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:
[tex] 65(5716-y)+40y=341690 [/tex]
Let us solve the above equation for y.
[tex] 65\times 5716-65y+40y=341690 [/tex]
[tex] 371540-25y=341690 [/tex]
[tex] \therefore 25y=371540-341690=29850 [/tex]
[tex] y=1194 [/tex]
Therefore, the total number of bleacher tickets sold was 1194.
