Maths Olympiad Prep

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Problem 82

Number theory Difficulty 1.2 Multiple choice CEMC Gauss (Grade 7) · Canada · 2013

Nick has six nickels (5¢ coins), two dimes (10¢ coins) and one quarter (25¢ coin). In cents (¢), how much money does Nick have?

Pick one

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Official solution

Nick has 6 nickels and each nickel is worth 5¢. So Nick has 6×56 \times 5¢ or 30¢ in nickels.

Nick has 2 dimes and each dime is worth 10¢. So Nick has 2×102 \times 10¢ or 20¢ in dimes.

Nick has 1 quarter and each quarter is worth 25¢. So Nick has 1×251 \times 25¢ or 25¢ in quarters.
In total, Nick has 30¢ +20+\,20¢ +25+\,25¢ or 75¢.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.