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How many kg of brand A coffee must be mixed with 126 kg of brand B coffee such that the cost of the mixture is rupees 24 per kg? The per kg prices of A and B are rupees 36.60 and rupees 17.10, respectively.

A) 54 kg
B) 63 kg
C) 72 kg
D) 81 kg

Answer :

Final answer:

To attain a mixture of Brand A and Brand B coffee costing ₹24 per kg, 81 kg of Brand A coffee must be mixed with 126 kg of Brand B coffee.

Explanation:

In this problem, based on unit rate or price, we need to find the quantity of Brand A Coffee to mix with 126 kg of Brand B Coffee, so that the total price per kg of the mixture is ₹24. Let's denote the quantity of brand A coffee as 'x'.

Given that price of brand A Coffee is ₹36.6, and price of brand B coffee is ₹17.1. Hence, the total cost of x kg of brand A and 126 kg of brand B respectively would be (36.6x + 17.1*126) rupees. The total mass of the mixture is (x+126) kg.

Since it is given that the cost of the mixture per kg is ₹24, we can set up an equation using this information. That is, (36.6x+ 17.1*126)/(x+126) = 24. By solving this equation, we find x = 81 kg. Therefore, 81 kg of brand A coffee must be mixed with 126 kg of brand B coffee to get a mixture costing ₹24 per kg.

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