Question

Fallington Fair charges an entrance fee of $10 and $1.00 per ticket for the rides. Levittown Fair charges $5 entrance fee and $2 per ticket. Write an equation/inequality to show when Fallington Fair and Levittown Fair will cost the same.

Answer 1

Information given

Fallington Fair charges an entrance fee of $10 and $1.00 per ticket for the rides. Levittown Fair charges $5 entrance fee and $2 per ticket. Write an equation/inequality to show when Fallington Fair and Levittown Fair will cost the same.​

Solution

Let's put some notation for this case, let x the number of rides and we can set up the following equation:

`\text{Fallington}=\text{Levitown}`
`10+x=5+2x`

And now we can solve for x on the following way:

10-5= 2x-x

5=x

So then Fallington Fair and Levittown Fair will cost the same at 5 rides