Michaela is hiking on a weekend camping trip. She has walked 6 miles so far. This is 30% of the total distance. What is the total number of miles she will walk?
Understand the Problem
The question asks us to determine the total distance Michaela will hike, given that she has already hiked 6 miles, which represents 30% of the total distance. We need to calculate the total distance based on this information.
Answer
20 miles
Answer for screen readers
The total distance Michaela will hike is 20 miles.
Steps to Solve
- Define the variable
Let $x$ be the total distance Michaela will hike.
- Set up the equation
We know that 30% of the total distance $x$ is equal to 6 miles. We can write this as an equation: $0.30x = 6$
- Solve for $x$
To find the total distance $x$, divide both sides of the equation by 0.30: $x = \frac{6}{0.30}$
- Calculate the value of $x$
$x = 20$
The total distance Michaela will hike is 20 miles.
More Information
This problem involves understanding percentages and how they relate to finding a whole value when a part is known.
Tips
A common mistake is to incorrectly set up the equation. For example, some might mistakenly calculate 30% of the known distance (6 miles) rather than understanding that 6 miles is 30% of the unknown total distance.
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