Question
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The distance from the school to the museum is 7,274 feet. This is 4,273 more feet than the distance from the school to the post office. What is the distance in feet, from the school to the post office?

Ask by Deleon Davies. in the United States
Mar 12,2025

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Tutor-Verified Answer

Answer

The distance from the school to the post office is 3,001 feet.

Solution

Let's denote the distance from the school to the post office as \( x \) feet. Given that the distance from the school to the museum is 7,274 feet, which is 4,273 more feet than the distance from the school to the post office, we can set up the following equation: \[ 7,274 = x + 4,273 \] Now, we can solve for \( x \) to find the distance from the school to the post office. Solve the equation by following steps: - step0: Solve for \(x\): \(7274=x+4273\) - step1: Swap the sides: \(x+4273=7274\) - step2: Move the constant to the right side: \(x=7274-4273\) - step3: Subtract the numbers: \(x=3001\) The distance from the school to the post office is 3,001 feet.

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Extra Insights

To find the distance from the school to the post office, you need to subtract the extra distance from the school to the museum. Since the distance from the school to the museum is 7,274 feet and that is 4,273 feet more than the distance to the post office, you can set up the equation: Distance to the post office = Distance to the museum - Extra distance Distance to the post office = 7,274 feet - 4,273 feet = 3,001 feet. So, the distance from the school to the post office is 3,001 feet! To visualize this better, imagine your school at the starting line, the post office at 3,001 feet down the road, and the museum at a distance of 7,274 feet, which makes for a quick fun run! It's almost 1.5 miles to the museum, so you could plan a fun trip there with friends, mixing math with some real-life exploration!

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