The ratios of acid and water in vessels A and B are 4 : 5 and 7 : 5, r

1.	The ratios of acid and water in vessels A and B are 4 : 5 and 7 : 5, respectively. In what ratio should the contents of A and B be mixed to get a solution containing 50% acid?1. 4 : 32. 2 : 33. 3 : 24. 3 : 4
Answer» Correct Answer - Option 3 : 3 : 2 Given : The ratios of acid and water in vessels A and B are 4 : 5 and 7 : 5, respectively. Calculations : The ratio of acid to water in vessel A is 4 : 5 Let the total volume of acid and water be 4x and 5x The ratio of acid to water in vessel B is 7 : 5 Let the total volume of acid and water be 7y and 5y According to the question volume of water and acid must be equal So, (4x + 7y) : (5x + 5y) = 1 : 1 ⇒ x = 2y Putv value of x = 2y to get volume Volume of vessel A = 4x + 5x = 9x ⇒ 18y Volume of vessel B = 7y + 5y ⇒ 12y Ratio of vessel A to B Volume of vessel A : Volume of vessel B = 18y : 12y ⇒ 3 : 2 ∴ 3 : 2 will be the ratio at which vessel A and B must be mixed

The ratios of acid and water in vessels A and B are 4 : 5 and 7 : 5, respectively. In what ratio should the contents of A and B be mixed to get a solution containing 50% acid?1. 4 : 32. 2 : 33. 3 : 24. 3 : 4

Answer» Correct Answer - Option 3 : 3 : 2

Given :

The ratios of acid and water in vessels A and B are 4 : 5 and 7 : 5, respectively.

Calculations :

The ratio of acid to water in vessel A is 4 : 5

Let the total volume of acid and water be 4x and 5x

The ratio of acid to water in vessel B is 7 : 5

Let the total volume of acid and water be 7y and 5y

According to the question volume of water and acid must be equal

So,

(4x + 7y) : (5x + 5y) = 1 : 1

⇒ x = 2y

Putv value of x = 2y to get volume

Volume of vessel A = 4x + 5x = 9x

⇒ 18y

Volume of vessel B = 7y + 5y

⇒ 12y

Ratio of vessel A to B

Volume of vessel A : Volume of vessel B = 18y : 12y

⇒ 3 : 2

∴ 3 : 2 will be the ratio at which vessel A and B must be mixed

Discussion

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