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Two identical pitchers contain orange juice from concentrate. in one pitcher, the ratio of cups of concentrate to cups of water is 1 : 2. in the other pitcher, the ratio of cups of concentrate to cups of water is 2 : 3. both pitchers are poured into one large container, and all the juice is mixed together. what fraction of the juice in the large container is made up of concentrate?

Respuesta :

Fraction of the juice in the large container is made up of concentrate is 11/10.

Let the two identical pitchers be A.

Let concentration of orange juice and water be x and y respectively.

Then according to question,

A=1/3x + 2/3y (1st pitcher)

A=2/5x + 3/5y (2nd pitcher)

From these two equations we get x=y.

i.e. A=1/3x+2/3x

 ⇒A=x=y

So total concentration of orange juice is: 1/3x + 2/5x=11/5x=11/5A

Now total concentration of pitchers=A+A=2A

i.e. Required ratio = (11/5A)/2A = 11/10

Therefore Fraction of the juice in the large container is made up of concentrate is 11/10.

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https://brainly.com/question/2242923

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