Question 1197188

you want to produce {{{40}}} pounds  of a mixture that will sell for ${{{4.25}}} a pound


Let {{{x }}}and {{{40-x}}} represent the amount of the ${{{2.00}}} and ${{{5.00}}} mixtures respectively 


{{{ 2.00x + 5.00(40-x) =4.25*40}}}

Solve for {{{x}}}

{{{200 - 3x=170}}}

{{{200 - 170=3x}}}

  {{{ 30=3x}}}

{{{x=10}}} pounds


answer: {{{10 }}}pounds of the less expensive tea should be used in the mixture