document.write( "Question 1067513: A printer has ink that is 3% cobalt blue color and ink that is 7% cobalt blue color. How many ounces of each ink are needed to make 2 gallons (256 ounces) of ink that is 5% cobalt blue color? \r
\n" ); document.write( "\n" ); document.write( "3% cobalt blue color_________oz    
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\n" ); document.write( "\n" ); document.write( "7% cobalt blue color__________oz    
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Algebra.Com's Answer #682682 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+a+\" = ounces of 3% cobalt blue color needed
\n" ); document.write( "Let \"+b+\" = ounces of 7% cobalt blue color needed
\n" ); document.write( "---------------------------------------------------
\n" ); document.write( "(1) \"+a+%2B+b+=+256+\"
\n" ); document.write( "(2) \"+%28+.03a+%2B+.07b+%29+%2F+256+=+.05+\"
\n" ); document.write( "-----------------------------------
\n" ); document.write( "(2) \"+.03a+%2B+.07b+=+.05%2A256+\"
\n" ); document.write( "(2) \"+.03a+%2B+.07b+=+12.8+\"
\n" ); document.write( "(2) \"+3a+%2B+7b+=+1280+\"
\n" ); document.write( "Multiply both sides of (1) by \"+3+\"
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) \"+3a+%2B+7b+=+1280+\"
\n" ); document.write( "(1) \"+-3a+-+3b+=+-768+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "\"+4b+=+512+\"
\n" ); document.write( "\"+b+=+128+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+%2B+b+=+256+\"
\n" ); document.write( "(1) \"+a+%2B+128+=+256+\"
\n" ); document.write( "(1) \"+a+=+128+\"
\n" ); document.write( "--------------------
\n" ); document.write( "128 ounces of 3% cobalt blue color are needed
\n" ); document.write( "128 ounces of 7% cobalt blue color are needed
\n" ); document.write( "--------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%28+.03a+%2B+.07b+%29+%2F+256+=+.05+\"
\n" ); document.write( "(2) \"+%28+.03%2A128+%2B+.07%2A128+%29+%2F+256+=+.05+\"
\n" ); document.write( "(2) \"+%28+3.84+%2B+8.96+%29+%2F+256+=+.05+\"
\n" ); document.write( "(2) \"+12.8+=+.05%2A256+\"
\n" ); document.write( "(2) \"+12.8+=+12.8+\"
\n" ); document.write( "OK
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