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David likes saving money

Source: Problem #3 2016 AMC 10A

February 3, 2016
AMCAMC 10AMC 10 A2016 AMC 10A

Problem Statement

For every dollar Ben spent on bagels, David spent 2525 cents less. Ben paid $12.50\$12.50 more than David. How much did they spend in the bagel store together?
<spanclass=latexbold>(A)</span> $37.50<spanclass=latexbold>(B)</span> $50.00<spanclass=latexbold>(C)</span> $87.50<spanclass=latexbold>(D)</span> $90.00<spanclass=latexbold>(E)</span> $92.50<span class='latex-bold'>(A)</span>\ \$37.50 \qquad<span class='latex-bold'>(B)</span>\ \$50.00\qquad<span class='latex-bold'>(C)</span>\ \$87.50\qquad<span class='latex-bold'>(D)</span>\ \$90.00\qquad<span class='latex-bold'>(E)</span>\ \$92.50