Ned has 24 caramal candies, 18 mints,and 12 chocolate bars. he wants to divide the candies into groups so that each group has the same number of pieces of each ind of candy. What is the largest number of groups that ned can make
A.2
B.4
C.6
D.12
B?
I disagree. Try again.
C is correct.
Dadid has 36 yellow marbles, 48 green marbles, and 24 orange marbles. What is the greatest common factor that david can use to divide the marbles into equal groups
A.4
B.6
C.12
D.24
C?
Yes C is correct.
greatest common factor of 16 24 and 30
A.2
B.6
C.8
D.12
A?
Right.
To find out the largest number of groups that Ned can make where each group has the same number of pieces of each kind of candy, we need to find the greatest common divisor (GCD) of the numbers of each kind of candy.
1. First, list the number of each kind of candy:
- Caramel candies: 24
- Mints: 18
- Chocolate bars: 12
2. Calculate the GCD of these numbers. You can use different methods to find the GCD, such as prime factorization or the Euclidean algorithm. Let's use the Euclidean algorithm:
- GCD(24, 18) = GCD(18, 6) = GCD(6, 0) = 6
3. The GCD is 6. This means that Ned can divide the candies into groups of 6 pieces, and each group will have equal numbers of each kind of candy.
4. To find the largest number of groups, divide the total number of candies by the GCD:
- Total candies = 24 + 18 + 12 = 54
- Number of groups = 54 / 6 = 9
Therefore, the correct answer is not among the options given (A, B, C, or D). The largest number of groups Ned can make is 9.