Atotal 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

271 pre-sale tickets were sold.

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,

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

This gives another equation:

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

This implies that;

Divide both sides by 3

Hence 271 pre-sale tickets were sold.

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.

ok then what happened.