Madelyn has 33 baseballs and 22 basketballs. If she wants to divide them into identical groups without any balls left over, what is the greatest number of groups Madelyn can make?
[___] groups
To find the greatest number of identical groups Madelyn can make, we need to find the greatest common factor (GCF) of 33 and 22.
The factors of 33 are 1, 3, 11, and 33.
The factors of 22 are 1, 2, 11, and 22.
The greatest common factor of 33 and 22 is 11.
Therefore, the greatest number of identical groups Madelyn can make is 11. Answer: \boxed{11}.
Krysta is packing equal numbers of apple slices and grapes for snacks. Krysta bags the apple slices in groups of 10 and the grapes in groups of 6. What is the smallest number of grapes that she can pack?
[___] grapes
To find the smallest number of grapes that Krysta can pack, we need to find the least common multiple (LCM) of 10 and 6.
The multiples of 10 are 10, 20, 30, 40, 50, 60, ...
The multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, ...
From the lists above, we can see that the least common multiple of 10 and 6 is 30.
Therefore, the smallest number of grapes that Krysta can pack is 30. Answer: \boxed{30}.
Richmond Vitamin Shop sold equal quantities of Vitamin A and Vitamin D supplements this morning, even though the Vitamin A supplements come in packs of 9 and the Vitamin D supplements in packs of 10. What is the smallest number of each type that the store could have sold?
{__} supplements
To find the smallest number of each type of supplement that the store could have sold, we need to find the least common multiple (LCM) of 9 and 10.
The multiples of 9 are 9, 18, 27, 36, 45, 54, ...
The multiples of 10 are 10, 20, 30, 40, 50, 60, ...
From the lists above, we can see that the least common multiple of 9 and 10 is 90.
Therefore, the smallest number of each type of supplement that the store could have sold is 90. Answer: \boxed{90}.
Christine is keeping an equal number of square and rectangular boxes in a local storage facility. She stores square boxes in stacks of 3 and rectangular boxes in stacks of 10. What is the smallest number of each type of box that Christine could have?
[___] boxes
To find the smallest number of each type of box that Christine could have, we need to find the least common multiple (LCM) of 3 and 10.
The multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...
The multiples of 10 are 10, 20, 30, 40, 50, 60, ...
From the lists above, we can see that the least common multiple of 3 and 10 is 30.
Therefore, the smallest number of each type of box that Christine could have is 30. Answer: \boxed{30}.
Brooke is buying AA batteries and D batteries. The store sells AA batteries in packs of 8 and D batteries in packs of 11. If Brooke wishes to buy the same number of AA and D batteries, what is the smallest number of each battery type that she can buy?
[___] batteries
To find the smallest number of each battery type that Brooke can buy, we need to find the least common multiple (LCM) of 8 and 11.
The multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, ...
The multiples of 11 are 11, 22, 33, 44, 55, 66, 77, ...
From the lists above, we can see that the least common multiple of 8 and 11 is 88.
Therefore, the smallest number of each battery type that Brooke can buy is 88. Answer: \boxed{88}.
Steven is campaigning for class president and plans to distribute some campaign materials: 44 flyers and 33 buttons. He wants each classroom to receive an identical set of campaign materials, without having any materials left over. What is the greatest number of classrooms Steven can distribute materials to?
[___] classrooms