Algebra
posted by Anonymous .
The attendance at a baseball game was 400 people. Student tickets cost $2 and adult tickets cost $3. Total ticket sales were $1050. How many tickets of each type were sold?

Karen Park Holliday 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.
400x = student tickets = 400250 = 150.
ALWAYS check!
In this case, check the revenue:
3x = 3(250) = 750
2(150) = 300
750 + 300 = 1050. Check!