James ran 2 1/2 miles a day for 4 days in a park. He walked 983 yards a day for another 5 days. What is the total distance James ran and walked in yards?
Understand the Problem
The question is asking us to calculate the total distance James ran and walked in yards. First, we need to calculate the total distance James ran in miles, then convert it to yards. Then, calculate the total distance James walked in yards, and add the two to find the final answer.
Answer
22515 yards
Answer for screen readers
22515 yards
Steps to Solve
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Calculate the total miles James ran James ran $2\frac{1}{2}$ miles per day for 4 days. Convert the mixed fraction to an improper fraction: $2\frac{1}{2} = \frac{2 \times 2 + 1}{2} = \frac{5}{2}$ Multiply the miles per day by the number of days: $\frac{5}{2} \times 4 = \frac{20}{2} = 10$ miles
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Convert miles to yards There are 1760 yards in a mile, so multiply the total miles by 1760 to convert to yards: $10 \text{ miles} \times 1760 \frac{\text{yards}}{\text{mile}} = 17600 \text{ yards}$
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Calculate the total yards James walked James walked 983 yards per day for 5 days. Multiply the yards per day by the number of days: $983 \times 5 = 4915 \text{ yards}$
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Calculate the total distance in yards Add the total yards James ran and the total yards he walked: $17600 + 4915 = 22515 \text{ yards}$
22515 yards
More Information
The total distance James ran and walked is 22515 yards.
Tips
Failing to convert miles to yards before adding the distances is a common mistake. Also, mistakes in multiplying or adding the numbers can occur. For example, forgetting to multiply the distance walked per day by the amount of days walked is a possible error. Reading the question incorrectly could also lead to not including both running and walking distance.
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