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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.

Respuesta :

Answer:

[tex]\frac{15}{8-a}[/tex]

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

Step-by-step 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

[tex]\implies x = \frac{15}{8-a}[/tex]

Hence, after [tex]\frac{15}{8-a}[/tex] days they would have same amount of tickets.

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