A total of 800 pre-sale tickets and tickets at the gate were sold to football city championship game. If the number of tickets s

Question

4 years ago

5

old at the gate was thirteen less than twice the number of pre-sale tickets, how many pre-sale tickets were sold?

1 answer:

Nitella [24] · Answer 1 · 2021-12-19T21:47:38+03:00

The number of presale tickets sold is 271

Solution:

Let "p" be the number of presale tickets sold

Let "g" be the number of tickets sold at gate

Given that, total of 800 Pre-sale tickets and tickets at the gate were sold

Therefore,

Presale tickets + tickets sold at gate = 800

p + g = 800 ------ eqn 1

Given that, number of tickets sold at the gate was thirteen less than twice the number of pre-sale tickets

Therefore,

Number of tickets sold at gate = twice the number of pre-sale tickets - 13

g = 2p - 13 ------- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 2 in eqn 1

p + 2p - 13 = 800

3p -13 = 800

3p = 800 + 13

3p = 813

p = 271

Thus 271 presale tickets were sold