Question

Kendall has 45 dolphin stickers, 15 shark stickers, and 20 whale stickers. She wants to put an equal number of stickers into a bags, with only one type of sticker in each bag. How many stickers can Kendall put in each bag?

Answer 1

Kendall can put 5 stickers in each bag by finding the greatest common divisor of the number of each type of sticker she has (45, 15, 20), which is 5. She will create 9 dolphin sticker bags, 3 shark sticker bags, and 4 whale sticker bags.

Step-by-step explanation:

Kendall has 45 dolphin stickers, 15 shark stickers, and 20 whale stickers and wants to put an equal number of stickers into bags. To find the maximum number of stickers she can put in each bag with only one type of sticker in each bag, we need to determine the greatest common divisor (GCD) of the three numbers.

1. First, list the factors of each number:
   Factors of 45: 1, 3, 5, 9, 15, 45
   Factors of 15: 1, 3, 5, 15
   Factors of 20: 1, 2, 4, 5, 10, 20.
2. Then, identify the largest factor that all three numbers share. The common factors are 1 and 5, but the largest is 5.
3. Divide the number of stickers of each type by 5:
   45 dolphin stickers ÷ 5 = 9 bags
   15 shark stickers ÷ 5 = 3 bags
   20 whale stickers ÷ 5 = 4 bags.
4. Therefore, Kendall can put 5 stickers in each bag.