Answered

Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

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?

Sagot :

luana
[tex]Brazilian-5$\ per\ kg\\\\ Turkish-\ 8$\ per\ kg\\\\ x-amount\ of\ Brazilian\ coffee\\ y-amount\ of\ Turkish\ coffee\\\\ x*5+(1-x)*8=7\\ 5x+8-8x=7\\ -3x=-1\\ x=1/3\\ y=2/3\\\\ To\ make\ 300kg\ we\ need:\ (from\ proportion)\\ \frac{2}{3}-1kg\ \ \ to\ make\ 1kg\ we\ need\ \frac{2}{3}\ Turkish\ coffee\\ a\ \ \ -300kg\ \ \ to \ make\ 300kg\ we\ need\ a\ Turkish\ coffee\\ 300*\frac{2}{3}=a\\ a=200kg\ \ He\ need\ 200kg\ Turkish\ coffee.[/tex]
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.