There are 18 boys and 60 girls working on a community service project. They work in groups where each group has the same number of boys and the same number of girls.
Q1: What is the first step to finding the greatest number of groups possible?
A. Multiply 18 times 60
B. Divide 60 by 18
C. Find the factors of 18 and 60
D. Subtract 18 from 60
Q2: What is the greatest number of groups possible? The greatest number of groups possible is _______.
Q2 answer is 3?
No.
the factorization of 18 is 2x3x3, and the 60 is 2x2x3x5. so the question is asking the greatest so 3 is not correct? maybe 2?
The question asks which is the GREATEST number of groups possible.
18 is not divisible by 5.
i am so confused, can you teach me?
I told you this was your first answer.
C. Find the factors of 18 and 60
Factors of 18:
1, 18, 2, 9, 3, 6
Factors of 60:
1, 60, 2, 30, 3, 20, 4, 15. 5, 12, 6, 10
What is the largest common factor?
6 is the largest common factor
Right.
Q1: The first step to finding the greatest number of groups possible is to determine the common factor, or the number that divides both 18 and 60 evenly. This can be done by finding the factors of both numbers and identifying the greatest common factor.
A. Multiply 18 times 60: This option would give the product of 1080, which is not directly related to finding the greatest number of groups.
B. Divide 60 by 18: This option would give the quotient of approximately 3.3333, which is not a whole number. Whole numbers are needed to represent the number of groups.
C. Find the factors of 18 and 60: This option is the correct approach. By finding the factors of both numbers, you can identify the common factor.
D. Subtract 18 from 60: This option would give the difference of 42, which is not related to finding the greatest number of groups.
Therefore, the correct answer for Q1 is C. Find the factors of 18 and 60.
Q2: To determine the greatest number of groups possible, we need to identify the common factor of 18 and 60.
The factors of 18 are 1, 2, 3, 6, 9, and 18.
The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.
Looking at the factors of both numbers, we can see that the common factor is 6.
Therefore, the greatest number of groups possible is 6.