Post a New Question

Algebra

posted by .

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?

  • Algebra -

    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.
    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!

Answer This Question

First Name:
School Subject:
Answer:

Related Questions

More Related Questions

Post a New Question