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Q.

A chemist has one solution, which is 50% acid and the second which is 25% acid. How much of each should be mixed to form 10 litres of 40% acid solutions


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a

6 litres of the first solution and 4 litres of the second solution

b

7 litres of the first solution and 4 litres of the second solution

c

6 litres of the first solution and 5 litres of the second solution

d

7 litres of the first solution and 3 litres of the second solution 

answer is A.

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Detailed Solution

Concept- We can acquire linear equations that correspond to the question by assigning variables to the required values of respective liquids and use these to calculate the assumed values of the respective
s.
Consider Question Image as the amount of first
andQuestion Image as the amount of seconds to be taken.
The amount of acid in Question Imageand another Question Image has to be water.
The amount of water Question Image.
The amount of acid in Question ImageThe amount of water in Question ImageThe total amount of acid required in final
Question Image litres and
The remaining 6 litres will be water.
Therefore,Question ImageOr, Question ImageSimilarly for water,
Question ImageWhen substituting the value of Question Image from (1) into (2), we get
Question ImageQuestion ImageQuestion ImageQuestion ImageAs a result, 6 litres of the first
and 4 litres of the second
should be combined to make the required acid .
Hence, the correct answer is option 1) 6 litres of the first
and 4 litres of the second .
  of a Linear Equation
of a Linear Equation
 
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