Question

1. in theater, there are 27 students. if there are 5 more students in acting than in stage crew, how many are in each group?

Explanation:

Step1: Define variables

Let \( x \) be the number of students in stage crew. Then the number of students in acting is \( x + 5 \).

Step2: Set up equation

The total number of students is the sum of those in stage crew and acting, so \( x+(x + 5)=27 \).

Step3: Solve the equation

Simplify the left side: \( 2x+5 = 27 \). Subtract 5 from both sides: \( 2x=27 - 5=22 \). Divide both sides by 2: \( x=\frac{22}{2}=11 \). Then the number of acting students is \( 11 + 5 = 16 \).

Answer:

Stage crew: 11 students, Acting: 16 students