MathDB
AMC 8 2005 Problem 22

Source:

July 23, 2011
algebra

Problem Statement

A company sells detergent in three different sized boxes: small (S), medium (M) and large (L). The medium size costs 50%50\% more than the small size and contains 20%20\% less detergent than the large size. The large size contains twice as much detergent as the small size and costs 30%30\% more than the medium size. Rank the three sizes from best to worst buy.
<spanclass=latexbold>(A)</span> SML<spanclass=latexbold>(B)</span> LMS<spanclass=latexbold>(C)</span> MSL<spanclass=latexbold>(D)</span> LSM<spanclass=latexbold>(E)</span> MLS <span class='latex-bold'>(A)</span>\ \text{SML}\qquad<span class='latex-bold'>(B)</span>\ \text{LMS}\qquad<span class='latex-bold'>(C)</span>\ \text{MSL}\qquad<span class='latex-bold'>(D)</span>\ \text{LSM}\qquad<span class='latex-bold'>(E)</span>\ \text{MLS}