Abdul's Pizza sells cheese pizzas cut into 10 slices each and pepperoni pizzas cut into 5 slices each. If Abdul's Pizza sold the same number of slices of each type of pizza yesterday, what is the smallest number of slices of each type that the restaurant must have sold?
[___]slices
To find the smallest number of slices of each type of pizza that Abdul's Pizza must have sold, we need to find the least common multiple (LCM) of 10 and 5.
The prime factors of 10 are 2 and 5.
The prime factors of 5 are 5.
The LCM is found by taking the highest power of each prime factor that appears in either number. In this case, that would be 2 and 5.
Therefore, the LCM of 10 and 5 is 2 * 5 = 10.
So, the smallest number of slices of each type that the restaurant must have sold is 10 slices.
[10]slices
Kenji is setting out some snacks for friends he is having over. He has 18 crackers and 12 slices of cheese. If he wants each plate to be identical, with no food left over, what is the greatest number of plates Kenji can prepare?
[___]plates
To find the greatest number of plates Kenji can prepare, we need to find the greatest common divisor (GCD) of 18 and 12.
The prime factors of 18 are 2, 3, and 3.
The prime factors of 12 are 2, 2, and 3.
The GCD is found by taking the lowest power of each prime factor that appears in both numbers. In this case, that would be 2 and 3.
Therefore, the GCD of 18 and 12 is 2 * 3 = 6.
So, the greatest number of plates Kenji can prepare is 6 plates.
[6]plates
Justine is serving vegetables at a soup kitchen. She has 18 carrot sticks and 24 baby potatoes that she wants to divide evenly, with no food left over. What is the greatest number of plates Justine can prepare?
[__] plates
To find the greatest number of plates Justine can prepare, we need to find the greatest common divisor (GCD) of 18 and 24.
The prime factors of 18 are 2, 3, and 3.
The prime factors of 24 are 2, 2, 2, and 3.
The GCD is found by taking the lowest power of each prime factor that appears in both numbers. In this case, that would be 2 and 3.
Therefore, the GCD of 18 and 24 is 2 * 3 = 6.
So, the greatest number of plates Justine can prepare is 6 plates.
[6] plates
Nellie is creating gift baskets with scented soaps and bottles of bubble bath. She has 33 scented soaps and 22 bottles of bubble bath. If she wants all the gift baskets identical without any items left over, what is the greatest number of gift baskets Nellie can make?
[__] gift baskets
To find the greatest number of gift baskets Nellie can make, we need to find the greatest common divisor (GCD) of 33 and 22.
The prime factors of 33 are 3 and 11.
The prime factors of 22 are 2 and 11.
The GCD is found by taking the lowest power of each prime factor that appears in both numbers. In this case, that would be 11.
Therefore, the GCD of 33 and 22 is 11.
So, the greatest number of gift baskets Nellie can make is 11 gift baskets.
[11] gift baskets.
Fred and Anne are studying a set of new words for Spanish class. Fred decides to break the set into lists of 4 words. Meanwhile, Anne creates lists of 8 words. What is the smallest number of words there could be?
[__]words
To find the smallest number of words, we need to find the least common multiple (LCM) of 4 and 8.
The prime factors of 4 are 2 and 2.
The prime factors of 8 are 2, 2, and 2.
The LCM is found by taking the highest power of each prime factor that appears in either number. In this case, that would be 2 * 2 * 2 = 8.
Therefore, the smallest number of words there could be is 8 words.
[8] words.
Robert is making emergency-preparedness kits to share with friends. He has 40 bottles of water and 32 cans of food, which he would like to distribute equally among the kits, with nothing left over. What is the greatest number of kits Robert can make?
[__] kits