Posted by **Anonymous** on Monday, August 27, 2012 at 12:35am.

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 -
**Anonymous**, Monday, August 27, 2012 at 12:42am
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!

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