document.write( "Question 747390: Ryan's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Ryan $5.95per pound, and type B coffee costs $4.65 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of$320.25 . How many pounds of type A coffee were used?\r
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Algebra.Com's Answer #454896 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = pounds of type A coffee used
\n" ); document.write( "Let \"+b+\" = pounds of type B coffee used
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\n" ); document.write( "given:
\n" ); document.write( "(1) \"+b+=+2a+\"
\n" ); document.write( "(2) \"+5.95a+%2B+4.65b+=+320.25+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "(2) \"+595a+%2B+465b+=+32025+\"
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+595a+%2B+465%2A2a+=+32025+\"
\n" ); document.write( "(2) \"+595a+%2B+930a+=+32025+\"
\n" ); document.write( "(2) \"+1525a+=+32025+\"
\n" ); document.write( "(2) \"+a+=+21+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+b+=+2a+\"
\n" ); document.write( "(1) \"+b+=+42+\"
\n" ); document.write( "21 pounds of type A coffee were used\r
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\n" ); document.write( "check:
\n" ); document.write( "(2) \"+5.95a+%2B+4.65b+=+320.25+\"
\n" ); document.write( "(2) \"+5.95%2A21+%2B+4.65%2A42+=+320.25+\"
\n" ); document.write( "(2) \"+124.95+%2B+195.3+=+320.25+\"
\n" ); document.write( "(2) \"+320.25+=+320.25+\"
\n" ); document.write( "OK\r
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