Wyatt is setting out Japanese food for a party he is having. He has 15 avocado rolls and 6 cucumber rolls. If he wants each plate to be identical, with no rolls left over, what is the greatest number of platters Wyatt can create?
Question
Wyatt is setting out Japanese food for a party he is having. He has 15 avocado rolls and 6 cucumber rolls. If he wants each plate to be identical, with no rolls left over, what is the greatest number of platters Wyatt can create?
Solution
To solve this problem, we need to find the greatest common divisor (GCD) of the number of avocado rolls and cucumber rolls. The GCD is the largest number that can divide both numbers without leaving a remainder.
Step 1: List the divisors of each number. The divisors of 15 are: 1, 3, 5, 15. The divisors of 6 are: 1, 2, 3, 6.
Step 2: Identify the common divisors. The common divisors of 15 and 6 are: 1, 3.
Step 3: The greatest common divisor is the largest of these, which is 3.
So, Wyatt can create 3 identical platters with no rolls left over.
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