Questions: As part of an annual fundraiser to help raise money for cancer research, Heather joined a walkathon. The track she walked on was 1600 yd long. Heather walked 16.5 laps. Her sponsors agreed to donate an amount of money for each mile she walked. How many miles did she walk? First fill in the blanks on the left side of the equation using three of the ratios shown. Then write your answer on the right side of the equation. Ratios: 1600 yd/1 lap 1 lap/1600 yd 5280 ft/1 mi 1 mi/5280 ft 3 ft/1 yd 1 yd/3 ft 16.5 laps/1 × □ × □=□ m × □=□ □ □ □ □

As part of an annual fundraiser to help raise money for cancer research, Heather joined a walkathon. The track she walked on was 1600 yd long. Heather walked 16.5 laps. Her sponsors agreed to donate an amount of money for each mile she walked. How many miles did she walk?

First fill in the blanks on the left side of the equation using three of the ratios shown. Then write your answer on the right side of the equation.

Ratios: 1600 yd/1 lap  1 lap/1600 yd  5280 ft/1 mi  1 mi/5280 ft  3 ft/1 yd  1 yd/3 ft

16.5 laps/1 × □ × □=□ m × □=□ □ □ □ □
Transcript text: As part of an annual fundraiser to help raise money for cancer research, Heather joined a walkathon. The track she walked on was 1600 yd long. Heather walked 16.5 laps. Her sponsors agreed to donate an amount of money for each mile she walked. How many miles did she walk? First fill in the blanks on the left side of the equation using three of the ratios shown. Then write your answer on the right side of the equation. \[ \begin{array}{l} \text { Ratios: } \frac{1600 \mathrm{yd}}{1 \text { lap }} \quad \frac{1 \mathrm{lap}}{1600 \mathrm{yd}} \quad \frac{5280 \mathrm{ft}}{1 \mathrm{mi}} \quad \frac{1 \mathrm{mi}}{5280 \mathrm{ft}} \quad \frac{3 \mathrm{ft}}{1 \mathrm{yd}} \quad \frac{1 \mathrm{yd}}{3 \mathrm{ft}} \\ \frac{16.5 \text { laps }}{1} \times \square \times \square=\square \mathrm{m} \times \square=\square \square \square \square \square \end{array} \]
failed

Solution

failed
failed

Solution Steps

Step 1: Calculate Total Distance in Yards

Using the formula \[ \text{Total Distance in Yards} = N \times L \], where \(N\) is the number of laps (16.5) and \(L\) is the track length in yards (1600), we find the total distance covered in yards. \[ \text{Total Distance in Yards} = 16.5 \times 1600 = 26400 \text{ yd} \]

Step 2: Convert Yards to Feet

Using the conversion ratio \(\frac{3 \text{ ft}}{1 \text{ yd}}\), we convert the total distance from yards to feet. \[ \text{Total Distance in Feet} = \text{Total Distance in Yards} \times 3 = 26400 \times 3 = 79200 \text{ ft} \]

Step 3: Convert Feet to Miles

Using the conversion ratio \(\frac{1 \text{ mi}}{5280 \text{ ft}}\), we convert the total distance from feet to miles. \[ \text{Total Distance in Miles} = \text{Total Distance in Feet} \div 5280 = 79200 \div 5280 = 15 \text{ mi} \]

Final Answer: The total distance covered is 15 miles.

Was this solution helpful?
failed
Unhelpful
failed
Helpful