MathDB
Anna's Dinner

Source: 2012 AMC10B Problem #5

February 23, 2012
AMC

Problem Statement

Anna enjoys dinner at a restaurant in Washington, D.C., where the sales tax on meals is 10%10\%. She leaves a 15%15\% tip on the prices of her meal before the sales tax is added, and the tax is calculated on the pre-tip amount. She spends a total of 27.5027.50 for dinner. What is the cost of here dinner without tax or tip?
<spanclass=latexbold>(A)</span> $18<spanclass=latexbold>(B)</span> $20<spanclass=latexbold>(C)</span> $21<spanclass=latexbold>(D)</span> $22<spanclass=latexbold>(E)</span> $24 <span class='latex-bold'>(A)</span>\ \$18\qquad<span class='latex-bold'>(B)</span>\ \$20\qquad<span class='latex-bold'>(C)</span>\ \$21\qquad<span class='latex-bold'>(D)</span>\ \$22\qquad<span class='latex-bold'>(E)</span>\ \$24