Question
Emily 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.
Write an inequality to represent the situation. Use x to represent the minutes spent on each of the stations.
Answers
GPT-4o mini
To represent the situation where Emily worked out for more than 25 minutes total, we can set up the following inequality:
She spent 10 minutes running and \( x \) minutes on each of the 2 stations. Therefore, the total time she spent working out can be expressed as:
\[
10 + 2x
\]
We know this total time is greater than 25 minutes, so we can write the inequality as:
\[
10 + 2x > 25
\]
Now, you can solve for \( x \) if needed:
1. Subtract 10 from both sides:
\[
2x > 15
\]
2. Divide both sides by 2:
\[
x > 7.5
\]
Thus, Emily could spend more than 7.5 minutes on each station. The inequality representing the situation is:
\[
10 + 2x > 25
\]
She spent 10 minutes running and \( x \) minutes on each of the 2 stations. Therefore, the total time she spent working out can be expressed as:
\[
10 + 2x
\]
We know this total time is greater than 25 minutes, so we can write the inequality as:
\[
10 + 2x > 25
\]
Now, you can solve for \( x \) if needed:
1. Subtract 10 from both sides:
\[
2x > 15
\]
2. Divide both sides by 2:
\[
x > 7.5
\]
Thus, Emily could spend more than 7.5 minutes on each station. The inequality representing the situation is:
\[
10 + 2x > 25
\]