Question

Sergio and Julie go to the Great Frederick Fair., Sergio Paid $42 total and spent $12 entry fee and bought 20 ride tickets, Julie Paid the same entry fee and bought 25 ride tickets Whose information can you use to determine the price of a ride ticket?

Answer 1

Sergio paid $12 as entry fee and bought 20 ride tickets, at a price P. He spends a total of $42. We can write this as:

`12+20P=42`

We do not need the information about Julie to calculate P, as we can work this out from the previous equation:

`\begin{gathered} 12+20P=42 \\ 20P=42-12 \\ P=(30)/(20) \\ P=1.5 \end{gathered}`

The price of a ride ticket is $1.50.

Julie pay the same entry fee and bougth 25 ride tickets, so she spent $49.50:

`12+25P=12+25\cdot1.5=12+37.5=49.5`