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more liquid ratios

Source: LIMIT 2019 CAS1 P6

April 28, 2021
ratioalgebra

Problem Statement

Vessel AA has liquids XX and YY in the ratio X:Y=8:7X:Y=8:7. Vessel BB holds a mixture of XX and YY in the ratio X:Y=5:9X:Y=5:9. What ratio should you mix the liquids in both vessels if you need the mixture to be X:Y=1:1X:Y=1:1? <spanclass=latexbold>(A)</span> 4:3<span class='latex-bold'>(A)</span>~4:3 <spanclass=latexbold>(B)</span> 30:7<span class='latex-bold'>(B)</span>~30:7 <spanclass=latexbold>(C)</span> 17:25<span class='latex-bold'>(C)</span>~17:25 <spanclass=latexbold>(D)</span> 7:30<span class='latex-bold'>(D)</span>~7:30