Malachi collects baseball cards. He has 24 Cincinnati Reds cards and 30 Atlanta Braves cards. The teams are playing each other and Malachi wants to sell sets of his cards. He wants them to have an equal number of each kind in the package. What is the greatest number of packages Malachi can make if he uses all of the cards? PAR 6.2
responses:
2
3
6
9
To find the greatest number of packages Malachi can make, we need to find the greatest common divisor (GCD) of 24 and 30.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30.
The common factors of 24 and 30 are 1, 2, 3, and 6.
Therefore, the GCD of 24 and 30 is 6.
This means that Malachi can make packages with 6 Cincinnati Reds cards and 6 Atlanta Braves cards.
To find the greatest number of packages, we can divide the total number of cards by the number of cards in each package.
Total number of cards = 24 + 30 = 54 cards
Number of cards in each package = 6 Cincinnati Reds cards + 6 Atlanta Braves cards = 12 cards
Number of packages = Total number of cards / Number of cards in each package
Number of packages = 54 cards / 12 cards = 4.5
Since we cannot have a fraction of a package, the greatest number of packages Malachi can make is 4.
these are the options:2
3
6
9
Apologies for the mistake. Let's try again.
To find the greatest number of packages Malachi can make with equal numbers of each kind of card, we need to determine the greatest common divisor (GCD) of 24 and 30.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.
The common factors of 24 and 30 are 1, 2, 3, and 6.
Therefore, the GCD of 24 and 30 is 6.
This means Malachi can make packages with 6 Cincinnati Reds cards and 6 Atlanta Braves cards.
To find the greatest number of packages, we need to divide the total number of cards by the number of cards in each package.
Total number of cards = 24 + 30 = 54 cards
Number of cards in each package = 6 Cincinnati Reds cards + 6 Atlanta Braves cards = 12 cards
Number of packages = Total number of cards / Number of cards in each package
Number of packages = 54 cards / 12 cards = 4.5
Since we cannot have a fraction of a package, the greatest number of packages Malachi can make is 4.
Therefore, the correct answer is 4.
do you mean 4?
Yes, I apologize for the confusion. The correct answer is 4. Malachi can make 4 packages with an equal number of Cincinnati Reds and Atlanta Braves cards.
Malachi collects baseball cards. He has 24 Cincinnati Reds cards and 30 Atlanta Braves cards. The teams are playing each other and Malachi wants to sell sets of his cards. He wants them to have an equal number of each kind in the package. What is the greatest number of packages Malachi can make if he uses all of the cards? PAR 6.2
*
1 point
2
3
6
9
To find the greatest number of packages Malachi can make, we need to find the greatest common divisor (GCD) of 24 and 30.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.
The common factors of 24 and 30 are 1, 2, 3, and 6.
Therefore, the GCD of 24 and 30 is 6.
This means that Malachi can make packages with 6 Cincinnati Reds cards and 6 Atlanta Braves cards.
To find the greatest number of packages, we can divide the total number of cards by the number of cards in each package.
Total number of cards = 24 + 30 = 54 cards
Number of cards in each package = 6 Cincinnati Reds cards + 6 Atlanta Braves cards = 12 cards
Number of packages = Total number of cards / Number of cards in each package
Number of packages = 54 cards / 12 cards = 4.5
Since we cannot have a fraction of a package, the greatest number of packages Malachi can make is 4.
Therefore, the correct answer is 4.