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jmc

prealgebra senior

Problem

Roger has exactly one of each of the first 22 states' new U.S. quarters. The quarters were released in the same order that the states joined the union. The graph below shows the number of states that joined the union in each decade. What fraction of Roger's 22 coins represents states that joined the union during the decade 1780 through 1789? Express your answer as a common fraction.

(note: every space represents 2 states.)

problem
Solution
12 states joined from 1780 to 1789. Therefore, of his first 22 quarters, 12 of them are from this time period, making for of his coins being from this time period.
Final answer
\frac{6}{11}