MathDB
Four Singers

Source:

January 11, 2009

Problem Statement

Four girls — Mary, Alina, Tina, and Hanna — sang songs in a concert as trios, with one girl sitting out each time. Hanna sang 7 7 songs, which was more than any other girl, and Mary sang 4 4 songs, which was fewer than any other girl. How many songs did these trios sing? <spanclass=latexbold>(A)</span> 7<spanclass=latexbold>(B)</span> 8<spanclass=latexbold>(C)</span> 9<spanclass=latexbold>(D)</span> 10<spanclass=latexbold>(E)</span> 11 <span class='latex-bold'>(A)</span>\ 7 \qquad <span class='latex-bold'>(B)</span>\ 8 \qquad <span class='latex-bold'>(C)</span>\ 9 \qquad <span class='latex-bold'>(D)</span>\ 10 \qquad <span class='latex-bold'>(E)</span>\ 11