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CEMC Gauss (Grade 7), 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 $20\times \$2.25=\$45$ .

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

If they each take the bus 20 times, then in total Alex would pay $\$60-\$45=\$15$ 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 $\$3.00-\$2.25=\$0.75$ less than Sam each time they take the bus.

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

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