Question

there are 18 girls and 24 boys who wants to play participate in a trivia challenge if each team must have the same ratio of a girl in the boys what is the greatest number of teams that can enter find how many boys and girls each team will have

Answer 1

The greatest number of teams that can enter will be 6.

• Number of girls = 18.
• Number of boys = 24

Based on the information given, in order to find the greatest number of teams that can enter, we have to find the highest common factors for both boys and girls. This will be:

Factors of 18 = 1, 2, 3, 6, 9, 18.

Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 16, 24.

Highest common factor = 6

Therefore, the greatest number will be 6.

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