CBSE Class 7 Answered

ACID AND WATER ARE IN THE RATIO OF 3:2 TO MAKE 100 LITRE MIXTURE. hOW MANY LITRE OF ACID SHOULD BE ADDED TO CHANGE THE RATIO 3:1

Asked by Nimmi | 20 Jan, 2019, 11:14: AM

Expert Answer

ACID AND WATER ARE IN THE RATIO OF 3:2 TO MAKE 100 LITRE MIXTURE.

begin mathsize 16px style Quantity space of space Acid space equals space 3 over 5 cross times 100 space equals space 60 Quantity space of space Water space equals space 2 over 5 cross times 100 space equals space 40 end style

Lets remove x litres of mixture and add x litre of acid.

So the final acid quantity =

begin mathsize 16px style 60 space minus space 3 over 5 straight x space plus space straight x end style

and the final water quantity =

Error converting from MathML to accessible text.

Now we have to find the quantity of Acid to change the ratio 3:1.

begin mathsize 16px style fraction numerator 60 space minus space begin display style 3 over 5 end style straight x space plus space straight x over denominator 40 space minus 2 over 5 space straight x end fraction space equals space 3 over 1 rightwards double arrow fraction numerator 300 space minus space 3 straight x space plus space 5 straight x over denominator 200 space minus space 2 straight x end fraction equals space fraction numerator begin display style 3 end style over denominator begin display style 1 end style end fraction rightwards double arrow fraction numerator 2 straight x space plus space 300 over denominator 200 space minus space 2 straight x end fraction equals space fraction numerator begin display style 3 end style over denominator begin display style 1 end style end fraction rightwards double arrow 2 straight x space plus space 300 space equals space 600 space minus space 6 straight x rightwards double arrow 8 straight x space equals space 300 rightwards double arrow straight x space equals space 37.5 end style

Answered by Yasmeen Khan | 21 Jan, 2019, 02:00: PM

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