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.
Q. 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.
Identify Total Time: Identify the total time Jenna worked out and the time spent running.Jenna worked out for more than 25 minutes in total and spent 10 minutes running.
Determine Time Left: Determine the time left for the 2 stations after running.Subtract the time spent running from the total workout time.Total time − Time running > 25 minutes −10 minutes
Calculate Time Available: Calculate the time available for the two stations. 25 minutes - 10 minutes = 15 minutes Jenna has more than 15 minutes left for the two stations.
Write Inequality: Write an inequality to represent the time spent on each station.Let x be the time spent on each station. Since there are 2 stations, the total time spent on the stations is 2x.The inequality representing the situation is:2x > 15
Solve for Minimum Time: Solve the inequality for x to find the minimum time Jenna could spend on each station. Divide both sides of the inequality by 2 to isolate x. 2x > 15 x > \frac{15}{2} x > 7.5
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