Maths Olympiad Prep

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, 2024

Algebra Difficulty 1.4 Junior Find the answer Canada

Arturo has an equal number of $5\$5 bills, of $10\$10 bills, and of $20\$20 bills. The total value of these
bills is $700\$700. How many $5\$5 bills does Arturo have?

Pick one

Solution

Since Arturo has an equal number of $5\$5 bills, of $10\$10 bills, and of $20\$20 bills, then we can divide Arturo’s
bills into groups, each of which contains one $5\$5 bill, one $10\$10 bill, and one $20\$20 bill.

The value of the bills in each group is $\$5
+ \$10 + \$20 = \$35$.

Since the total value of Arturo’s bills is $700\$700, then there are $700$35=20\dfrac{\$700}{\$35} = 20 groups.

Thus, Arturo has 2020 $5\$5 bills.

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