The swim team at college A has gone on to the state championships 7 times over the years. If that translates to 35​% of the time in which the team has qualified for the​ finals, how many years has the swim team qualified for the​ finals?

Question

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The swim team has qualified for the finals for
  
enter your response here of the years.

Answer 1

To determine the number of years the swim team has qualified for the finals, we can set up an equation using the information provided.

We know:
- The swim team has gone to the state championships 7 times.
- This represents 35% of the years they have qualified for the finals.

Let \( x \) represent the number of years the swim team has qualified for the finals. According to the problem, 35% of \( x \) (which is the number of years they went to the state championships) is equal to 7.

We can set up the equation:
\[ 0.35 \times x = 7 \]

To solve for \( x \), divide both sides of the equation by 0.35:
\[ x = \frac{7}{0.35} \]

\[ x = 20 \]

Therefore, the swim team has qualified for the finals for 20 years.