document.write( "Question 741162: Please help me solve this word problem. \r
\n" ); document.write( "\n" ); document.write( "Elise wants to make a 61% alcohol solution. She has already poured 3 gal. of a 40% alcohol solution into a beaker. How many gal. of a 70% alcohol solution must she add to this to create the desired mixture?\r
\n" ); document.write( "\n" ); document.write( "This is what I have tried.
\n" ); document.write( ".61x+1.2=.7x+2.1
\n" ); document.write( ".61x=.7x+1.1
\n" ); document.write( ".87x=1.1
\n" ); document.write( "x=1.26 gallons\r
\n" ); document.write( "\n" ); document.write( "Is this correct?
\n" ); document.write( "

Algebra.Com's Answer #451870 by josgarithmetic(39618)\"\" \"About 
You can put this solution on YOUR website!
Is that beaker big enough?\r
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\n" ); document.write( "\n" ); document.write( "Let y = gallons of 70% alcohol to add.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%283%2A40%2By%2A70%29%2F%28totalVolumeOfMixture%29=61\"\r
\n" ); document.write( "\n" ); document.write( "That is the 61% target concentration is the ratio of total amount of alcohol to the total amount of solution, expressing concentrations as percents.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"highlight%28%283%2A40%2By%2A70%29%2F%283%2By%29=61%29\"
\n" ); document.write( "Solve for y.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "You could do it like, \"%283%2A0.40%2By%2A0.70%29%2F%283%2By%29=0.61\" but you may still multiply both sides by 100, so you'll have the equivalent of the above highlighted equation.\r
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\n" ); document.write( "\n" ); document.write( "Further steps,
\n" ); document.write( "\"40%2A3%2B70y=61%283%2By%29\"
\n" ); document.write( "\"40%2A3%2B70y=3%2A61%2B61%2Ay\"
\n" ); document.write( "\"40%2A3%2B70y-61y=3%2A61\"
\n" ); document.write( "\"40%2A3%2B9y=3%2A61\"
\n" ); document.write( "\"9y=3%2A61-3%2A40=3%2861-40%29\"
\n" ); document.write( "\"9y=3%2A21\"
\n" ); document.write( "\"y=3%2A3%2A7%2F9\"
\n" ); document.write( "\"highlight%28y=7%29\"
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