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21 February, 19:30

Suppose, instead, that Bruce used 6 full boxes of tiles plus an additional 2 tiles, and Felicia used 5 full boxes of tiles plus an additional 17 tiles.

If they each used the same number of tiles, how many tiles were in each box?

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  1. 21 February, 21:22
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    Answer: there were 15 tiles in each box

    Step-by-step explanation:

    Let the number of tiles in each full box be x

    Suppose, instead, that Bruce used 6 full boxes of tiles plus an additional 2 tiles. It means that he used a total of

    (6x + 2) tiles

    Suppose, that Felicia used 5 full boxes of tiles plus an additional 17 tiles. It means that he used a total of

    (5x + 2) tiles.

    If they each used the same number of tiles, it means that the total number of tiles used by Bruce = total number of tiles used by Felicia. Therefore,

    6x + 2 = 5x + 17

    6x - 5x = 17 - 2

    x = 15
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