document.write( "Question 907145: Hans's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Hans $4.10 per pound, and type B coffee costs $5.35 per pound. This month's blend used $\"three+times\"$ as many pounds of type B coffee as type A, for a total cost of $785.85 . How many pounds of type A coffee were used? \n" ); document.write( "

Algebra.Com's Answer #550174 by richwmiller(17219) $\"\"$ $\"About$

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We know that the cost for the two blends is $785.85
\n" ); document.write( "5.35*x+4.10*y=785.85
\n" ); document.write( "We know that the blend at $5.35 has 3 times the amount at $4.10
\n" ); document.write( "We substitute for x
\n" ); document.write( "5.35*(3*y)+4.10*y=785.85
\n" ); document.write( "We multiply out
\n" ); document.write( "(16.05+4.10)*y=785.85
\n" ); document.write( "We combine like terms.
\n" ); document.write( "20.15*y=785.85
\n" ); document.write( "Isolate y
\n" ); document.write( "y= 39
\n" ); document.write( "y= 39 lbs at $4.10
\n" ); document.write( "Calculate x
\n" ); document.write( "x=3*y
\n" ); document.write( "x=117 lbs at $5.35
\n" ); document.write( "Your total for x is 117 lbs
\n" ); document.write( "Your total for y is 39 lbs
\n" ); document.write( "Your total for x and y is 156 lbs
\n" ); document.write( "Total mixed 117 + 39=156 lbs
\n" ); document.write( "We check
\n" ); document.write( "5.35*117+4.10*39=785.85
\n" ); document.write( " 625.95+159.90=785.85
\n" ); document.write( "785.85=785.85
\n" ); document.write( "Since this statement is TRUE and neither is negative then all is well.
\n" ); document.write( " \n" ); document.write( "

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