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Correct Question
A dentist is making identical dental care bags for patients using 56 tubes of toothpaste, 112 packets of floss, and 84 toothbrushes. What is the greatest number of identical dental care bags the dentist can make with the least amount of items leftover? Describe the contents of each bag.
Answer:
What is the greatest number of identical dental care bags the dentist can make with the least amount of items leftover?
28 identical dental care bags
Describe the contents of each bag.
2 tubes of toothpaste, 4 packets of floss and 3 toothbrushes.
Step-by-step explanation:
We solve for this using greatest common factor method
Step 1
Find the factors of 56, 84 and 112
The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56
The factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
The factors of 112 are: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
The greatest common factor amongst them is = 28
Hence, the greatest number of identical dental care bags the dentist can make with the least amount of items leftover is 28 bags.
Describe the contents of each bag.
Each bag should contain 2 tubes of toothpaste, 4 packets of floss and 3 toothbrushes.
