Miguel and Javier went to an arcade where the machines took tokens. Miguel played 9 games of ping pong and 5 games of pinball, using a total of 29 tokens. At the same time, Javier played 3 games of ping pong and 1 game of pinball using up 7 tokens. Write a system of equation to model this situation? How many tokens does each game require?

Respuesta :

Answer:(1) 9x + 5y = 29  and

(2) 3x + y = 7

Step-by-step explanation:)

The system of equation to model this situation is;

9x + 5y = 29

3x + y = 7

The number of tokens required for pingpong and pinball respectively are; 1 token and 4 tokens

Simultaneous Equations

Miguel played 9 games of ping pong and 5 games of pinball, using a total of 29 tokens.

Let the number of tokens for ping pong game be x and let the number of tokens for pinball be y. Thus;

9x + 5y = 29

Similarly, he  played 3 games of ping pong and 1 game of pinball using up 7 total tokens. Thus, we have;

3x + y = 7

Solving both equations using an online simultaneous equation solver we have; x = 1 and y = 4

Read more about simultaneous equations at; https://brainly.com/question/16863577