MathDB
After-school activities

Source: 2017 AMC 10B #13

February 16, 2017
AMCAMC 10AMC 10 B2017 AMC 10B

Problem Statement

There are 2020 students participating in an after-school program offering classes in yoga, bridge, and painting. Each student must take at least one of these three classes, but may take two or all three. There are 1010 students taking yoga, 1313 taking bridge, and 99 taking painting. There are 99 students taking at least two classes. How many students are taking all three classes?
<spanclass=latexbold>(A)</span>1<spanclass=latexbold>(B)</span>2<spanclass=latexbold>(C)</span>3<spanclass=latexbold>(D)</span>4<spanclass=latexbold>(E)</span>5<span class='latex-bold'>(A) </span> 1 \qquad<span class='latex-bold'>(B) </span> 2 \qquad<span class='latex-bold'>(C) </span> 3 \qquad<span class='latex-bold'>(D) </span> 4 \qquad<span class='latex-bold'>(E) </span> 5