SOLUTION: a poultry farm produced a total of 8000 eggs. the eggs were sold in equal numbers to 4 different egg sellers.Each egg seller has 400 more big eggs than small eggs how many small e

Algebra.Com
Question 1095129: a poultry farm produced a total of 8000 eggs. the eggs were sold in equal numbers to 4 different egg sellers.Each egg seller has 400 more big eggs than small eggs how many small eggs did each egg seller have
Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
each egg seller gets 8000 / 4 = 2000 eggs.

each egg seller has 400 more big eggs than small eggs.

let b = the number of big eggs and let s = the number of small eggs.

you get b + s = 2000

there are 400 more big eggs than small eggs.

you get b = s + 400

in the equation ob b + s = 2000, replace b with s + 400 to get s + 400 + s = 2000

combine like terms and subtract 400 from both side of the equation to get 2s = 1600.

solve for s to get s = 800.

solve for b to get b = 800 + 400 = 1200.

each seller has 800 small eggs and 1200 big eggs for a total of 2000 eggs.

each seller has 1200 - 800 = 400 more big eggs than small eggs.

solution is that each seller has 800 small eggs.


RELATED QUESTIONS

My grandmother went to the market with a basket full of eggs.to the first customer she... (answered by josgarithmetic,ikleyn)
Amanda leaves with a basket of hard-boiled eggs to sell. At her first stop she sold half (answered by josmiceli,htmentor)
A man sold half an egg more than half his egg. He then sold half an egg more than half of (answered by KMST,MathTherapy)
This is a word probrem from the book Algebra and Trigonometry by Foerster. Egg... (answered by anomis,Alan3354)
Help - the farmer sells mixed grade eggs by the dozen. Describe the distribution of the... (answered by ewatrrr)
There are six eggs in a basket. Six people take one of the eggs each. How is it that one... (answered by jim_thompson5910)
A basket has exactly six eggs in it. Six different people each take one egg. These are... (answered by Edwin McCravy)
Out of 12 eggs in refrigerator, 2 are bad. From these 4 eggs are chosen at random to make (answered by ikleyn)
On her way to the market a horse stepped on Mrs. O'Leary's egg basket and cracked every... (answered by ankor@dixie-net.com)