document.write( "Question 1144658: A store is having a sale on jelly beans and almonds. For 7 pounds of jelly beans and 9 pounds of almonds, the total cost is $46 . For 5 pounds of jelly beans and 3 pounds of almonds, the total cost is $20 . Find the cost for each pound of jelly beans and each pound of almonds. \n" ); document.write( "
Algebra.Com's Answer #765834 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = cost of a pound of jelly beans
\n" ); document.write( "Let \"+b+\" = cost of a pound of almonds
\n" ); document.write( "-------------------------------------------------
\n" ); document.write( "(1) \"+7a+%2B+9b+=+46+\"
\n" ); document.write( "(2) \"+5a+%2B+3b+=+20+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "Multiply both sides of (2) by \"+3+\" and
\n" ); document.write( "subtract (1) from (2)
\n" ); document.write( "(2) \"+15a+%2B+9b+=+60+\"
\n" ); document.write( "(1) \"+-7a+-+9b+=+-46+\"
\n" ); document.write( "-----------------------------
\n" ); document.write( "\"+8a+=+14+\"
\n" ); document.write( "\"+a+=+1.75+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+5%2A1.75+%2B+3b+=+20+\"
\n" ); document.write( "(2) \"+8.75+%2B+3b+=+20+\"
\n" ); document.write( "(2) \"+3b+=+11.25+\"
\n" ); document.write( "(2) \"+b+=+3.75+\"
\n" ); document.write( "----------------------
\n" ); document.write( "Jelly beans: $1.75 /lb
\n" ); document.write( "Almonds: $3.75 /lb
\n" ); document.write( "--------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+7%2A1.75+%2B+9%2A3.75+=+46+\"
\n" ); document.write( "(1) \"+12.25+%2B+33.75+=+46+\"
\n" ); document.write( "(1) \"+46+=+46+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );