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2005 AMC 8 Question 22

AMC8 · 2005 AMC 8

Question 22

A company sells detergent in three different sized boxes: small (S), medium (M) and large (L). The medium size costs $50 \%$ more than the small size and contains $20 \%$ less detergent than the large size. The large size contains twice as much detergent as the small size and costs $30 \%$ more than the medium size. Rank the three sizes from best to worst buy.
  1. $SML$
  2. $LMS$
  3. $MSL$
  4. $LSM$
  5. $MLS$