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miguel and peter 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, peter 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:

See explanation below.

Step-by-step explanation:

Let's say,

x = number of tokens required to play one game of ping pong

y = number of token required play one game of pinball

Using the data given, the system of equations are:

[tex]\begin{bmatrix}9x+5y=29\\ 3x+y=7\end{bmatrix}[/tex]

Solving the system of equations using substitution method will give us:

[tex]y=4\:\:\:,\:\:\:x=1[/tex]

So, one game of ping pong required 1 token, whereas one game of pinball required 4 tokens.

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