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# A company sells detergent in three different sized boxes: small (S), medium (M) and large (L).

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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. $$\text{(A)}\, SML \qquad \text{(B)}\, LMS \qquad \text{(C)}\, MSL \qquad \text{(D)}\, LSM \qquad \text{(E)}\, MLS$$ Select the most appropriate letter.

Feb 3, 2021

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lets say the large is 100 oz and cost 100$assuming this: Small contains 50 oz Medium contains 80 oz Small costs 35$

Medium costs 70$so to buy large you get 1 oz per$1.00

to buy medium you get 1 oz per $1.14 to buy large you get 1 oz per$1.43

Therfore LMS is correct

Feb 3, 2021
#2
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thanks elijah

Choff  Feb 3, 2021
#3
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no problem

Elijah  Feb 3, 2021