2019 AMC 12B Problems/Problem 1

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Let the first jar's volume be $A$ and the second's be $B$. It is given that $\frac{3}{4}A=\frac{5}{6}B$. We find that $\frac{B}{A}=\frac{3/4}{5/6}=\boxed{\frac{9}{10}}.$ We know that this is the ratio of smaller to larger volume already because it is less than $1.$

--mguempel