MathDB
Homework Help

Source: 2017 AMC 8 #14

November 22, 2017
AMC 8

Problem Statement

Chloe and Zoe are both students in Ms. Demeanor's math class. Last night they each solved half of the problems in their homework assignment alone and then solved the other half together. Chloe had correct answers to only 80%80\% of the problems she solved alone, but overall 88%88\% of her answers were correct. Zoe had correct answers to 90%90\% of the problems she solved alone. What was Zoe's overall percentage of correct answers? <spanclass=latexbold>(A)</span>89<spanclass=latexbold>(B)</span>92<spanclass=latexbold>(C)</span>93<spanclass=latexbold>(D)</span>96<spanclass=latexbold>(E)</span>98<span class='latex-bold'>(A) </span>89\qquad<span class='latex-bold'>(B) </span>92\qquad<span class='latex-bold'>(C) </span>93\qquad<span class='latex-bold'>(D) </span>96\qquad<span class='latex-bold'>(E) </span>98