2026 AMC 8 Problem 7

Attempt Problem 7 of the 2026 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2026 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

7.

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 4040 miles. The first trip used 12\frac{1}{2} of the total battery power, while the second trip used 310\frac{3}{10} of the total battery power. How many miles can this electric bike go on a fully charged battery?
4545
4848
5050
5252
5555
Answer: C
Concepts:fractionratio and proportion
Small hint:
Add the fractions of battery used on the two trips
Big hint:
4040 miles is 45\frac45 of a full charge
Video solution:
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Written solution:
The two trips used 12+310=45\frac12+\frac3{10}=\frac45 of a full battery. Since 45\frac45 of the range is 4040 miles, a full charge gives 40÷45=5040\div\frac45=50 miles.
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