Question 235209
Let {{{x}}} = lbs of $6 cofee needed
 {{{100}}} = lbs of $14 coffee needed
{{{(6x + 100*14) / (x + 100) = 8}}}
{{{6x + 1400 = 8*(x + 100)}}}
{{{6x + 1400 = 8x + 800}}}
{{{2x = 600}}}
{{{x = 300}}}
300 pounds of the $6 coffee are needed
check:
{{{(6x + 100*14) / (x + 100) = 8}}}
{{{(6*300 + 100*14) / (300 + 100) = 8}}}
{{{(1800 + 1400)/400 = 8}}}
{{{3200/400 = 8}}}
{{{8 = 8}}}
OK