How many eggs?

Algebra Level 1

If 2 hens lay 2 eggs in 2 days, how many eggs will 100 hens lay in 100 days?


The answer is 5000.

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13 solutions

Chew-Seong Cheong
Jan 10, 2019

Two hens lay 2 eggs in 2 days means 1 hen lay 1 egg in 2 days. Therefore, in 100 days, 1 hen lays 100 2 = 50 \dfrac {100}2 = 50 eggs and 100 hens lay 100 × 50 = 5000 100 \times 50 = \boxed{5000} eggs.

Wow! Good job

Brendon Teong - 1 year, 1 month ago

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Glad that you like it.

Chew-Seong Cheong - 1 year, 1 month ago

Another way is: 1. 2 hens will lay 2 eggs in 2 days means that 100 hens will lay 100 eggs in 2 days 2. Since 2 50=100, that means that 100 hens will lay 100 50=5000 eggs in 100 days

Lâm Lê - 1 year, 1 month ago

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Sorry, the '250' was supposed to be 2 times 50 and the '10050' was supposed to be 100 times 50

Lâm Lê - 1 year, 1 month ago

The eggs which hatch can in turn hatch eggs too. Why aren't we considering that?

Priyanshu Rai - 10 months ago

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You need males to fertilize the eggs.

Chew-Seong Cheong - 10 months ago

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So why are they giving eggs without males?

Priyanshu Rai - 7 months, 3 weeks ago

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@Priyanshu Rai I was saying the eggs would not be chicken because they were not fertilized.

Chew-Seong Cheong - 7 months, 3 weeks ago

The best explanation

Steve Smith - 4 months, 1 week ago
Saad Khondoker
Jan 9, 2019

simple unitary method can be used to solve the problem. in 2 days 2 hens lay 2 eggs. in 1 day 2 hens lay 2 2 \frac{2}{2} eggs. in 100 days 2 hens lay 100 2 2 \frac{100*2}{2} eggs. in 100 days 1 hen lays 100 2 2 2 \frac{100*2}{2*2} eggs. in 100 days 100 hens lay 100 100 2 2 2 \frac{100*100*2}{2*2} eggs = 5000 eggs.

Mathematically this works, but you can't say that in 1 day 2 hens lay 2/2 eggs. In 1 day, no eggs are produced. From the problem, it takes each hen 2 days to lay an egg. How many eggs would 100 hens lay in 3 days?

Carl Jones - 2 years, 4 months ago

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50 eggs and 50 egg yolk

Jason Gomez - 4 months, 3 weeks ago
Edwin Gray
Jan 10, 2019

2 hens lay 2 eggs in 2 days, so 100 hens lay 50x2 = 100 eggs in 2 days, so 100 hens lay 50x100 = 5000 in 50x2 =100 days. Ed Gray

Humberto Saenz
Mar 25, 2020

It takes each hen 2 days to produce 1 egg, or 1 egg/ 2 days. In a 100 day time-span, 1 hen would produce 50 eggs, which can be found by [100 days x ( 1 egg/2 days) = 50 eggs]. Since we have 100 hens and each hen produces 50 eggs over the 100 day time span, we can multiply [100 hens x (50 eggs/1 hen)] to find the total amount of eggs.

Vince Pantinople
Feb 15, 2020

Wow great font and writing.

Lâm Lê - 1 year, 1 month ago

2 hens lay 2 eggs in 2 days. Accordingly 100 hens will lay 100 eggs in 2 days. And to calculate the number of eggs that 100 hens will lay in 100 days, we have to multiply 100 by 50.(100/2=50) So the answer is, 100*50=5000

Mahdi Raza
Apr 10, 2020
  • 2 hens lay 2 eggs in 2 days \implies 1 hen lays 1 egg in 2 days
  • 1 hen lays 50 egg in 100 days
  • 100 hen lay (100 × \times 50) eggs in 100 days
  • = 5000 eggs
Artur Spek
Apr 6, 2020
  • One hen - 0,5 egg per day
  • 100 hens - 50 eggs per day
  • 100 hens in 100 days - 50 * 100 = 5000

If you do this in maths this works but in reality how can a hen lay half an egg!?!?

Lâm Lê - 1 year, 1 month ago
Kyran Rana
Feb 16, 2020

If 2 hens lay 2 eggs in 2 days, 1 hen lays 1 egg in 2 days which means it lays 50 eggs in 100 days. This means 100 hens will lay 100 x 50 = 5000 eggs.

Balakrishnan S
Nov 21, 2019
  • How many eggs can one hen lay in 2 days?
  • How many eggs can one hen lay in 100 days?
Béla Szarvas
Oct 4, 2019

By backtracking, 1 hen produces 0,5 eggs in 1 day. With 100 hens, that's 50 eggs a day, and with 100 days, that's 5000 \boxed{5000} eggs.

Jingle Jungle
Jul 19, 2019

2 hens in 2 days lay 2 eggs

2 hens in 100 days lay 100 eggs (Take any multiple of 2, as they lay eggs on alternate days --> 2 hens in 4 days lay 4 eggs, 2 hens in 6 days lay 6 eggs, 2 hens in 20 days lay 20 eggs & so on)

2 x 50 hens in the 100 days lay 100 x 50 eggs

That is; 100 hens in 100 days lay 5000 eggs

100 hens will lay 2 50 50 eggs in 100 days are $\boxed{5000}$ eggs in one-hundred days.

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