Question

In a juice corner a juice maker mixes 48 litre of Orange juice with 144 litre of Pineapple
juice in a vessel. X litre of total mixture is taken out and 32 litre Orange Juice and 48
litre Pineapple juice are added in the mixture. The final mixture contains 30% Orange
juice, find the quantity of the mixture that is taken out.

Answer 1

Answer:32litres

Step-by-step explanation:

Initially 1/4 of the mixture is orange juice which is 48lt.From that x litres are drawn.

Making it 48-X*(1/4).To it 32 litres of orange juice is added.Making total concentration equal to 30% of 272-X.

48-X/4+32=30%(272-X).

We get X=32lit

Answer 2

Given:

The quantity of orange juice= 48 l

The quantity of pineapple juice= 144 l

 The quantity of orange juice added in the mixture =32 l

The quantity of pineapple juice added in the mixture =48 l

The final mixture contains 30% Orange  juice

To find:

Quantity of the mixture take out

Solution:

The total quantity of juice = (48+144) = 192 litres

X liters from the mixture has the same ratio of the orange juice to the pineapple juice as in the earlier mixture

Ratio =  48 : 144 = 1: 3

Using the ratio principle,

The amount of orange juice taken out=

Parts of orange juice / Parts of orange juice 9 pineapple juice

= (48X /(48+144) = 48X/192 = X/4

The amount of juice removed = (quantity of juice/total mixture) X mixture taken out

The orange juice left in the mixture= (48 - (X/4) + 32)= 80-(X/4)

The total mixture=48 + 144 + 32 + 48-X = 272-X

Percentage of orange juice = (80- (X/4) ) / (272-X)

According to the question, % of orange juice = 30%

⇒ 30/100 = (320-X)/(1088-4X)

On solving

we get X=32l

Hence, 32l of the mixture was taken out.