10) An Egg Vendor Broke All The Eggs That He Was Delivering To A Local Store. He Could Not Remember How Many Eggs There Were In All. However, He Did R

10) An egg vendor broke all the eggs that he was delivering to a local store. He could not remember how many eggs there were in all. However, he did remember that when he tried to pack them into packages of 2, 3, 4, 5, and 6 he had one left over each time. When he packed them into packages of 7, he had none left over. What is the smallest number of eggs he could have in the shipment?

 

Answer:

24 eggs

Step-by-step explanation:

An egg vendor broke all the eggs that he was delivering to a local store. He could not remember how many eggs there were in all. However, he did remember that when he tried to pack them into packages of 2, 3, 4, 5, and 6 he had one left over each time. When he packed them into packages of 7, he had none left over. What is the smallest number of eggs he could have in the shipment?

for 2, 3, 4, 5 and 6 packages, only one were left each time...

for packages of 7, none were left over meaning all were broke

after packaging package of 2, 3, 4, 5 and 6, each has 1 egg left and he packed them to a package of 7 but all were broke.

so the least number of eggs = 2 + 2 +2 +3 +4 +5 +6 = 24 eggs