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A jar contains a blend of a fruit juice and water in the ratio 5 ∶ x. When 1 litre of water is added to 4 litres of the blend the ratio of fruit juice to water becomes 1 ∶ 1. What is the value of x?

A jar contains a blend of a fruit juice and water in the ratio 5 ∶ x. When 1 litre of water is added to 4 litres of the blend the ratio of fruit juice to water becomes 1 ∶ 1. What is the value of x? Correct Answer 3

Given:

Initially, Fruit juice : water = 5 : x

1 lit of water is added to 4 lit of blend.

Finally, Fruit juice : water = 1 : 1

Concept used:

We will be using the concept of ratio.

Calculation: 

A jar contains a blend of a fruit juice and water in the ratio 5 : x

Quantity of fruit juice in 4 litres of blend = 4 = 20/(5 + x)

⇒ Quantity of water in 4 litres of blend = 4 = 4x/(5 + x)

According to questions

20/(5 + x) : {4x/(5 + x) + 1} = 1 : 1

⇒ 20 - 4x = 5 + x

∴ x = 3

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