Respuesta :
The fraction of the liquid in large container is grapefruit juice [tex]\frac{11}{15}[/tex] .
What is mixture and alligation?
A mixture, as the name suggests is mixing two or more things together and alligation enables us to find the ratio in which the ingredients/ things have been mixed and at what price they are sole to earn profit or face loss.
According to the question
Pitcher A is 1/3 full with grapefruit juice
and rest is Pitcher A is 2/3 full with water .
Pitcher B is 2/5 full with grapefruit juice
and rest is Pitcher B is 3/5 full with water .
Now,
The contents of both pitchers are poured into one large bowl
Therefore fraction of the liquid is grapefruit juice is
= fraction of grapefruit juice in pitcher A + fraction of grapefruit juice in pitcher B
= [tex]\frac{1}{3} + \frac{2}{5}[/tex]
= [tex]\frac{5+6}{15}[/tex]
= [tex]\frac{11}{15}[/tex]
Hence, the fraction of the liquid is grapefruit juice is [tex]\frac{11}{15}[/tex] .
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