document.write( "Question 585605: A solution of 75% pesticide is to be mixed with a solution of 35% pesticide to form 440 liters of a 43% solution. How many liters of the 75% solution must be used? \n" ); document.write( "
Algebra.Com's Answer #373426 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = liters of 75% pesticide needed
\n" ); document.write( "Let \"+b+\" = liters of 35% pesticide needed
\n" ); document.write( "given:
\n" ); document.write( "(1) \"+a+%2B+b+=+440+\"
\n" ); document.write( "(2) \"+%28+.75a+%2B+.35b+%29+%2F+440+=+.43+\"
\n" ); document.write( "-----------------------------
\n" ); document.write( "(2) \"+.75a+%2B+.35b+=+.43%2A440+\"
\n" ); document.write( "(2) \"+.75a+%2B+.35b+=+189.2+\"
\n" ); document.write( "(2) \"+75a+%2B+35b+=+18920+\"
\n" ); document.write( "(2) \"+15a+%2B+7b+=+3784+\"
\n" ); document.write( "Multiply both sides of (1) by \"+7+\"
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) \"+15a+%2B+7b+=+3784+\"
\n" ); document.write( "(1) \"+-7a+-+7b+=+-3080+\"
\n" ); document.write( "\"+8a+=+704+\"
\n" ); document.write( "\"+a+=+88+\"
\n" ); document.write( "and, since
\n" ); document.write( "(1) \"+a+%2B+b+=+440+\"
\n" ); document.write( "(1) \"+88+%2B+b+=+440+\"
\n" ); document.write( "(1) \"+b+=+440+-+88+\"
\n" ); document.write( "(1) \"+b+=+352+\"
\n" ); document.write( "88 liters of 75% pesticide are needed
\n" ); document.write( "352 liters of 35% pesticide are needed
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%28+.75%2A88+%2B+.35%2A352+%29+%2F+440+=+.43+\"
\n" ); document.write( "(2) \"+%28+66+%2B+123.2+%29+%2F+440+=+.43+\"
\n" ); document.write( "(2) \"+189.2+%2F+440+=+.43+\"
\n" ); document.write( "(2) \"+189.2+=+.43%2A440+\"
\n" ); document.write( "(2) \"+189.2+=+189.2+\"
\n" ); document.write( "OK
\n" ); document.write( "
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