Sheet # 238 Critical Thinking

Name: _____________________ Date_____________

**Mary has some eggs in her basket. If she divides the eggs by 2, 3, 4, 5, or 6, there is always one egg left over. If she divides the number of eggs by 7 , the remainder is zero. The basket holds less than 500 eggs. How many eggs does she have in her basket?
Answer for sheet # 238
When she divides the eggs by 2, 3, 4, 5, or 6, there is always one egg left over, it means find the LCM of these numbers. The LCM of these numbers is 60 and multples of 60.
60, 120, 180, 240, 300, 360, 420
Now add 1 to these numbers since one egg is left over.
61, 121, 181, 241, 301, 361, 421
Divide the above numbers by 7, and see which number is divisible without remainder.
It is 301. She has 301 eggs.**