document.write( "Question 704816: Please help me!!!! \r
\n" ); document.write( "\n" ); document.write( "A store is selling two different types of cheese. One type sells for $3.75 a pound and a second type sells for $4.55 a pound. How many pounds of the $3.75 cheese would the store need to mix together with the $4.55 cheese to get a 45-pound block mixture that sells for $4.05 a pound?
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Algebra.Com's Answer #434288 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+a+\" = pounds of the $3.75/pound cheese needed
\n" ); document.write( "Let \"+b+\" = pounds of the $4.55/pound cheese needed
\n" ); document.write( "given:
\n" ); document.write( "(1) \"+a+%2B+b+=+45+\"
\n" ); document.write( "(2) \"+%28+3.75a+%2B+4.55b+%29+%2F+45+=+4.05+\"
\n" ); document.write( "--------------------------------
\n" ); document.write( "(2) \"+3.75a+%2B+4.55b+=+4.05%2A45+\"
\n" ); document.write( "(2) \"+3.75a+%2B+4.55b+=+182.25+\"
\n" ); document.write( "(2) \"+375a+%2B+455b+=+18225+\"
\n" ); document.write( "Multiply both sides of (1) by \"+375+\"
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) \"+375a+%2B+455b+=+18225+\"
\n" ); document.write( "(1) \"+-375a+-+375b+=+-16875+\"
\n" ); document.write( "\"+80b+=+1350+\"
\n" ); document.write( "\"+b+=+16.875+\"
\n" ); document.write( "and, since
\n" ); document.write( "(1) \"+a+%2B+b+=+45+\"
\n" ); document.write( "(1) \"+a+%2B+16.875+=+45+\"
\n" ); document.write( "(1) \"+a+=+45+-+16.875+\"
\n" ); document.write( "(1) \"+a+=+28.125+\"
\n" ); document.write( "28.125 pounds of the $3.75/pound cheese is needed
\n" ); document.write( "16.875 pounds of the $4.55/pound cheese is needed
\n" ); document.write( "check answer:
\n" ); document.write( "(2) \"+%28+3.75a+%2B+4.55b+%29+%2F+45+=+4.05+\"
\n" ); document.write( "(2) \"+%28+3.75%2A28.125+%2B+4.55%2A16.875+%29+%2F+45+=+4.05+\"
\n" ); document.write( "(2) \"+%28+105.46875+%2B+76.78125+%29+%2F+45+=+4.05+\"
\n" ); document.write( "(2) \"+182.25+=+4.05%2A45+\"
\n" ); document.write( "(2) \"+182.25+=+182.25+\"
\n" ); document.write( "OK\r
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