document.write( "Question 885821: A solution of 64% fertilizer is to be mixed with a solution of 22% fertilizer to form 84 L of a 57% solution. How many liters of the 64% solution must be used? I have a lot of questions like this on my homework and if i could just have the answer to this one and see it all worked out i could do the rest! thanks!! \n" ); document.write( "
Algebra.Com's Answer #535463 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+a+\" = liters of the 64% fertilizer needed
\n" ); document.write( "Let \"+b+\" = liters of the 22% fertilizer needed
\n" ); document.write( "----------------------------------------
\n" ); document.write( "(1) \"+a+%2B+b+=+84+\"
\n" ); document.write( "(2) \"+%28%28+.64a+%2B+.22b+%29%29+%2F+84+=+.57+\"
\n" ); document.write( "-------------------------------
\n" ); document.write( "(2) \"+.64a+%2B+.22b+=+.57%2A84+\"
\n" ); document.write( "(2) \"+.64a+%2B+.22b+=+47.88+\"
\n" ); document.write( "(2) \"+64a+%2B+22b+=+4788+\"
\n" ); document.write( "(2) \"+32a+%2B+11b+=+2394+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "Multiply both sides of (1) by \"+32+\"
\n" ); document.write( "and subtract (2) from (1)
\n" ); document.write( "(1) \"+32a+%2B+32b+=+2688+\"
\n" ); document.write( "(2) \"+-32a+-+11b+=+-2394+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "\"+21b+=+294+\"
\n" ); document.write( "\"+b+=+14+\"
\n" ); document.write( "and, since
\n" ); document.write( "(1) \"+a+%2B+b+=+84+\"
\n" ); document.write( "(1) \"+a+=+84+-+14+\"
\n" ); document.write( "(1) \"+a+=+70+\"
\n" ); document.write( "70 liters of the 64% solution are needed
\n" ); document.write( "-------------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%28+.64a+%2B+.22b+%29+%2F+84+=+.57+\"
\n" ); document.write( "(2) \"+%28+.64%2A70+%2B+.22%2A14+%29+%2F+84+=+.57+\"
\n" ); document.write( "(2) \"+%28+44.8+%2B+3.08+%29+%2F+84+=+.57+\"
\n" ); document.write( "(2) \"+47.88+=+.57%2A84+\"
\n" ); document.write( "(2) \"+47.88+=+47.88+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );