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Question

Leena runs marathons to raise money for charity. Last year she ran 4 marathons for a total of 104 miles. This year, Leena ran 3 marathons for a total of 78 miles. Next year, Leena is signed up for 7 marathons.
How many miles does Leena plan on running in marathons next year?

126 miles

107 miles

182 miles

156 miles

Answer 1

To find out how many miles Leena plans on running in marathons next year, we can first calculate the average mileage per marathon for the marathons she ran last year and this year.

Last year:

• 4 marathons for a total of 104 miles.
• Average miles per marathon = \( \frac{104 \text{ miles}}{4 \text{ marathons}} = 26 \text{ miles per marathon} \).

This year:

• 3 marathons for a total of 78 miles.
• Average miles per marathon = \( \frac{78 \text{ miles}}{3 \text{ marathons}} = 26 \text{ miles per marathon} \).

It appears that the average miles per marathon is consistent at 26 miles.

Next year, Leena is signed up for 7 marathons, so we can calculate how many miles she plans to run:

• Total miles planned for next year = \( 7 \text{ marathons} \times 26 \text{ miles per marathon} = 182 \text{ miles} \).

Therefore, Leena plans on running 182 miles in marathons next year.

The answer is 182 miles.