Step 1: Let us first list down the given information. We are given 2 people enter the theater every one minute. Also, we need to have 70 people in the theater.
Step 2: Let us assume that x represents the number of minutes that must pass until there are 70 people in the theater.
Step 3: Since 2 people arrive per minute. Therefore, total number of people who arrive at the theater in x minutes can be expressed as [tex]2x[/tex].
Step 4: We can now frame a linear equation using the fact that there are 70 people in the theater in x minutes:
[tex]2x=70[/tex]
Step 5: In order to find the number of minutes, we will divide this equation by 2 on both the sides:
[tex]\frac{2x}{2} =\frac{70}{2} \\ x=35[/tex]
Therefore, 35 minutes must pass in order for 70 people to arrive at the theater.
