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A coffee shop mixes Brazilian worth 5 per kilogram with Turkish 8 The mixture is to sell for 7 How much of the should be used mak?
Let x kg of Brazilian coffee be used. Then, (10 - x) kg of Turkish coffee will be used.
Cost price of Brazilian coffee = 5x
Cost price of Turkish coffee = 8(10 - x)
Total cost price = 5x + 8(10 - x)
= 5x + 80 - 8x
= -3x + 80
Selling price of the mixture = 7(10) = 70
Profit = Selling price - Cost price
= 70 - (-3x + 80)
= 70 + 3x - 80
= 3x - 10
For making profit, Profit > 0
=> 3x - 10 > 0
=> 3x > 10
=> x > 10/3
=> x > 3.33
Therefore, more than 3.33 kg of Brazilian coffee should be used.
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