document.write( "Question 133520: 5 Kg of tea and 8 Kg of coffee cost $58. The price of tea increases by 15% and that of coffee by 10%. The new total is $65.30. What are the new prices for 1 Kg of tea and 1 Kg of coffee?
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Algebra.Com's Answer #97705 by ankor@dixie-net.com(22740)\"\" \"About 
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5 Kg of tea and 8 Kg of coffee cost $58. The price of tea increases by 15% and that of coffee by 10%. The new total is $65.30. What are the new prices for 1 Kg of tea and 1 Kg of coffee?
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\n" ); document.write( "Let x = original price of tea
\n" ); document.write( "Let y = original price of coffee:
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\n" ); document.write( "Write two equations:
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\n" ); document.write( "Original cost equation:
\n" ); document.write( "5x + 8y = 58
\n" ); document.write( "5x = 58 - 8y
\n" ); document.write( "x = \"%28%2858-8y%29%29%2F5\"
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\n" ); document.write( "New cost equation:
\n" ); document.write( "5(1.15x) + 8(1.1y) = 65.30
\n" ); document.write( "5.75x + 8.8y = 65.30
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\n" ); document.write( "Replace x in the above equation with \"%28%2858-8y%29%29%2F5\"
\n" ); document.write( "5.75\"%28%2858-8y%29%29%2F5\" + 8.8y = 65.30
\n" ); document.write( "Cancel 5 into 5.75
\n" ); document.write( "1.15(58-8y) + 8.8y = 65.30
\n" ); document.write( "66.7 - 9.2y + 8.8y = 65.30
\n" ); document.write( "-9.2y + 8.8y = 65.30 - 66.7
\n" ); document.write( "-.4y = -1.4
\n" ); document.write( "y = $3.50 original cost of the coffee
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\n" ); document.write( "Then: 1.1 * 3.50 = $3.85 new cost of the coffee
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\n" ); document.write( "Find original cost of the tea
\n" ); document.write( "5x + 8(3.5) = 58
\n" ); document.write( "5x + 28 = 58
\n" ); document.write( "5x = 58 - 28
\n" ); document.write( "x = 30/5
\n" ); document.write( "x = $6.00 original cost of the tea
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\n" ); document.write( "Then: 1.15 * 6 = $6.90 new cost of the tea
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\n" ); document.write( "Check solutions by finding the new total
\n" ); document.write( "5(6.9) + 8(3.85) =
\n" ); document.write( "34.5 + 30.8 = 65.30 confirms our solutions
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