document.write( "Question 823376: A 90% dye solution is to be mixed with 75% dye solution to get 120 liters of a 78% dye solution. How many liters of the 90% and 75% solution will be needed. I know the short cut to get answer but I don't know how to break equation down step by step. \n" ); document.write( "
Algebra.Com's Answer #495706 by josgarithmetic(39618)\"\" \"About 
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{Amount of dye}/{Amount of solution}={concentration}\r
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\n" ); document.write( "\n" ); document.write( "Let u = how much volume of the 90%
\n" ); document.write( "Let v = how much volume of the 75%\r
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\n" ); document.write( "\n" ); document.write( "Amount of dye: \"u%2A90%2Bv%2A75\", being 100 times larger than actual\r
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\n" ); document.write( "\n" ); document.write( "Amount of dye solution: \"u%2Bv=120\", which is also one of your system equations.\r
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\n" ); document.write( "\n" ); document.write( "The other system equation is \"%2890u%2B75v%29%2F120=78\", which is based directly on the first expression explained.
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