Question

A school baseball team earned $3416.90 from selling 5716 tickets to their game. If grandstand tickets sold for 65 cents each and bleacher tickets sold for 40 cents each, how many of the bleacher tickets were sold?

Answer 1

Does any previous problem tell you how many grandstand tickets were sold?

Answer 2

Let x and y represent the number of grandstand and bleacher tickets sold respectively.

We know that the total number of tickets sold is 5716. Therefore, we will get the equation:

x+y = 5716

Therefore, x=5716-y.............................(Equation 1)

Now, we also know that the total value of tickets sold is $3416.90 or 341690 Cents.

We also know that the price of one grandstand ticket is 65 Cents. Thus, the price of x grandstand tickets will be 65x cents.

Likewise, since the price of one bleacher ticket is 40 cents, the price of y bleacher tickets will be 40y cents.

The information presented above gives us:

65x+40y=341690..........................(Equation 2)

Substituting x from (Equation 1) to (Equation 2) we get:

$65(5716-y)+40y=341690$

Let us solve the above equation for y.

$65\times 5716-65y+40y=341690$

$371540-25y=341690$

$\therefore 25y=371540-341690=29850$

$y=1194$

Therefore, the total number of bleacher tickets sold was 1194.