Fruit juice

Fruit juice contains 37.5% sugar. How many percents of sugar will be in the flavored mineral that we prepare from 100 grams of fruit juice and 1.4 liters of mineral? (1 liter = 1 kg)

Result

p =  2.5 %

Solution:

c=37.5100 100=752=37.5 g m=100+1400=1500 g p=100 cm=100 37.51500=52=2.5=2.5%c=\dfrac{ 37.5 }{ 100 } \cdot \ 100=\dfrac{ 75 }{ 2 }=37.5 \ \text{g} \ \\ m=100 + 1400=1500 \ \text{g} \ \\ p=100 \cdot \ \dfrac{ c }{ m }=100 \cdot \ \dfrac{ 37.5 }{ 1500 }=\dfrac{ 5 }{ 2 }=2.5=2.5 \%



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