Sarah is making gift baskets to share with her coworkers. She has gathered 24 DVDs 48 packages of popcorn and 18 boxes of candy. What is the greatest number of baskets that can be made as each basket has an equal number of each of the three items
To find the greatest number of baskets that can be made, we need to find the greatest common factor of 24, 48, and 18.
First, let's list the factors of each number:
- 24: 1, 2, 3, 4, 6, 8, 12, 24
- 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
- 18: 1, 2, 3, 6, 9, 18
We can see that the greatest common factor is 6. This means that Sarah can make six baskets with 4 DVDs, 8 packages of popcorn, and 3 boxes of candy in each basket.
To check, we can multiply 6 by each of the three items in the basket:
- DVDs: 6 x 4 = 24
- Popcorn: 6 x 8 = 48
- Candy: 6 x 3 = 18
So Sarah can make six gift baskets with 24 DVDs, 48 packages of popcorn, and 18 boxes of candy.
To find the greatest number of baskets that can be made with an equal number of DVDs, packages of popcorn, and boxes of candy, we need to determine the common factor of the three quantities.
The common factor of 24, 48, and 18 is 6.
Now, we divide each quantity by the common factor to find the number of baskets that can be made with equal items.
- DVDs: 24 ÷ 6 = 4 baskets
- Popcorn: 48 ÷ 6 = 8 baskets
- Candy: 18 ÷ 6 = 3 baskets
Therefore, the greatest number of baskets that can be made is 3 baskets.