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Maths question help watch

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    1. 3 easter bunnies, Flopsy, Mopsy and Popsy, share a bag of carrots. Mopsy and Popsy eat 8/15 of the carrots. Flopsy and Mopsy eat 11/12 of the carrots. If each of them eat a whole number of carrots, what is the smallest possible number of carrots in the bag?

    2. If you divide a tube of mini eggs into 2 unequal piles, then 30 times the difference between the 2 piles equal the difference between the squares of the 2 piles. How many mini eggs are in the tube?
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    (Original post by Sxv_)
    1. 3 easter bunnies, Flopsy, Mopsy and Popsy, share a bag of carrots. Mopsy and Popsy eat 8/15 of the carrots. Flopsy and Mopsy eat 11/12 of the carrots. If each of them eat a whole number of carrots, what is the smallest possible number of carrots in the bag?

    2. If you divide a tube of mini eggs into 2 unequal piles, then 30 times the difference between the 2 piles equal the difference between the squares of the 2 piles. How many mini eggs are in the tube?
    What have you tried?
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    (Original post by Muttley79)
    What have you tried?
    I'm not getting anywhere
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    (Original post by Sxv_)
    I'm not getting anywhere
    I think the second one is easier - I'd start with that.

    Call the number in one pile 'a' and the other pile 'b'. Can you make some equations?
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    (Original post by Muttley79)
    I think the second one is easier - I'd start with that.

    Call the number in one pile 'a' and the other pile 'b'. Can you make some equations?
    it would be nice if you could provide a solution that I could learn from
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    (Original post by Muttley79)
    I think the second one is easier - I'd start with that.

    Call the number in one pile 'a' and the other pile 'b'. Can you make some equations?
    I think I got a solution for the first one are you able to check it for me
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    well you can say that the number of carrots, C , must be a multiple of 15 and also 12....
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    (Original post by Sxv_)
    I think I got a solution for the first one are you able to check it for me
    Yes - I've done both of them.
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    For question 1,

    M + P = 8/15
    F + P = 11/12
    Therefore, M + F + 2P = 29/20
    Since you know that M + F + P =1, P=9/20
    M= 8/15 - 9/20 = 1/12
    F= 11/12 - 920 = 7/15
    What is the LCM of 12,15 and 20, it's 60.

    For question 2)

    Let the sum of the mini eggs be "x" and the piles be "a" and "b"
    x = a + b
    30(a - b) = a^2 - b^2
    30(a - b) = (a + b)(a - b)
    30 = a + b
    30 = x
    So there are 30 mini eggs
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    (Original post by YouMadBro!)
    For question 1,

    M + P = 8/15
    F + P = 11/12
    Therefore, M + F + 2P = 29/20
    Since you know that M + F + P =1, P=9/20
    M= 8/15 - 9/20 = 1/12
    F= 11/12 - 920 = 7/15
    What is the LCM of 12,15 and 20, it's 60.

    For question 2)

    Let the sum of the mini eggs be "x" and the piles be "a" and "b"
    x = a + b
    30(a - b) = a^2 - b^2
    30(a - b) = (a + b)(a - b)
    30 = a + b
    30 = x
    So there are 30 mini eggs
    Yes I agree - my method was a bit quicker but this is fine.
 
 
 
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