Maths Olympiad Prep

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, 2016

Algebra Difficulty 1.3 Junior Find the answer Canada

Alex pays 2.25 to take the bus. Sam pays 3.00 to take the bus. If they each take the bus 20 times, how much less would Alex pay than Sam in total?

Pick one

Solution

Solution 1

Since Alex pays 2.25 to take the bus, then 20 trips on the bus would cost Alex 20×20\times \$2.25=\$45$.

Since Sam pays 3.00 to take the bus, then 20 trips on the bus would cost Sam 20×20\times \$3.00=\$60$.

If they each take the bus 20 times, then in total Alex would pay $60$45=$15\$60-\$45=\$15 less than Sam.

Solution 2

Since Alex pays 2.25 to take the bus, and Sam pays 3.00 to take the bus, then Alex pays $3.00$2.25=$0.75\$3.00-\$2.25=\$0.75 less than Sam each time they take the bus.

If they each take the bus 20 times, then in total Alex would pay 20×$0.75=$1520\times \$0.75=\$15 less than Sam.

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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.