Question

a total of 634 tickets were sold for the school play. they were either adult tickets or student tickets. there were 66 fewer student tickets sold than adult tickets. how many adult tickets were sold? adult tickets

Explanation:

Step1: Define variables

Let \( x \) be the number of adult tickets, and \( y \) be the number of student tickets. We know that \( x + y = 634 \) and \( y = x - 66 \).

Step2: Substitute \( y \) into the total equation

Substitute \( y = x - 66 \) into \( x + y = 634 \), we get \( x + (x - 66) = 634 \).

Step3: Simplify and solve for \( x \)

Simplify the left side: \( 2x - 66 = 634 \). Add 66 to both sides: \( 2x = 634 + 66 = 700 \). Then divide both sides by 2: \( x = \frac{700}{2} = 350 \).

Answer:

350