SOLUTION: A merchant sells cashews for 30,000 TL kilogram and Brazil nuts for 45,000 TL per kilogram. He wants to mix the nuts to get 20 kg of a mixture worth 36,000 TL kilogram. How many ki

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Question 316288: A merchant sells cashews for 30,000 TL kilogram and Brazil nuts for 45,000 TL per kilogram. He wants to mix the nuts to get 20 kg of a mixture worth 36,000 TL kilogram. How many kilogram of each kind of nut does he need?
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
A merchant sells cashews for 30,000 TL per kilogram and Brazil nuts for 45,000 TL per kilogram. He wants to mix the nuts to get 20 kg of a mixture worth 36,000 TL kilogram. How many kilogram of each kind of nut does he need?

                 kilograms   price/kg   worth in TL       
----------------------------------------------------
Cashews              x        30000          30000x
Brazil nuts        20-x       45000     45000(20-x)  
Mixture             20        36000       36000(20)

 (Worth in TL of cashews) + (Worth in TL of Brazil nuts) = (Worth in TL of mixture)

                                    30000x + 45000(20-x) = 20(36000)
                                30000x + 900000 - 45000x = 720000
                                                 -15000x = -180000 
                                                       x = %28-180000%29%2F%28-15000%29
                                                       x = 12

Answer:   12 kg Cashews and 20-x = 20-12 = 8 kg Brazil nuts.

Edwin