document.write( "Question 97395This question is from textbook Algebra Beginning and Intermediate
\n" ); document.write( ": How many pounds of tea that cost $4.20 per pound must be mixed with 12 lb of tea that cost $2.25 per pound to make a mixture that costs $3.40 per pound? \n" ); document.write( "

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How many pounds of tea that cost $4.20 per pound must be mixed with 12 lb of tea that cost $2.25 per pound to make a mixture that costs $3.40 per pound?
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\n" ); document.write( "Let x = amt of $4.20 tea
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\n" ); document.write( "It says it will be mixed with 12 lb, therefore:
\n" ); document.write( "Resulting amt = (x+12)
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\n" ); document.write( "4.2x + 2.25(12) = 3.4(x+12)
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\n" ); document.write( "4.2x + 27 = 3.4x + 40.8
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\n" ); document.write( "4.2x - 3.4x = 40.8 - 27
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\n" ); document.write( ".8x = 13.8
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\n" ); document.write( "x = 13.8/.8
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\n" ); document.write( "x = 17.25 lb of $4.20 tea required
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\n" ); document.write( "Check:
\n" ); document.write( "4.2(17.25) + 2.25(12) = 3.4(17.25+12)
\n" ); document.write( "72.45 + 27 = 3.4(29.25)
\n" ); document.write( " 99.45 = 99.45, confirm our solution of x = 17.25
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