MathDB
Carl the Spelunker

Source: 2018 AMC 12A #2

February 8, 2018
AMCAMC 12AMC 12 A

Problem Statement

While exploring a cave, Carl comes across a collection of 55-pound rocks worth $14\$14 each, 44-pound rocks worth $11\$11 each, and 11-pound rocks worth $2\$2 each. There are at least 2020 of each size. He can carry at most 1818 pounds. What is the maximum value, in dollars, of the rocks he can carry out of the cave?
<spanclass=latexbold>(A)</span>48<spanclass=latexbold>(B)</span>49<spanclass=latexbold>(C)</span>50<spanclass=latexbold>(D)</span>51<spanclass=latexbold>(E)</span>52<span class='latex-bold'>(A) </span> 48 \qquad <span class='latex-bold'>(B) </span> 49 \qquad <span class='latex-bold'>(C) </span> 50 \qquad <span class='latex-bold'>(D) </span> 51 \qquad <span class='latex-bold'>(E) </span> 52