document.write( "Question 1069967: How many ounces of a 35% alcohol solution must be mixed with 9 ounces of a 40% alcohol solution to make a 36% alcohol​ solution?\r
\n" ); document.write( "\n" ); document.write( "The amount of 35 % alcohol solution is how many ounces?
\n" ); document.write( "​(Type an integer or a​ decimal.)\r
\n" ); document.write( "\n" ); document.write( "A cook needs to mix a regular ranch dressing containing 47​% fat with a light ranch dressing containing 37​% fat to result in 7 cups of a dressing containing 42​% fat. How many cups of each kind of dressing should be​ mixed?
\n" ); document.write( "The mixture should contain
\n" ); document.write( "how many cups of regular dressing and
\n" ); document.write( "how many cups of light dressing.
\n" ); document.write( "

Algebra.Com's Answer #685119 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
(1)
\n" ); document.write( "Let \"+x+\" = ounces of the 35% alcohol solution needed
\n" ); document.write( "\"+.35x+\" = ounces of alcohol in the 35% solution
\n" ); document.write( "\"+.4%2A9+=+3.6+\" = ounces of alcohol in the 40% solution
\n" ); document.write( "-----------------------------------------------------
\n" ); document.write( "\"+%28+.35x+%2B+3.6+%29+%2F+%28+x+%2B+9+%29+=+.36+\"
\n" ); document.write( "\"+.35x+%2B+3.6+=+.36%2A%28+x+%2B+9+%29+\"
\n" ); document.write( "\"+.35x+%2B+3.6+=+.36x+%2B+3.24+\"
\n" ); document.write( "\"+.01x+=+3.6+-+3.24+\"
\n" ); document.write( "\"+.01x+=+.36+\"
\n" ); document.write( "\"+x+=+36+\"
\n" ); document.write( "-------------------
\n" ); document.write( "36 ounces of the 35% alcohol solution are needed
\n" ); document.write( "--------------------
\n" ); document.write( "check:
\n" ); document.write( "\"+%28+.35x+%2B+3.6+%29+%2F+%28+x+%2B+9+%29+=+.36+\"
\n" ); document.write( "\"+%28+.35%2A36+%2B+3.6+%29+%2F+%28+36+%2B+9+%29+=+.36+\"
\n" ); document.write( "\"+%28+12.6+%2B+3.6+%29+%2F+45+=+.36+\"
\n" ); document.write( "\"+16.2+%2F+45+=+.36+\"
\n" ); document.write( "\"+16.2+=+16.2+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );