Knowee
Questions
Features
Study Tools

Ava is making stationery sets from 24 sheets of paper and 15 envelopes. If she wants all the sets to be identical without any paper or envelopes left over, what is the greatest number of sets Ava can make?

Question

Ava is making stationery sets from 24 sheets of paper and 15 envelopes. If she wants all the sets to be identical without any paper or envelopes left over, what is the greatest number of sets Ava can make?

🧐 Not the exact question you are looking for?Go ask a question

Solution

To find the greatest number of sets Ava can make, we need to find the greatest common divisor (GCD) of 24 (the number of sheets of paper) and 15 (the number of envelopes). The GCD is the largest number that can divide both numbers without leaving a remainder.

Here are the steps to find the GCD:

  1. List the prime factors of each number:

    • The prime factors of 24 are 2, 2, 2, 3 (222*3 = 24)
    • The prime factors of 15 are 3, 5 (3*5 = 15)

  2. Identify the common prime factors:

    • The common prime factors are 3

  3. Multiply the common prime factors together:

    • 3

So, the GCD of 24 and 15 is 3. This means Ava can make 3 identical sets of stationery with no paper or envelopes left over.

This problem has been solved

Similar Questions

Camilla is making stationery sets from 46 sheets of paper and 69 envelopes. If she wants all the sets to be identical without any paper or envelopes left over, what is the greatest number of sets Camilla can make?

Percy is stocking toilets at the hotel where he works. He has 24 rolls of toilet paper and 28 soaps. If he wants all toilets to be stocked identically, with the same combination of supplies in each one and nothing left over, what is the greatest number of toilets Percy can stock?

Reagan is setting out Japanese food for a party she is having. She has 30 avocado rolls and 24 cucumber rolls. If she wants each plate to be identical, with no rolls left over, what is the greatest number of platters Reagan can create?

Cora is stocking bathrooms at the hotel where she works. She has 16 rolls of toilet paper and 32 soaps. If she wants all bathrooms to be stocked identically, with the same combination of supplies in each one and nothing left over, what is the greatest number of bathrooms Cora can stock?

Megan is creating party favors with pencils and stickers. She has 18 pencils and 45 stickers, and wants each party favor to include the same combination of pencils and stickers, with none left over. What is the greatest number of party favors she can make?

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.