September 2019 - Math Problem

There are 50 tiles in a row.  Every third tile is red.  Every fourth tile has a star printed on it.  

Every remaining tile is green and unmarked.  

How many green and unmarked tiles are there?  

There are 26 green and unmarked tiles.  What if we started with 500 tiles instead of 50?  How many would be green and unmarked?

Solution:

Score

Hits

3

3

6

3,3

7

7

9

3,3,3

10

3,7

12

3,3,3,3

13

3,3,7

14

7,7

15

Answer for 12 and 3

16

Answer for 13 and 3

17

Answer for 14 and 3

18 

Answer for 12 and 3 and 3

We can keep adding 3 to the answers for 12, 13 and 14 to get all of the numbers greater than 14.  This means that the highest score that we can not get is 11.  

What would be the highest score that you could not get if there were three sections on the dart board with the numbers 5, 7 and 9?

What would be the highest score that you could not get if there were two sections on the dart board with the numbers 2 and 4?

Department