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9 February, 00:48

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?

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  1. 9 February, 04:45
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    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.

    Step-by-step 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)
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