Question
Download Solution PDFTwo jars A and B are containing the solutions of two liquids P and Q. The ratio of the liquids P and Q in the jars A and B are 2 ∶ 19 and 1 ∶ 11, respectively. If 7 litres of the solution of jar A and 4 litres of the solution of jar B are mixed, what is the ratio of the solutions P and Q in the new mixture?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
The ratio of liquids P and Q in jars A and B are 2 ∶ 19 and 1 ∶ 11, respectively
7 litres of the solution of jar A and 4 litres of the solution of jar B are mixed
Concept used
If some mixture is taken out, it's drawn in the same initial ratio.
Calculation
When 7 litres of mixture is taken out from jar A:
P = 7 × 2/21 and Q = 7 × 19/21
When 4 litres of mixture is taken out from jar B:
P = 4 × 1/12 and Q = 4 × 11/12
Adding the withdrawn mixture we get,
P = 7 × 2/21 + 4 × 1/12
= 2/3 + 1/3 = 1
and Q = 7 × 19/21 + 4 × 11/12
= 19/3 + 11/3 = 30/3 = 10
P = 1 and Q = 10
The ratio of the solutions P and Q in the new mixture is 1:10
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