Question

A total of 800 pre-sale tickets and tickets at the gate were sold to the football city championship game. if the number of tickets sold at the gate was thirteen less then twice the number of pre-sale tickets, how many pre-sale tickets were sold?​

Answer 1

271 pre-sale tickets were sold.

Step-by-step explanation

Let p represent the number of pre-sale tickets and t represent the number of tickets sold.

According to the question,a total of 800 pre-sale tickets and tickets were sold .

This implies that,

`p + t = 800`

Also the number of tickets sold is 13 less than twice the number of pre-sale tickets.

This gives another equation:

`t = 2p - 13`

We substitute, the second equation into the first equation to obtain:

`p + 2p - 13 = 800`

This implies that;

`3p = 813`

Divide both sides by 3

`p = (813)/(3) = 271`

Hence 271 pre-sale tickets were sold.