To determine how many pencils would be in each gift bag, we first need to calculate the greatest number of gift bags Ella can create such that both stickers and pencils are divided equally. This involves finding the greatest common divisor (GCD) of the two numbers: 10 stickers and 75 pencils.

Step 1: Find the GCD of 10 and 75

Using the prime factorization method:

• $10 = 2 \times 5$
• $75 = 3 \times 5 \times 5$

The common factor is $5$, so the GCD is $5$.

Step 2: Divide the quantities by the GCD

• Number of stickers per gift bag: $\frac{10}{5} = 2$
• Number of pencils per gift bag: $\frac{75}{5} = 15$

Conclusion

Ella can create 5 gift bags, with each gift bag containing 15 pencils.

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Would you like a detailed explanation of the GCD process or further breakdowns?

Related Questions

1. How many stickers would be in each gift bag?
2. What if Ella had 20 stickers and 100 pencils? How many pencils would each bag have?
3. What is the general method to calculate how many items go into equal groups?
4. How can this concept be applied to splitting items into unequal groups?
5. If Ella wanted to distribute a third item (e.g., erasers), how would that affect the calculation?

Tip

Always use the GCD to equally distribute items into the maximum number of groups.