Question

Jake and Joshua go to different theme parks during two days. Jake must pay a fee of $30 for a ticket and additional 5$ for every food/beverage. Joshua has to pay 25$ for a ticket and additional 10$ for the food and drinks. How many beverages and food would it take for Joshua to have the same amount of pay as Jake? Graph the item.Write a system of equations, graph them, and type the solution.

Answer 1

Let's represent food/beverage f

Jake must pay a fee of $30 for a ticket and additional 5$ for every food

`30+5f`

Joshua has to pay 25$ for a ticket and additional 10$ for the food and drinks.

`25+10f`

Now

`\begin{gathered} 30+5f=25+10f \\ \text{collect the like terms} \\ 30-25=10f-5f \\ 5=5f \\ \text{Divide both sides by 5} \\ (5)/(5)=(5f)/(5) \\ \\ f=1 \end{gathered}`