AA.16 Solve one-step equations: word problems

Question

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While on vacation, Nate and his family visit Mount Rushmore in South Dakota. They watch a movie in the visitor center for
1
4
of an hour. This accounts for
1
5
of the total time they spend at Mount Rushmore.
Which equation can you use to find the total amount of time t Nate's family spends at Mount Rushmore?

Answer 1

To find the total amount of time \( t \) that Nate's family spends at Mount Rushmore, you can use the relationship established in the problem statement. You know that the time spent watching the movie, which is \( \frac{1}{4} \) hour, represents \( \frac{1}{5} \) of the total time \( t \).

You can set up the equation as follows:

\[ \frac{1}{5}t = \frac{1}{4} \]

This equation states that one-fifth of the total time \( t \) is equal to one-fourth of an hour. You can solve this equation to find \( t \).