Answer:
There are 14 red checkers and 6 black checkers on the checker board.
Step-by-step explanation:
Given:
Total number of checkers in all = 20
We need to find the number of checkers red and number of checkers black.
Solution:
Let the number of black checkers be 'x'.
Now given:
There are 8 more red checkers than black checkers
Number of red checkers = [tex]x+8[/tex]
Now we can say that;
Total number of checkers in all is equal to sum of number of black checkers and Number of red checkers.
framing in equation form we get;
[tex]x+8+x=20\\\\2x+8=20[/tex]
Subtracting both side by 8 we get;
[tex]2x+8-8=20-8\\\\2x=12[/tex]
Dividing both side by 2 we get;
[tex]\frac{2x}{2}=\frac{12}{2}\\\\x=6[/tex]
Number of black checkers = 6
Number of red checkers = [tex]x+8 =6+8 =14[/tex]
Hence There are 14 red checkers and 6 black checkers on the checker board.