MathDB
Drinking Lemonade

Source: 2014 AMC 12B #6

February 20, 2014
AMC

Problem Statement

Ed and Ann both have lemonade with their lunch. Ed orders the regular size. Ann gets the large lemonade, which is 50%50\% more than the regular. After both consume 34\tfrac{3}{4} of their drinks, Ann gives Ed a third of what she has left, and 22 additional ounces. When they finish their lemonades they realize that they both drank the same amount. How many ounces of lemonade did they drink together?
<spanclass=latexbold>(A)</span> 30<spanclass=latexbold>(B)</span> 32<spanclass=latexbold>(C)</span> 36<spanclass=latexbold>(D)</span> 40<spanclass=latexbold>(E)</span> 50{ <span class='latex-bold'>(A)</span>\ 30\qquad<span class='latex-bold'>(B)</span>\ 32\qquad<span class='latex-bold'>(C)</span>\ 36\qquad<span class='latex-bold'>(D)</span>}\ 40\qquad<span class='latex-bold'>(E)</span>\ 50