Question

The attendance at a baseball game was 400 people. Student tickets cost $2 and adult tickets cost $3. Total sales were $1050. How many tickets of each type were sold?
I just need to write the equation.

Answer 1

We know the total tickets sold = 400. Let x be the number of adult tickets sold. That means 400 - x is the number of student tickets. The revenue from adult tickets will be $3 * x, which we can call 3x. The revenue from student ticks will be $2 * (400 - x), or 800 - 2x. The total revenue is $1050, so that means: 3x + (800 - 2x) = 1050. Removing the parentheses: 3x + 800 - 2x = 1050 Subtracting 800 from both sides: 3x - 2x = 250 Simplifying the left side: x = 250, which is the number of adult tickets. 400-x = student tickets = 400-250 = 150. ALWAYS check! In this case, check the revenue: 3x = 3(250) = 750 2(150) = 300 750 + 300 = 1050. Check!