Question

Jake and Joshua go to different theme parks during the day. Jake must pay a fee of $30 for a ticket and additional 4$ for every food/beverage. Joshua has to pay 50$ for a ticket and additional 6$ 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

To answer this question, we will set a system of equations, and we will solve the system by the graphical method.

Let x be the number of times Jake buys drinks and food, then the total amount he will pay is determined by the following equation:

`T=30+4x\text{.}`

Its graph is:

Now, let x be the number of times Joshua buys drinks and food, then the total amount he will pay is determined by the following equation:

`T=50+6x\text{.}`

Graphing both equations we get:

The intersection of the graphs is the point,