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Mark and peter went to an arcade where the machines took tokens. Marilk 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?

User Erdeszt
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2 Answers

5 votes

Answer:

5

Explanation:

User MarkusAtCvlabDotDe
by
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4 votes

Answer:

9x + 5y = 29 ........... (1) and

3x + y = 7 ........... (2)

Each game of ping pong requires 1 number of token and each game of pinball requires 4 number of tokens.

Explanation:

Let, each game of ping pong requires x number of tokens and each game of pinball requires y number of tokens.

So, from the given conditions we can write

9x + 5y = 29 ........... (1) and

3x + y = 7 ........... (2)

Now, solving equations (1) and (2) we get,

9x + 5(7 - 3x) = 29

⇒ 35 - 6x = 29

⇒ 6x = 6

x = 1 token.

Now, putting x = 1 in equation (2) we get,

3 + y = 7

y = 4 tokens.

So, each game of ping pong requires 1 number of token and each game of pinball requires 4 number of tokens. (Answer)

User Debugger
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