document.write( "Question 181371: MX Labs needs to make 500 gallons of a 34% acid solution. The only solutions available are a 25% acid solution and a 50% acid solution. How may gallons of each solution should be mixed to make the 34% solution? \n" ); document.write( "

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MX Labs needs to make 500 gallons of a 34% acid solution. The only solutions available are a 25% acid solution and a 50% acid solution. How may gallons of each solution should be mixed to make the 34% solution?
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\n" ); document.write( "let x and y be the amount of 25% and 50% solutions used respectively
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\n" ); document.write( "x+y=500.............eq 1
\n" ); document.write( ".25x+.5y=.34(500)...eq 2
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\n" ); document.write( "rewrite eq 1 to x=500-y and plug it into eq 2
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\n" ); document.write( ".25(500-y)+.5y=170
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\n" ); document.write( "125-.25y+.5y=170
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\n" ); document.write( ".25y=45
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\n" ); document.write( " $\"highlight%28y=180%29\"$ gallons of 50% solution
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\n" ); document.write( " $\"highlight%28x=500-y=500-180=320%29\"$ gallons of 25% solution \n" ); document.write( "

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