We want to prepare 5 kg of sweets for 150 CZK. We will mix cheaper candy: 1 kg for 120 CZK and more expensive candy: 1 kg per 240 CZK. How many of these two candy types are necessary to prepare this mixture?

Correct answer:

a =  3.75 kg
b =  1.25 kg

Step-by-step explanation:

a+b=5 120a+240b=5 150  a+b=5 120 a+240 b=5 150  a+b=5 120a+240b=750  Pivot:Row1Row2 120a+240b=750 a+b=5  Row21201 Row1Row2 120a+240b=750 b=1.25  b=11.25=1.25 a=120750240b=120750240 1.25=3.75=3.75 kg  a=415=3.75 b=45=1.25

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