Question

a total of 445 tickets were sold for the school play. they were either adult tickets or student tickets. there were 55 fewer student tickets sold than adult tickets. how many adult tickets were sold?

Explanation:

Step1: Define Variables

Let \( x \) be the number of adult tickets. Then the number of student tickets is \( x - 55 \).

Step2: Set Up Equation

The total number of tickets is the sum of adult and student tickets, so \( x+(x - 55)=445 \).

Step3: Solve the Equation

Simplify the left - hand side: \( 2x-55 = 445 \).
Add 55 to both sides: \( 2x=445 + 55=500 \).
Divide both sides by 2: \( x=\frac{500}{2}=250 \).

Answer:

250