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Egg basket math problem

basket egg math puzzle

A child has a basket containing 150 eggs. For every 1 1/2 goose eggs in her basket she has 2 1/2 duck’s eggs and 3 1/2 hen’s eggs. How many of each kind has she?

Submitted answers to show in 2 days, thanks.

27 Comments to “Egg basket math problem”


  1. Rupert Parson | Guest

    1.5x+2.5x+3.5x=150
    => 7.5x=150
    => x = 20


    goose = 1.5*20 = 30
    duck = 2.5*20=50
    hen = 3.5*20 = 70


  2. Kevin from Bathurst | Guest

    30 goose eggs
    50 duck’s eggs
    70 hen’s eggs


    Multiply through by 10, to remove the halves, then double.


  3. jason | Guest

    30,50,70


  4. andrew | Guest

    30
    50
    70


  5. Shawn | Guest

    Good one.
    G=# of goose eggs
    D=# of duck eggs
    H=# of hen eggs


    D = (2.5/1.5)*G
    H = (3.5/1.5)*G
    150 = G + D + H


    150 = G + (2.5/1.5)*G + (3.5/1.5)*G
    150 = 5G
    G = 30


    D = (2.5/1.5)*G = 50
    H = (3.5/1.5)*G = 70


  6. suineg | Guest

    I like maths problems, i think it can be solve this way:
    YOU DEFINE A VARIABLE Z AS THE BLOCK OF COMBINED EGGS,
    FOR AN INCREMENT OF 1 UNIT IN Z: THERE ARE 1 1/2 GOOSE EGGS, 2 1/2 DUCK EGGS AND 3 1/2 HEN EGGS. NOTE: 1 1/2= 3/2, 2 1/2= 5/2, 3 1/2=7/2

    3/2Z+5/2Z+7/2Z=150—> 15/2Z=150; Z=20 SO:
    GOOSE EGGS= 20* 3/2=30
    DUCK EGGS= 20* 5/2= 50
    HEN EGGS= 20*7/2= 70


    THIS PUZZLE IS VERY COOL.


  7. Joe | Guest

    x = goose eggs
    2.5/1.5 = (5/3)
    (5/3)x = duck eggs
    3.5/1.5 = (7/3)
    (7/3)x = hen eggs
    x + (5/3)x + (7/3)x = 150
    (15/3)x = 150
    x = 30
    (5/3)*30 = 50
    (7/3)*30 = 70


    30 goose eggs, 50 duck eggs, and 70 hen eggs.


  8. Riyad | Guest

    I think it is a matter of plugging in:
    11/2 G= 2.5 D = 3.5H
    G+H+D=150


    I get 69 Ducks, 31 Goose, 49 Hens. ( these are approximations to the nearest decimal)
    69+31+49= 149


    Hope I got it right!


  9. MoysieGT | Guest

    Goose =30, Duck =50, Hen =70


    30+50+70=150


    Several methods i used to work out the values are as follows
    ___________________________________________________________


    The sumation of th egg’s “frations”: 1.5+2.5+3.5= 7.5


    7.5/3 (1/3rd) = 2.5 (2.5 is the value of duck eggs to every 1.5 goose eggs)


    the 2.5 Duck eggs: 150/3 (1/3rd of 150) = 50 (Duck eggs)


    The remaining 100 eggs are made up between the 1.5 goose eggs per 3.5 Hen eggs: 1.5+3.5 = 5


    100/5=20


    Goose eggs = 20×1.5 = 30


    Hen eggs = The remaining 70 eggs
    ___________________________________________________________


    The sumation of th egg’s “frations”: 1.5+2.5+3.5= 7.5


    150/7.5= 20 (total number of eggs divided by sumation of egg “fractions”;)


    20x 1.5 (goose eggs)= 30
    20x 2.5 (Duck eggs) = 50
    20x 3.5 (Hen eggs) = 70


    ___________________________________________________________


    The sumation of th egg’s “frations”: 1.5+2.5+3.5= 7.5
    7.5×2=15 (since you cant have half an egg i dubled the values)


    150/15 =10 (Total eggs divided by twice the value of the egg’s “fractions”;)


    Goose: 1.5×2=3, 3×10=30


    Duck: 30/1.5=20, 20×2.5=50


    Hen: 30/1.5=20, 20×3.5=70


  10. John Lewis Highsmith | Guest

    30, 50, 70


  11. Mihret K | Guest

    30 Goose eggs
    50 ducks eggs
    70 hens eggs


    Is that right


  12. GC | Guest

    30 g + 50 d + 70 h = 150 eggs


  13. Mark W | Guest

    30 goose, 50 duck, 70 hen


    I used the ratios of the eggs to determine the fraction of the total number of eggs for each:


