A coffee shop mixes Brazilian coffee worth $5 per kilogram with Turkish coffee worth $8 per kilogram. The mixture is to sell for $7 per kilogram. How much of the Turkish coffee should be used to make 300 kg of the mixture?

Answers

Answer 1

Answer: $Brazilian-5$\ per\ kg\n\n Turkish-\ 8$\ per\ kg\n\n x-amount\ of\ Brazilian\ coffee\n y-amount\ of\ Turkish\ coffee\n\n x*5+(1-x)*8=7\n 5x+8-8x=7\n -3x=-1\n x=1/3\n y=2/3\n\n To\ make\ 300kg\ we\ need:\ (from\ proportion)\n (2)/(3)-1kg\ \ \ to\ make\ 1kg\ we\ need\ (2)/(3)\ Turkish\ coffee\n a\ \ \ -300kg\ \ \ to \ make\ 300kg\ we\ need\ a\ Turkish\ coffee\n 300*(2)/(3)=a\n a=200kg\ \ He\ need\ 200kg\ Turkish\ coffee.$

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