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2018 AMC 12B Question 6

AMC12 · 2018 AMC 12B

Question 6

Suppose $S$ cans of soda can be purchased from a vending machine for $Q$ quarters. Which of the following expressions describes the number of cans of soda that can be purchased for $D$ dollars, where $1$ dollar is worth $4$ quarters?
  1. $\dfrac{4DQ}{S}$
  2. $\dfrac{4DS}{Q}$
  3. $\dfrac{4Q}{DS}$
  4. $\dfrac{DQ}{4S}$
  5. $\dfrac{DS}{4Q}$