MathDB
Friends' Investments

Source:

January 9, 2009

Problem Statement

Al, Betty, and Clare split $1000 \$1000 among them to be invested in different ways. Each begins with a different amount. At the end of one year they have a total of $1500 \$1500. Betty and Clare have both doubled their money, whereas Al has managed to lose $100 \$100. What was Al’s original portion? <spanclass=latexbold>(A)</span> $250<spanclass=latexbold>(B)</span> $350<spanclass=latexbold>(C)</span> $400<spanclass=latexbold>(D)</span> $450<spanclass=latexbold>(E)</span> $500 <span class='latex-bold'>(A)</span>\ \$ 250 \qquad <span class='latex-bold'>(B)</span>\ \$ 350 \qquad <span class='latex-bold'>(C)</span>\ \$ 400 \qquad <span class='latex-bold'>(D)</span>\ \$ 450 \qquad <span class='latex-bold'>(E)</span>\ \$ 500