2018 AMC 10A Problems/Problem 2

Liliane has $50\%$ more soda than Jacqueline, and Alice has $25\%$ more soda than Jacqueline. What is the relationship between the amounts of soda that Liliane and Alica have?

$\textbf{(A) }$ Liliane has $20\%$ more soda than Alice. $\textbf{(B) }$ Liliane has $25\%$ more soda than Alice. $\textbf{(C) }$ Liliane has $45\%$ more soda than Alice. $\textbf{(D) }$ Liliane has $75\%$ more soda than Alice. $\textbf{(E) }$ Liliane has $100\%$ more soda than Alice.

Solution

Let's assume that Jacqueline has $1$ gallon of soda. Then Alice has $1.25$ gallons and Liliane has $1.5$ gallons. Doing division, we find out that $\frac{1.5}{1.25}=1.2$ , which means that Liliane has 20% more soda. Therefore, the answer is $\boxed{\textbf{(A)}}$

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2018 AMC 10A Problems/Problem 2

Solution