MathDB
Soda is Bad Part II

Source: 2018 AMC 12B #6

February 16, 2018
AMCAMC 12AMC 12 B

Problem Statement

Suppose SS cans of soda can be purchased from a vending machine for QQ quarters. Which of the following expressions describes the number of cans of soda that can be purchased for DD dollars, where 11 dollar is worth 44 quarters?
<spanclass=latexbold>(A)</span>4DQS<spanclass=latexbold>(B)</span>4DSQ<spanclass=latexbold>(C)</span>4QDS<spanclass=latexbold>(D)</span>DQ4S<spanclass=latexbold>(E)</span>DS4Q<span class='latex-bold'>(A) </span>\frac{4DQ}S\qquad<span class='latex-bold'>(B) </span>\frac{4DS}Q\qquad<span class='latex-bold'>(C) </span>\frac{4Q}{DS}\qquad<span class='latex-bold'>(D) </span>\frac{DQ}{4S}\qquad<span class='latex-bold'>(E) </span>\frac{DS}{4Q}