SOLUTION: Hey can you pleaseee help me ! Farmer Naz was carrying a basket of eggs to sell at the country market. As she was walking to the market, Mrs. Dropsy's cow startled the farmer an

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Question 140968: Hey can you pleaseee help me !
Farmer Naz was carrying a basket of eggs to sell at the country market. As she was walking to the market, Mrs. Dropsy's cow startled the farmer and she dropped all of her eggs. Mrs. Dropsy felt guilty about this, so she insisted on paying for the eggs. She asked the farmer how many eggs she had, but she could not remember exactly. She did recall that when she divded the number of eggs by 2, 3, 4, or 5, there was only one egg left over, but when she took the eggs out in groups of 7, she completely emptied the basket. What was the least number of eggs in the basket?
Thanks =)

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Farmer Naz was carrying a basket of eggs to sell at the country market. As she was walking to the market, Mrs. Dropsy's cow startled the farmer and she dropped all of her eggs. Mrs. Dropsy felt guilty about this, so she insisted on paying for the eggs. She asked the farmer how many eggs she had, but she could not remember exactly. She did recall that when she divded the number of eggs by 2, 3, 4, or 5, there was only one egg left over, but when she took the eggs out in groups of 7, she completely emptied the basket. What was the least number of eggs in the basket?
:
3 * 4 * 5 = 60
:
Find the 1st integer solution to the equation:
;
y =
Starting with x = 1, it's apparent that the 1st one is x=5
(5 * 60) + 1 = 301 eggs; (43 groups of 7 eggs)

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