Question

Real World Problem Solving A trophy case at Riverside Middle School holds 18 basketball trophies and 24 soccer trophies. The coach wants to place the same number of trophies on each shelf. What is the greatest number of trophies that can be on each shelf?

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Answer 1

The greatest number of trophies that can be placed on each shelf is 6.

Explanation:

To find the greatest number of trophies that can be placed on each shelf, we need to find the greatest common factor (GCF) of 18 and 24.

First, let's list the factors of each number:

Factors of 18: 1, 2, 3, 6, 9, 18

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

From the lists, we can see that the common factors of 18 and 24 are 1, 2, 3, and 6.

Since we want to place the same number of trophies on each shelf, we need to find the greatest common factor. In this case, the greatest common factor is 6.

Therefore, the greatest number of trophies that can be placed on each shelf is 6.

Please let me know if this did not help you.