The soccer team and the football team are sharing the field for their practices today. The soccer team meets for practice every 10 days, and the football team meets every 2 days. How many days from now will they have to share the field again?
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To find the number of days until the soccer team and the football team have to share the field again, we need to find the least common multiple (LCM) of 10 and 2.
The factors of 10 are: 1, 2, 5, 10
The factors of 2 are: 1, 2
The common factors are: 1, 2
The LCM is the smallest number that is divisible by both 10 and 2, which is 10.
Therefore, the soccer team and the football team will have to share the field again after 10 days. Answer: \boxed{10}.
Olivia made two types of pie: strawberry and blueberry. She cut all of the strawberry pies into 11 slices each and all of the blueberry pies into 5 slices each. If Olivia cut the same total number of slices of each type of pie, what is the minimum number of slices of each type she could have cut?
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Let's represent the number of strawberry pies as "s" and the number of blueberry pies as "b".
If Olivia cut all of the strawberry pies into 11 slices each, the total number of slices of strawberry pie is 11s.
If Olivia cut all of the blueberry pies into 5 slices each, the total number of slices of blueberry pie is 5b.
Given that the total number of slices of strawberry pie is equal to the total number of slices of blueberry pie, we can set up the equation:
11s = 5b
To find the minimum number of slices of each type of pie she could have cut, we need to find the least values of s and b that satisfy this equation.
We can find the least values by finding the least common multiple (LCM) of 11 and 5. Since both numbers are prime, their LCM is simply their product: 11 * 5 = 55.
Therefore, the minimum number of slices of each type of pie she could have cut is 55 slices. Answer: \boxed{55}.
Chloe is creating snack bowls out of walnuts and cashews. She has 35 walnuts and 10 cashews, and she wants each bowl to have an identical number of walnuts and cashews, with no nuts left over. What is the greatest number of bowls Chloe can create?
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To find the greatest number of bowls Chloe can create, we need to find the greatest common divisor (GCD) of 35 and 10.
The factors of 35 are: 1, 5, 7, 35
The factors of 10 are: 1, 2, 5, 10
The common factors are: 1, 5
The greatest common divisor is the largest number that divides both 35 and 10 without leaving a remainder, which is 5.
Therefore, the greatest number of bowls Chloe can create is 5 bowls. Answer: \boxed{5}.