-+0.9x+=+39\"$ Collect like-terms.
\n" ); document.write( " $\"-0.3x+%2B+45+=+39\"$ Subtract 45 from both sides of the equation.
\n" ); document.write( " $\"-0.3x+=+-+6\"$ Divide both sides by -0.3
\n" ); document.write( " $\"x+=+6%2F0.3\"$
\n" ); document.write( " $\"x+=+20\"$ \r
\n" ); document.write( "\n" ); document.write( "You would need to mix 20 ml of the 60% solution with (50-20 = 30) ml of the 98% solution to obtain 50 ml of 78% solution.\r
\n" ); document.write( "\n" ); document.write( "Check:
\n" ); document.write( "20(0.6) + 30(0.9) = 12 + 27 = 39
\n" ); document.write( "50(0.78) = 39.\r
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