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.
10+2x>25
Nice!
You just wrote an inequality to represent the situation. Now solve the associated equation, 10 + 2x = 25, to find the boundary for the inequality. Show your work or solve on paper.
10 + 2x > 25
10+2x
=
25
x
=
Write an inequality to represent the situation. Use x to represent the minutes spent on each of the stations.
10+2x>25
Nice!
You just wrote an inequality to represent the situation. Now solve the associated equation, 10 + 2x = 25, to find the boundary for the inequality. Show your work or solve on paper.
10 + 2x > 25
10+2x
=
25
x
=
Answers
GPT-4o mini
To solve the equation \(10 + 2x = 25\), we can follow these steps:
1. **Subtract 10 from both sides**:
\[
2x = 25 - 10
\]
\[
2x = 15
\]
2. **Divide both sides by 2**:
\[
x = \frac{15}{2}
\]
\[
x = 7.5
\]
Thus, the boundary for the inequality is \(x = 7.5\).
This means Emily could spend more than 7.5 minutes on each station and still meet the total workout time requirement. In terms of the original inequality \(10 + 2x > 25\), if \(x > 7.5\), then she will have worked out for more than 25 minutes.
1. **Subtract 10 from both sides**:
\[
2x = 25 - 10
\]
\[
2x = 15
\]
2. **Divide both sides by 2**:
\[
x = \frac{15}{2}
\]
\[
x = 7.5
\]
Thus, the boundary for the inequality is \(x = 7.5\).
This means Emily could spend more than 7.5 minutes on each station and still meet the total workout time requirement. In terms of the original inequality \(10 + 2x > 25\), if \(x > 7.5\), then she will have worked out for more than 25 minutes.