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Question
Mason is preparing snacks for his friends who are heading over. He has 12 cookies and 18 slices of cheese. If he wants each plate to be identical, with no food left over, what is the greatest number of plates Mason can prepare?
Mason is preparing snacks for his friends who are heading over. He has 12 cookies and 18 slices of cheese. If he wants each plate to be identical, with no food left over, what is the greatest number of plates Mason can prepare?
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Solution
The correct option is C 6
List the factors of each number. Find the largest number that appears in both lists.
Factors of 12: 12, 6, 4, 3, 2, 1
Factors of 18: 18, 9, 6, 3, 2, 1
The greatest common factor of 12 and 18 is 6.
That means the greatest possible number of plates is 6, because 12 cookies could be put onto 6 plates with 2 cookies on each.
18 slices of cheese could be put onto 6 plates with 3 slices of cheese on each.
The greatest number of plates Mason can prepare is 6.
List the factors of each number. Find the largest number that appears in both lists.
Factors of 12: 12, 6, 4, 3, 2, 1
Factors of 18: 18, 9, 6, 3, 2, 1
The greatest common factor of 12 and 18 is 6.
That means the greatest possible number of plates is 6, because 12 cookies could be put onto 6 plates with 2 cookies on each.
18 slices of cheese could be put onto 6 plates with 3 slices of cheese on each.
The greatest number of plates Mason can prepare is 6.
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