1
Question
Williams is a math teacher. And there are 30 girls and 45 boys in his class.
He wants to divide the class into teams of the same size, where each team has the same number of girls and the same number of boys.
Find the greatest number of teams that Williams can make?
Williams is a math teacher. And there are 30 girls and 45 boys in his class.
He wants to divide the class into teams of the same size, where each team has the same number of girls and the same number of boys.
Find the greatest number of teams that Williams can make?
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Solution
The correct option is C 15
In order to know how many teams Williams can create, we need a number that is a factor of 30 and 45, so that the 30 girls and the 45 boys can be divided up evenly.
To find the greatest number of teams, we want to find the greatest common factor of 30 and 45.
To do so, let's find factors of 30 and 45.
The factors of 30: 1, 2, 3, 5, 6, 10, 15 and 30.
The factors of 45: 1, 3, 5, 9, 15 and 45.
From the above, the common factors are 1, 3, 5 and 15.
So, the greatest factor among the common factors is 15.
Hence, the greatest number of teams that Williams can make is 15.
In order to know how many teams Williams can create, we need a number that is a factor of 30 and 45, so that the 30 girls and the 45 boys can be divided up evenly.
To find the greatest number of teams, we want to find the greatest common factor of 30 and 45.
To do so, let's find factors of 30 and 45.
The factors of 30: 1, 2, 3, 5, 6, 10, 15 and 30.
The factors of 45: 1, 3, 5, 9, 15 and 45.
From the above, the common factors are 1, 3, 5 and 15.
So, the greatest factor among the common factors is 15.
Hence, the greatest number of teams that Williams can make is 15.
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