Question 447594
{{{S+C=50}}} pounds of sumatra + pounds of colombian
{{{2.50S+3.75C=3.35(50)}}} Price of sumatra * pounds of sumatra + price of colombian * pounds of colombian = price of mixture * total pounds
Take first equation and solve for either letter-I'll choose S.
{{{S=50-C}}}
Substitute 50-C in for S in the second equation
{{{2.50(50-C)+3.75C=167.5}}} distribute the 2.50
{{{125-2.50C+3.75C=167.5}}} combine like terms
{{{125+1.25C=167.5}}} subtract 125 from both sides
{{{1.25C=42.5}}} divide by 1.25
{{{C=34}}} So 34 pounds of colombian coffee, leaving 16 pounds of sumatra coffee.