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How many litres of water will have to be added to 1125 litres

Question

How many litres of water will have to be added to $1125$ litres of the $45%$ solution of acid so that the resulting mixture will contain more than $25%$ but less than $30%$ acid content?

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How many litres of water will have to be added to

1125

litres of the

45%

solution of acid so that the resulting mixture will contain more than

25%

but less than

30%

acid content?

12 mins ago

Discuss this question LIVE

12 mins ago

Text solutionVerified

Let's add x litres of water

Now if the solution is 45% acid then it is 55% water.

Equating water in initial and final solution, When solution is 25% acid:

x + 0.55 (1125) = 0.75 (x + 1125)

x + 618.75 = 0.75 x + 843.75

0.25 x = 225

x = 900

(to get 25% of acidic solution)

Equating water in initial and final solution, When solution is 30% acid:

x + 0.55 (1125) = 0.7 (x + 1125)

x + 618.75 = 0.7 x + 787.5

0.3 x = 168.75

x = 562.5

(to get 30% of acidic solution)

i.e

562.5 < x < 900

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Question Text	How many litres of water will have to be added to $1125$ litres of the $45%$ solution of acid so that the resulting mixture will contain more than $25%$ but less than $30%$ acid content?
Answer Type	Text solution:1
Upvotes	150