Three coworkers P, Q, and R met for a dinner. P bought 5 sandwiches, Q bought 3 sandwiches and R bought none. Both P and Q shared their sandwiches with R such that each got the same amount. If R paid a total of $8 to P and Q, how much of $8 should P get? Assume both sandwiches and Dollars can be split.

Correct answer marked below

$5.5

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Explanation

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Official Explanation

Official

P, Q and R can equally share 8 sandwiches by getting

\frac{8}{3}

sandwiches each.

Cost of

\frac{8}{3}

sandwiches is $8, so cost of 1 sandwich =

8 \times \frac{3}{8} = 3

dollars.…

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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.