Two identical jats A & B filled with acid solution are mixed together. ratio of the volume of water in jar A is p:1 & in jar B is q:1 . In the mixture ratio of acid to water is:
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Step-by-step explanation:
Given:
Ratio of water and acid in A = 4 ∶ 5
Ratio of water and acid in B = 1 ∶ 2
Calculations:
Taking the ratio of water and acid in A and B in the equal unit,
Ratio of water and acid in A = 4 ∶ 5
Ratio of water and acid in B = 3 ∶ 6
Ratio of water and acid in the mixture = (4x + 3y)/(5x + 6y)
⇒ (4x + 3y)/(5x + 6y) = 8/13
⇒ 52x + 39y = 40x + 48y
⇒ 12x = 9y
⇒ x/y = 9/12
⇒ x/y = 3/4
∴ The ratio of x and y is 3 ∶ 4
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