Apples & Remainders

We did this problem in my Math 6+ class, but I don't want my Math 6 students to feel left out!

If you are up for a challenge complete this problem and email me your response.

Best of luck!

Out of the 6000 apples harvested this year, every third apple was too small, every fourth apple was spotted, and every tenth apple was bruised. The remaining apples were good. How many good apples were there?

Clearly SHOW and EXPLAIN your thinking.