Mixture of coffee

They have to prepare a mixture of coffee in packing centres so that 1 kg costs 240 CZK. There are two types of coffee in stock at the price of 220 CZK per 1 kg and 300 CZK per 1 kg. How many kilograms of each species need to be mixed to prepare 50 kg of the required mixture?

Correct answer:

a =  26.9231
b =  23.0769

Step-by-step explanation:

240(a+b) = 220b +300b

240•(a+b) = 220•b +300•b

240a-280b = 0
a+b = 50

a = 350/13 ≈ 26.923077
b = 300/13 ≈ 23.076923

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