Prepare

From two types of tea priced at 1500,-Sk and 2100,- Sk per kg, 29 kg of a mixture is to be prepared for 1650 per 1 kg. How many kilograms of each type of tea should be mixed?

Correct answer:

a =  21.75 kg
b =  7.25 kg

Step-by-step explanation:

a 1500+b 2100=1650 (a+b) a+b=29  150a450b=0 a+b=29  Row21150 Row1Row2 150a450b=0 4b=29  b=294=7.25 a=0+450b150=0+450 7.25150=21.75=21.75 kg  a=874=21.75 b=294=7.25a \cdot \ 1500 + b \cdot \ 2100 = 1650 \cdot \ (a+b) \ \\ a+b = 29 \ \\ \ \\ 150a-450b = 0 \ \\ a+b = 29 \ \\ \ \\ Row 2 - \dfrac{ 1 }{ 150 } \cdot \ Row 1 → Row 2 \ \\ 150a-450b = 0 \ \\ 4b = 29 \ \\ \ \\ b = \dfrac{ 29 }{ 4 } = 7.25 \ \\ a = \dfrac{ 0+450b }{ 150 } = \dfrac{ 0+450 \cdot \ 7.25 }{ 150 } = 21.75 = 21.75 \ \text{kg} \ \\ \ \\ a = \dfrac{ 87 }{ 4 } = 21.75 \ \\ b = \dfrac{ 29 }{ 4 } = 7.25



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