Problem:
Mika would like to estimate how far she can ride a new model of electric bike on a fully charged battery. She completed two trips totaling miles. The first trip used of the total battery power, while the second trip used of the total battery power. How many miles can this electric bike go on a fully charged battery?
Answer Choices:
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Solution:
Mika used a total of of the total battery power during both trips combined. These trips lasted in total, so the number of miles the bike can run on a fully charged battery is .
The problems on this page are the property of the MAA's American Mathematics Competitions