document.write( "Question 1066871: A grocer mixed pecans worth $1.12 per pound with cashews worth $0.60 per pound. If she made 100 pounds of a mixture worth $0.73 per pound, how many pounds of pecans are in the mixture? I have tried many times to solve this problem and I cant get it wrong otherwise I get a 0. If you can give me the equations to use I can solve it easily. I have tried the equation 1.12p+.6c=100*.73 and p+c=100 but I get a repeating decimal that doesnt work. thank you for your time. \n" ); document.write( "
Algebra.Com's Answer #682096 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Here's the way I solve this type of problem:
\n" ); document.write( "Let \"+a+\" = pounds of pecans in mixture
\n" ); document.write( "Let \"+b+\" = pounds of cashews in mixture
\n" ); document.write( "-----------------------------------------
\n" ); document.write( "(1) \"+a+%2B+b+=+100+\"
\n" ); document.write( "(2) \"+%28+1.12a+%2B+.6b+%29+%2F+100+=+.73+\"
\n" ); document.write( "-------------------------------------
\n" ); document.write( "You did the same thing so far
\n" ); document.write( "(2) \"+1.12a+%2B+.6b+=+73+\"
\n" ); document.write( "Multiply both sides by \"+100+\"
\n" ); document.write( "(2) \"+112a+%2B+60b+=+7300+\"
\n" ); document.write( "Divide both sides by \"+4+\"
\n" ); document.write( "(2) \"+28a+%2B+15b+=+1825+\"
\n" ); document.write( "---------------------------------
\n" ); document.write( "Multiply both sides of (1) by \"+15+\"
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) \"+28a+%2B+15b+=+1825+\"
\n" ); document.write( "(1) \"+-15a+-+15b+=+-1500+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "\"+13a+=+325+\"
\n" ); document.write( "\"+a+=+25+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+%2B+b+=+100+\"
\n" ); document.write( "(1) \"+25+%2B+b+=+100+\"
\n" ); document.write( "(1) \"+b+=+75+\"
\n" ); document.write( "----------------------
\n" ); document.write( "25 pounds of pecans in the mixture
\n" ); document.write( "75 pounds of cashews in the mixture
\n" ); document.write( "-----------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%28+1.12a+%2B+.6b+%29+%2F+100+=+.73+\"
\n" ); document.write( "(2) \"+%28+1.12%2A25+%2B+.6%2A75+%29+%2F+100+=+.73+\"
\n" ); document.write( "(2) \"+%28+28+%2B+45+%29+%2F+100+=+.73+\"
\n" ); document.write( "(2) \"+73%2F100+=+.73+\"
\n" ); document.write( "OK
\n" ); document.write( "Sorry I did the whole thing -got carried away
\n" ); document.write( "
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