SOLUTION: A farmer has a certain number of eggs. If he counts in groups of 3, there will be 2 remaining eggs. If he count in groups of 4, 3 eggs will be remain. Remaining 5,6 if he count in

Question 979024: A farmer has a certain number of eggs. If he counts in groups of 3, there will be 2 remaining eggs. If he count in groups of 4, 3 eggs will be remain. Remaining 5,6 if he count in groups of 6,7. How many eggs he has?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A farmer has a certain number of eggs.
If he counts in groups of 3, there will be 2 remaining eggs.
If he count in groups of 4, 3 eggs will be remain.
Remaining 5,6 if he count in groups of 6,7.
How many eggs he has?
:
Start with multiples of 7 plus 6
13, 20, 27, 34, 41, 48, 55, 62, 69, 76, 83, 90, 96
Then multiples of 6 plus 5
11, 17, 23, 29, 35, 41, 47, 53, 59, 65, 71, 77, 83, 89
Looks like 41 would be good candidate, counting in groups in 3 is ok, however,
counting in groups of 4 does not give a remainder of 3
Let's try 83, that seems to work with counting by groups of 3 and 4
:
He has 83 eggs
RELATED QUESTIONS
Hi a farmer sold some eggs in the morning. He then packed the remaining eggs into 15... (answered by josmiceli)

A farm has chickens that lay only white and brown eggs. On a certain day, the chickens... (answered by MathTherapy)

A farmer has 7 eggs and 4 baskets. How can he arrange all the eggs in the 4 baskets in... (answered by edjones)

Hey can you pleaseee help me ! Farmer Naz was carrying a basket of eggs to sell at the (answered by ankor@dixie-net.com)

The local grocery store receives shipments of fresh eggs daily. If each shipment of 44 is (answered by josgarithmetic)

if the eggs in a basket are removed 2 at a time, one eggs will remain. If they are... (answered by Edwin McCravy)

Jeremy has a bag of peanuts. He is going to share them so he counts them out. First he... (answered by mananth)

A cook bought some large and small eggs in the ratio 2:3. After preparing a meal, the... (answered by richwmiller)

Hi in a market,the price of grades A eggs B eggs and C eggs are in the ratio 7:5:4... (answered by ikleyn)