Aira is campaigning for class president and plans to distribute some campaign materials: 30 flyers and 20 paper clips. She wants each classroom to receive an identical set of campaign materials, without having any left-over materials. What is the greatest number of ciassrooms Joan can distribute the materials? (Grade 5)
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Answer:
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Step-by-step explanation:
Answered by
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Given:
Number of flyers = 30
Number of paper clips = 20
To Find:
The number of classrooms Aira can equally distribute the materials to.
Solution:
- To find the maximum number of classrooms Aira can distribute her flyers and paper clips in, we need to find the Highest Common Factorial(HCF) of 30 and 20.
What is HCF?
"The Highest Common Factor (HCF) of two numbers is the highest possible number which divides both the numbers completely."
- To find HCF of 20 and 30 we will follow these steps:
1. Write down factors of 20 and 30.
20 = 2 × 2 × 5
30 = 2 × 3 × 5
2. Find common factors of 20 and 30.
- Between the factors of 20 and 30, we see that
2 × 5 = 10
∴ 10 is the HCF.
- Aira can give 3 flyers and 2 paper clips each to 10 classes.
Therefore, the greatest number of classrooms Aira can distribute the materials to is 10.
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