    1.5 goose + 2.5 duck + 3.5 hen = 7.5 eggs


    1.5/7.5 = fraction that are goose eggs = 1/5
    2.5/7.5 = fraction that are duck eggs = 1/3
    3.5/7.5 = fraction that are hen eggs = 7/15


    1/5 x 150 total = 30 goose eggs
    1/3 x 150 total = 50 duck eggs
    7/15 x 15 total = 70 hen eggs


  14. Milo Zachary | Guest

    20 Goose Eggs, 50 Duck Eggs, 70 Hen’s Eggs.


  15. Brandon | Guest

    The ratio of Goose to Duck to Hen eggs is 1.5 : 2.5 : 3.5. Since 1.5 + 2.5 + 3.5 = 7.5, that means 1.5 / 7.5 of the eggs are Goose, 2.5 / 7.5 Duck, and 3.5 / 7.5 of them are Hen eggs, or 30 goose, 50 duck, and 70 hen eggs.


  16. Scott | Guest

    “A child has a basket containing 150 eggs. For every 1 1/2 goose eggs in her basket she has 2 1/2 duck’s eggs and 3 1/2 hen’s eggs. How many of each kind has she? Submitted answers to show in 2 days, thanks. ”


    That’s 3/2 goose eggs for every 5/2 duck eggs for every 7/2 hen eggs, or in other words a 3:5:7 ratio. This adds up to 15 eggs, of which 3 are goose, 5 are duck, and 7 are hen eggs.


    So, if there is 150 eggs, then there must be 30 goose, 50 duck, and 7 hen eggs.


  17. Michael Kim | Guest

    the answer is goose=30 duck=50, and hen=70.


    How did i get it? bcuz im an asian, eat glass mother f!@kers im just kidding


    my cousin and i got the right answers, but my method is harder to understand, so i used his. first of all simply by dividing 150 by 10 so you would get a smaller number which is 15, since u can’t have 1/2 eggs (realistically it’s impossible). so u multiply by 2 of each eggs so u’d get g=3, d=5, h=7
    then u would multiply each number by 10 and then voila u would get 30, 50, 70 =]


  18. Alexandra | Guest

    x = goose eggs ; (1.5x * 2.5) = duck eggs ; (1.5x * 3.5) = hen eggs


    150 = x + (1.5x * 2.5) + (1.5x * 3.5)
    150 = x + (15/4x) + (21/4x)
    150 = x + (36/4x)
    150 = x + 9x
    150 = 10x
    15 = x


    (15 goose eggs) + (56.25 duck eggs) + (78.75 hen eggs) = 150 eggs total


  19. Carolyn | Guest

    The answer is 30 Goose eggs, 50 Duck eggs, and 70 Hen eggs.


  20. Levi | Guest

    Simply put everything in relation to the number of goose eggs. Therefore for each goose egg there is 1 2/3 duck eggs and for each goose egg there is 2 1/3 hen eggs. Turn it into an equation so you have 1g + 1 2/3g + 2 1/3g = 150 and therefore 5g = 150 so therefore you have a total of 30 goose eggs. Resubstitute to get 30 goose eggs, 50 duck eggs and 70 hen eggs.


  21. Jay | Guest

    30 goose eggs, 50 duck eggs, and 70 chicken eggs…


  22. Ian | Guest

    30 goose eggs
    70 hen’s eggs
    50 ducks eggs


  23. suineg | Guest

    i think of another way of approaching this problem that the one that I initially explained:


    1) 1 1/2 —–> 2 1/2
    1 —–> X (5/2 )/ 3/2 X= 5/3


    2) 1 1/2 ——> 3 1/2
    1 ——> X (7/2 )/ 3/2 X= 7/3


    from (1) —> DE= 3/5GE from (2) —> HE= 3/7GE
    FOR EACH GE THERE ARE 5/3 OF DE AND 7/3 OF HE


    3) GE+ DE+ HE= 150–> GE+ 5/3GE +7/3GE= 150
    15/3GE=150 –> GE= 30, DE= 5/3*GE=50, HE= 7/3*GE=70


    SAME RESULT, BUT I THINK THIS SOLUTION IS LESS REFINED, BUT WORKS TOO


  24. Jack S | Guest

    1.5x + 2.5x + 3.5x = 150
    7.5x = 150
    15x = 300
    x = 20


    There are 30 goose, 50 duck and 70 hen eggs in her basket.


  25. RK | Profile

    as above, couple different ways to go about getting the answer…


    30 goose eggs, 50 duck eggs, and 70 hen eggs


  26. Tsopi | Profile

    In this basket we can fit 150/(1+1/2)= 100*(One end a half GooseEggs)
    DuckEggs = (2+1/2)*100 = 250 DE
    HenEggs = (3+1/2)*100 = 350 HE


  27. Tsopi | Profile

    Oh i’m so sorry…i missunderstood the question.The answer is 30GE 50DE and 70 HE


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