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Jenna worked out for more than 25 minutes total. She spent 10 minutes running, and 
x minutes each on 2 stations. How much time could she have spent on each station?
Write an inequality to represent the situation. Use 
x to represent the minutes spent on each of the stations.

Jenna worked out for more than 2525 minutes total. She spent 1010 minutes running, and x x minutes each on 22 stations. How much time could she have spent on each station?\newlineWrite an inequality to represent the situation. Use x x to represent the minutes spent on each of the stations.

Full solution

Q. Jenna worked out for more than 2525 minutes total. She spent 1010 minutes running, and x x minutes each on 22 stations. How much time could she have spent on each station?\newlineWrite an inequality to represent the situation. Use x x to represent the minutes spent on each of the stations.
  1. Identify Total Time: Identify the total time Jenna worked out and the time spent running.\newlineJenna worked out for more than 2525 minutes in total and spent 1010 minutes running.
  2. Determine Time Left: Determine the time left for the 22 stations after running.\newlineSubtract the time spent running from the total workout time.\newlineTotal time - Time running > 2525 minutes - 1010 minutes
  3. Calculate Time Available: Calculate the time available for the two stations. 2525 minutes - 1010 minutes = 1515 minutes Jenna has more than 1515 minutes left for the two stations.
  4. Write Inequality: Write an inequality to represent the time spent on each station.\newlineLet xx be the time spent on each station. Since there are 22 stations, the total time spent on the stations is 2x2x.\newlineThe inequality representing the situation is:\newline2x > 15
  5. Solve for Minimum Time: Solve the inequality for xx to find the minimum time Jenna could spend on each station. Divide both sides of the inequality by 22 to isolate xx. 2x > 15 x > \frac{15}{2} x > 7.5

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