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ratio of liquids in can

Source: LIMIT 2019 CAS1 P1

April 28, 2021
ratioalgebra

Problem Statement

A can contains a mixture of two liquids A and B in the ratio 7:57:5. When 99 litres of the mixture are drawn and replaced by the same amount of liquid BB, the ratio of AA and BB becomes 7:97:9. How many litres of liquid A was contained in the can initially? <spanclass=latexbold>(A)</span> 18<span class='latex-bold'>(A)</span>~18 <spanclass=latexbold>(B)</span> 19<span class='latex-bold'>(B)</span>~19 <spanclass=latexbold>(C)</span> 20<span class='latex-bold'>(C)</span>~20 <spanclass=latexbold>(D)</span> None of the above<span class='latex-bold'>(D)</span>~\text{None of the above}