SOLUTION: Barako coffee worth ₱300.00 per kilo is mixed with arabica coffee worth ₱200.00 per kilo. How many kilos of each coffee should be used to obtain 20 kilos of a mixture worth ₱
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Question 1192512: Barako coffee worth ₱300.00 per kilo is mixed with arabica coffee worth ₱200.00 per kilo. How many kilos of each coffee should be used to obtain 20 kilos of a mixture worth ₱240.00 per kilo?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
A typical algebraic solution....
x = kilos of Barako coffee
20-x = kilos of arabica coffee
The total value of the ingredients is equal to the total value of the mixture:
ANSWER: 8 kilos of Barako coffee; 12 of arabica coffee
CHECK: 8(300)+12(200)=2400+2400=4800
A quick informal solution, if formal algebra is not required....
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.
ANSWER: 8 kilos of barako; 12 of arabica
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