If Thomas divides half of his comic books in a 1:2 ratio between Alex and Jordan, respectively, then Alex will have one fourth as many comic books as Jordan, who will in turn have twice as many comic books as Thomas. If Alex currently owns 2 comic books, then how many more comic books does Thomas currently own than Jordan?

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Official Explanation

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Let's assume Thomas currently owns

6x

comic books.

After Thomas divides, the number of comic books owned by:

- Thomas =

3x

- Alex =

2 + x

(because Alex currently owns 2 comic books and gets

x

comic books from Thomas)

- Jordan =

4(2+x) = 8 + 4x

(because Alex will have one-fourth as many comic books as Jordan)…

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What this question tests

Your ability to convert between fractions, ratios, and decimals and to reason proportionally.

Cross-multiplying incorrectly or mixing up the ratio parts — a part:part ratio is not a fraction of the whole.