A teacher has 120 pens, consisting of 72 black pens and 48 red pens. The teacher wants to put together packets for her students in which she uniformly distributes the black and red pens among the packets so that none of the pens are left over and all the packets have the same ratio of black pens to red pens. What is the greatest number of packets the teacher can make?

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GMAT Quantitative: Problem Solving Practice Test 2 — practice the complete quiz, review flashcards, or try a random question.

Problem Solving questions are mixed in with Data Sufficiency questions to make up the 37 questions of the GMAT Quantitative section, which must be completed in 75 minutes. The Problems You’ll Work On When working through the problem solving questions test your understanding of: Basic math, including fractions, decimals, ratios and proportions, percents, and exponents. Probability and Statistics, including counting techniques, permutations and combinations, basic probability, arithmetic mean, median, mode, and standard deviation. Algebra, including polynomials, linear equations and... Show more

A teacher has 120 pens, consisting of 72 black pens and 48 red pens. The teacher wants to put together packets for her students in which she uniformly distributes the black and red pens among the packets so that none of the pens are left over and all the packets have the same ratio of black pens to red pens. What is the greatest number of packets the teacher can make?