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

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

Initial ratio = 5 ∶ x

After adding 1 liter of water to the 4 Lit of blend, the final quantity of the blend becomes 5 Lit

Final Ratio = 1 ∶ 1

⇒ Value of 2 = 5 Lit

⇒ Quantity of juice = Quantity of water in the blend = 2.5 Lit

Since the Quantity of juice is same,

⇒ Quantity of juice in initial mixture = 2.5 Lit

⇒ Quantity of water in initial mixture = 1.5 Lit

⇒ Initial total quantity = 4 Lit

4 Lit in mixed in the ratio = 2.5 ∶ 1.5 = 5 ∶ 3

∴ Value of x = 3

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