Question 24135
Let x = the number of lbs of coffee selling for $2.00/lb. You want to mix x lbs of $2.00 coffee beans with 6 lbs of $2.80 coffee beans to obtain a mixture of (6+x) lbs of $2.48 coffee beans. Let's set up the appropriate equation to solve this mystery: 

{{{x(2) + 6(2.8) = (6+x)(2.48)}}} Simplify and solve for x.
{{{2x + 16.8 = 14.88 + 2.48x}}} Subtract 2x from both sides of the equation.
{{{16.8 = 14.88 + 0.48x}}} Subtract 14.88 from both sides.
{{{1.92 = 0.48x}}} Finally, divide both sides by 0.48
{{{1.92/0.48 = x}}}
{{{x = 4}}}

You will need to mix 4 lbs of the $2.00 coffee beans with 6 lbs of the $2.80 coffee beans to obtain 10 lbs of $2.48 coffee bean mixture.