Sunday, May 18, 2014

Math POTW #31 - April Showers Bring May.....Showers?

3 comments:

  1. I think there are 25 plants altogether.
    If there are 5 roses in a row, then there are 4 spaces in between for other flowers, and since there are 5 other flowers, it would make 4x5, or 20 flowers other than the 5 roses.
    Written out as an equation, it's 4x5+5.
    Altogether, you get 25 flowers.

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  2. The actual answer is 129
    the pattern is 5+4=9+8=17+16=33+32=65+64=129
    the total of flowers 129

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  3. My sister and I did this together

    We think that the total number of plants in the row is 129, this is how we got it:

    First we figured out how many of the different flowers appear with the first rose (excluding 2-5).

    To find this, we came up with an algebraic expression (n+n), which would help us find the values of the other flowers

    We know that Tulips occur 1 for every rose. T = 1
    To find the next flower, the Daffodil, we use n+n (1+1) = 2. Therefore, there are 2 Daffodils for every rose.

    Simply put, to find the other flowers, start with 1 (Tulip) and move on using n+n, starting with 1+1, 2+2...and so on.

    This expression will find the unit rate of all the flowers for every ONE rose.

    Daffodils = 1+1 = 2
    Petunias = 2+2 = 4
    Marigolds = 4+4 = 8
    Lilies = 8+8 = 16

    These values represent how much of each appear for 1 rose. To find the absolute value, we multiply each amount of flowers by 4 (space between the original roses) and add them together.

    T (1) x 4 = 4
    D (2) x 4 = 8
    P (4)x 4 = 16
    M (8) x 4 = 32
    L (16) x 4 = 64

    (Pattern seen here is nx2.... 4x2=8 8x2= 16...)

    SUM = 124

    Since there are 5 roses (which where not included in the previous equations), we add them to 124
    = 129
    Therefore, there are 129 plants in a row.

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