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Math

Shelly compared the number of oak trees to the number of maple trees as part of a study about hardwood trees in a woodlot. She counted 9 maple trees to every 5 oak trees. Later in the year there was a bug problem and many trees died. New trees were planted to make sure there was the same number of trees as before the bug problem. The new ratio of the number of map;e trees to the number of oal trees is 3:11. After planting new trees, there were 132 oak trees. How many more maple trees were in the woodlot before the bug problem than after the bug problem?

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Katherine

  1. Later tree count m:o = 3:11

    So, if there were 3x maples and 11x oaks, x=12. There were
    36 maples and 132 oaks.

    that makes 168 trees in all

    Original tree count: m:o = 9:5
    So, there were 9x maples and 5x oaks, and

    9x+5x = 168
    x = 12
    There were 108 maples and 60 oaks.

    The maples fell from 108 to 36, for a difference of 72

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    Steve

  2. 60 and 108

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    Shayla

  4. the answer i came up with is 6480

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    Demari Boyd

  5. Steve has the correct solution, but the method used in the Common Core lesson involves proportions.

    The current ratio of maple to oak trees is 3:11 and there are now 132 oak trees.
    3 maple trees X maple trees
    ------------- = ---------------
    11 oak trees 132 oak trees

    using cross multiplication,
    11x = 396 divide both sides by 11 to get
    x = 36
    So now there are 36 maple trees.

    Because there were new trees planted after the bugs to make the same number f trees before and after the bugs, we know there are 36 + 132 = 168 total trees. We use this total in the other proportion to solve.

    Before the bugs, we know the ratio was 9 maple trees to 5 oak trees. However, this next proportion needs to find the number of maple trees using the total number of trees. So we add the trees in this ratio for a total number of trees to use in this ratio. 9 + 5 = 14. So the ratio of maple tree to the total number of trees is 9:14. This is used in the second proportion.

    9 maple trees X maple trees
    ------------- = ---------------
    14 total trees 168 total trees

    Using cross multiplication, we get
    14x = (9)(168)
    14x = 1512 dividing both sides by 14,
    x = 108

    So there were 108 maple trees before bugs.
    From the earlier proportion, there are now 36 maple trees.
    So there were 108 - 36 = 72 more maple trees before the bugs.

    This is not what I would consider a 6th grade math problem, especially considering I found 2 adults who got confused by this process, so I have no problems with posting the complete solution here.

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    Michelle

  6. sooo you want to add 12plus12 and that's how you get your answer.do your homework by self not with help haha

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    helen

  8. don't make me tell you the wrong answers UGLY!! what is wrong with you guys add everything together then divide it by 2 because 2 is a great number

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    Riverhead Charter

  9. im so sorry this is Helen Gonzalez please forgive me im so sorry don't tell my teachers cause if you do you will get hurt bad

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    Helen

  10. love roque'

    "

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    Helen

  12. thanks for the help

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    blair

  13. Dun't du drugs.

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    Spongebob

  14. blah

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    blah

  16. have a nice day

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    quanita

  17. I love KOOKIE...AKA JUNGKOOKKK

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    Tae

  18. i don't understand this problem i need to explain it with tape diagrams #PLEASEHELP

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    anonymous

  20. there is a typo peeps get smart

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    kgjgfif8gifdu6

  21. omg army!!! my bias is jungkook too!

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    Tae

  22. How did you get 12?

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    Rylee

  24. 60 and 108

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    ANONYMOUS

  25. Wines are not no more expensive food or food in a long way out there is no food here so you can’t get a good meal

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    Keyshawn buckman

  26. i confused

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    P00PY HEAD JAKE

  28. DONT LIGHT YOUR HOUSE ON FIRE 👍

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    Smokey tha bear

  29. Yall seen my dad??

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    Ja'Quavion

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