Question

Alan is going to sell eggs to a local market. Unfortunately, he dropped the box with the eggs and broke them all. He needs to figure out how many eggs he broke, but he forgot the exact number. This is what he does remember:

When he put all his eggs in groups of 2, one egg was left over.
When he put all his eggs in groups of 3, one egg was left over.
When he put all his eggs in groups of 4, one egg was left over.
When he put all his eggs in groups of 5, no eggs were left over.

How many eggs did he have before he broke them? Is there more than one answer? How do you know?



This is for extra credit and i need them. :) PLEASE

Answer 1

Explanation:

It is an ODD number due to statement 1

it is a multiple of 5 due to the last statement

5 15 25 35 45 55 65 75 85 95 105 .....

When you divide by 3 there is a R 1

25 55 85 115 145

When you divide by 4 there is a R = 1

25 is the lowest number next possible number is 145 then another posssible is 265 etc