adult tickets to the fall play cost $6 and student tickets cost $3. the drama class sold 25 more student…

adult tickets to the fall play cost $6 and student tickets cost $3. the drama class sold 25 more student tickets than adult tickets to the fall play. if the class collected $660 from ticket sales, how many student tickets were sold? the drama class sold ______ student tickets. the solution is

Answer

Explanation:

Step1: Define variables

Let $x$ be the number of adult - tickets sold. Then the number of student - tickets sold is $x + 25$.

Step2: Set up the cost equation

The cost of adult tickets is $6x$ dollars and the cost of student tickets is $3(x + 25)$ dollars. The total money collected is $660$ dollars. So, the equation is $6x+3(x + 25)=660$.

Step3: Expand and simplify the equation

Expand $3(x + 25)$ to get $3x+75$. The equation becomes $6x+3x + 75=660$. Combine like - terms: $9x+75 = 660$.

Step4: Solve for $x$

Subtract 75 from both sides of the equation: $9x=660 - 75=585$. Then divide both sides by 9: $x=\frac{585}{9}=65$.

Step5: Find the number of student tickets

Since the number of student tickets is $x + 25$, substitute $x = 65$ into it. So the number of student tickets is $65+25 = 90$.