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Math Help - arranging tiles..

  1. #1
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    Smile arranging tiles..

    There are square tiles arranged in a pattern. The pattern has rows that are 5 tiles wide and an unknown number of rows. If you take these tiles and add one aditional tile, you can create a pattern that has rows that are 3 tiles wide, with 3 more total rows than the original pattern. How many rows are in the original pattern?
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  2. #2
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    Hello, studman09!

    There are square tiles arranged in a pattern.
    The pattern has rows that are 5 tiles wide and an unknown number of rows.

    If you add one more tile, you can create a pattern that has rows that are 3 tiles wide,
    with 3 more rows than the original pattern.
    How many rows are in the original pattern?

    The original pattern had R rows and 5 columns.
    . . There were 5R tiles.

    Add one tile.
    The 5R+1 tiles can be arranged in R+3 rows and 3 columns.
    . . There will be: . 3(R+5) tiles.


    There is our equation: . 5R + 1 \;=\;3(R+3)

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