document.write( "Question 183449This question is from textbook
\n" ); document.write( ": A STORE SELLS FOOD IN BULK. CASHEWS SELL FOR $7.95 PER POUND AND RAISINS SELL FOR $1.95 PER POUND. IF HELEN PAYS $20.70 FOR A 6 POUND MIXTURE OF CASHEWS AND RAISINS, HOW MUCH OF EACH ITEM DID SHE BUY? \n" ); document.write( "
Algebra.Com's Answer #137712 by josmiceli(19441)\"\" \"About 
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Let \"c\"= pounds of cashews bought
\n" ); document.write( "Let \"r\"= pounds of raisins bought
\n" ); document.write( "given:
\n" ); document.write( "(1) \"c+%2B+r+=+6\" lb
\n" ); document.write( "(2) \"795c+%2B+195r+=+2070\" (numbers are cents)
\n" ); document.write( "2 equations and 2 unknowns mean it's solvable
\n" ); document.write( "----------------------------
\n" ); document.write( "Multiply both sides of (1) by 195 and subtract it
\n" ); document.write( "from (2)
\n" ); document.write( "(2) \"795c+%2B+195r+=+2070\"
\n" ); document.write( "(1) \"-195c+-+195r+=+-1170\"
\n" ); document.write( "(3) \"600c+=+900\"
\n" ); document.write( "(3) \"c+=+1.5\"
\n" ); document.write( "Plug this result back into (1)
\n" ); document.write( "(1) \"1.5+%2B+r+=+6\"
\n" ); document.write( "(1) \"r+=+4.5\"
\n" ); document.write( "She bought 1.5 lb of cashews and 4.5 lb of raisins
\n" ); document.write( "check answer:
\n" ); document.write( "(2) \"795c+%2B+195r+=+2070\"
\n" ); document.write( "(2) \"795%2A1.5+%2B+195%2A4.5+=+2070\"
\n" ); document.write( "(2) \"1192.5+%2B+877.5+=+2070\"
\n" ); document.write( "(2) \"2070+=+2070\"
\n" ); document.write( "OK
\n" ); document.write( "
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