Middle School

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There are red checkers and black checkers, 20 checkers in all. There are 8 more red checkers than black checkers.

How many red checkers and how many black checkers are there?

Answer :

14 red and 6 black. 14-8=6, 14+6=20

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Rewritten by : Barada

Final answer:

The problem can be solved by creating two equations based on the given information. By using substitution and simplifying, we find there are 14 red checkers and 6 black checkers.

Explanation:

To solve this checker problem, let's create two equations based on the information given: there are 20 checkers in total and there are 8 more red checkers than black checkers. We can denote red checkers as R and black checkers as B.

So, the first equation is R + B = 20.

The second equation is R = B + 8.

Now we can substitute R from the second equation into the first one, so we get: B + 8 + B = 20. Simplifying this, we get 2B + 8 = 20. Subtracting 8 from both sides of the equation, we get 2B = 12. Then, if we divide both sides by 2, we find that B equals 6.

Substituting B = 6 into the first equation, we get R + 6 = 20, therefore R equals 14.

So, there are 14 red checkers and 6 black checkers.

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