Lemonade

Iva added one liter of 100% fruit juice to 3 liters of water. She left two liters of it for Alice and Beata. She added two more liters of water to the remain two liters of lemonade and offered it to other friends.
a. What percentage of juice did Alena and Beata drink?
b. What percentage of juice did other friends drink?

Result

p1 =  25 %
p2 =  12.5 %

Solution:

S=1 l V=3 l  p1=100 SS+V=100 11+3=25=25%S=1 \ \text{l} \ \\ V=3 \ \text{l} \ \\ \ \\ p_{1}=100 \cdot \ \dfrac{ S }{ S+V }=100 \cdot \ \dfrac{ 1 }{ 1+3 }=25=25 \%
V2=2 l  p2=100 S/2(S+V)/2+V2=100 1/2(1+3)/2+2=252=12.5=12.5%V_{2}=2 \ \text{l} \ \\ \ \\ p_{2}=100 \cdot \ \dfrac{ S/2 }{ (S+V)/2 + V_{2} }=100 \cdot \ \dfrac{ 1/2 }{ (1+3)/2 + 2 }=\dfrac{ 25 }{ 2 }=12.5=12.5 \%



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