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Place 40 checkers in two stacks so that, if five checkers are moved from the taller stack to the shorter one, there will be the same number of checkers in each stack. How many checkers were in the taller stack?

Answer :

Answer:

Answer:

10

Step-by-step explanation:

6 in the first, and 12 in each of the other

That means 6 + 12 + 12 = 30

Since there are three stacks, divide 30 by

3

30/3 = 10

There will be 10 books in each stack

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Rewritten by : Barada

Final answer:

Initially, the taller stack contained 25 checkers. By moving five checkers to the other stack, each would then contain 20 checkers, equalizing the stacks.

Explanation:

Solving the Checker Stacks Problem

To solve the problem of placing 40 checkers in two stacks, we use the guess and check strategy. After moving five checkers from the taller stack to the shorter, the stacks must be equal. Therefore, the total number of checkers in each stack after moving the checkers will be half of 40, which is 20 checkers per stack. This means that before moving the five checkers, the taller stack had 20 + 5 checkers and the shorter stack had 20 - 5 checkers.

So, the original taller stack had 25 checkers, and the shorter stack had 15 checkers. When you move 5 from the taller to the shorter, they equal each other with 20 checkers each.

Thus, before moving the checkers, the taller stack originally had 25 checkers.