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?
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
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.
“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.
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 =]
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.
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
30 goose eggs
50 duck’s eggs
70 hen’s eggs
Multiply through by 10, to remove the halves, then double.
30,50,70
30
50
70
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
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.
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.
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!
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
30, 50, 70
30 Goose eggs
50 ducks eggs
70 hens eggs
Is that right
30 g + 50 d + 70 h = 150 eggs
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
20 Goose Eggs, 50 Duck Eggs, 70 Hen’s Eggs.
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.
“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.
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 =]
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
The answer is 30 Goose eggs, 50 Duck eggs, and 70 Hen eggs.
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.
30 goose eggs, 50 duck eggs, and 70 chicken eggs…
30 goose eggs
70 hen’s eggs
50 ducks eggs
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
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.
as above, couple different ways to go about getting the answer…
30 goose eggs, 50 duck eggs, and 70 hen eggs
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
Oh i’m so sorry…i missunderstood the question.The answer is 30GE 50DE and 70 HE