document.write( "Question 767179: Tom's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Tom $5.10 per pound, and type B coffee costs $4.05 per pound. This month, Tom made 135 pounds of the blend, for a total cost of $624.45 . How many pounds of type B coffee did he use? \n" ); document.write( "
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\n" ); document.write( "Tom's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Tom $5.10 per pound, and type B coffee costs $4.05 per pound. This month, Tom made 135 pounds of the blend, for a total cost of $624.45 . How many pounds of type B coffee did he use?\r
\n" ); document.write( "\n" ); document.write( "Ans:
\n" ); document.write( "Let Tom use x pounds of B coffee. That means he used (135 - x) pounds of A coffee.\r
\n" ); document.write( "\n" ); document.write( "Cost of B coffee = x*4.05
\n" ); document.write( "Cost of A coffee = (135 - x)*5.1 = 688.5 - 5.1*x
\n" ); document.write( "Total cost = 4.05*x + 688.5 - 5.1*x = 624.45\r
\n" ); document.write( "\n" ); document.write( "Simplifying
\n" ); document.write( "688.5 - 1.05*x = 624.45
\n" ); document.write( "1.05*x = 64.05
\n" ); document.write( "x = 61
\n" ); document.write( "135 - x = 74
\n" ); document.write( "So he used 61 pounds of type B and 74 pounds of type A coffee in the blend.\r
\n" ); document.write( "\n" ); document.write( ":)
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