Mixture of coffee

They have to prepare a mixture of coffee in packing centers, so 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 =  37.5 kg
b =  12.5 kg

Step-by-step explanation:

m=50 kg  240 m=220a+300b a+b=m 240 50=220a+300b a+b=50  240 50=220 a+300 b a+b=50  220a+300b=12000 a+b=50  Row22201 Row1Row2 220a+300b=12000 0.36b=4.55  b=0.363636364.54545455=12.5 a=22012000300b=22012000300 12.5=37.5=37.5 kg  a=275=37.5 b=225=12.5

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