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Bernie has 12 forks and 18 knives to place in silverware holders at the fast food restaurant where he works. He wants to distribute them equally, with no forks or knives left over. What is the greatest number of silverware holders Bernie can stock? silverware holdersSubmit

Question

Bernie has 12 forks and 18 knives to place in silverware holders at the fast food restaurant where he works. He wants to distribute them equally, with no forks or knives left over. What is the greatest number of silverware holders Bernie can stock? silverware holdersSubmit

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Solution

To find the greatest number of silverware holders Bernie can stock, we need to determine the greatest common divisor (GCD) of 12 and 18.

Step 1: List the factors of 12: 1, 2, 3, 4, 6, 12. Step 2: List the factors of 18: 1, 2, 3, 6, 9, 18.

Step 3: Identify the common factors of 12 and 18: 1, 2, 3, 6.

Step 4: Determine the greatest common divisor (GCD) from the common factors: The greatest common divisor of 12 and 18 is 6.

Therefore, Bernie can stock a maximum of 6 silverware holders.

This problem has been solved

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