Question

Sam has sold 20 tickets to the play, and continues to sell tickets per day. Tony has sold 5 tickets to the

play, and continue to sell tickets at the rate of 8 tickets per day. Write and solve a single equation to

prove and show at how many days will Sam and Tony have sold the same amount of tickets.

Answer 1

`(15)/(8-a)`

Where, a =additional tickets per day sold by Sam. (must be less than 8)

Explanation:

Let after x days, Sam and Tony have sold the same amount of tickets

Given,

For Sam,

The fixed number of tickets sold = 20,

Let additional tickets per day = a,

So, the total tickets after x days = fixed ticket + additional tickets for x days

= 20 + ax

For Tony,

The fixed number of tickets sold = 5,

Additional tickets per day = 8,

So, the total tickets after x days= 5+ 8x,

Thus, we can write,

20 + ax = 5 + 8x

20 - 5 = 8x - ax

15 = (8-a)x

`\implies x = (15)/(8-a)`

Hence, after
`(15)/(8-a)` days they would have same amount of tickets.