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Elmo's Sandwiches

Source: AMC 12 2006B, Problem 14

February 17, 2006
AMC

Problem Statement

Elmo makes N N sandwiches for a fundraiser. For each sandwich he uses B B globs of peanut butter at 4 cents per glob and J J blobs of jam at 5 cents per glob. The cost of the peanut butter and jam to make all the sandwiches is $ \$2.53. Assume that B,J, B, J, and N N are all positive integers with N>1 N > 1. What is the cost of the jam Elmo uses to make the sandwiches? <spanclass=latexbold>(A)</span>$1.05<spanclass=latexbold>(B)</span>$1.25<spanclass=latexbold>(C)</span>$1.45<spanclass=latexbold>(D)</span>$1.65<spanclass=latexbold>(E)</span>$1.85 <span class='latex-bold'>(A) </span> \$1.05 \qquad <span class='latex-bold'>(B) </span> \$1.25 \qquad <span class='latex-bold'>(C) </span> \$1.45 \qquad <span class='latex-bold'>(D) </span> \$1.65 \qquad <span class='latex-bold'>(E) </span> \$1.85