Question 1192512
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A typical algebraic solution....<br>
x = kilos of Barako coffee
20-x = kilos of arabica coffee<br>
The total value of the ingredients is equal to the total value of the mixture:<br>
{{{300(x)+200(20-x)=240(20)}}}
{{{300x+4000-200x=4800}}}
{{{100x=800}}}
{{{x=8}}}<br>
ANSWER: 8 kilos of Barako coffee; 12 of arabica coffee<br>
CHECK: 8(300)+12(200)=2400+2400=4800<br>
A quick informal solution, if formal algebra is not required....<br>
The price per pound for the mixture, 240, is 40/100=2/5 of the way from 200 to 300.
Therefore 2/5 of the mixture should be the more expensive barako coffee. 2/5 of 20 kilos is 8 kilos.<br>
ANSWER: 8 kilos of barako; 12 of arabica<br>