Final answer:
The dentist can make a maximum of 1 dental care bag using the given supplies.
Step-by-step explanation:
In this question, a dentist is making dental care bags for patients. The dentist has 56 tubes of toothpaste, 112 packets of floss, and 85 toothbrushes. To find out how many identical dental care bags the dentist can make, we need to determine the common factors of 56, 112, and 85.
The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, and 56.
The factors of 112 are: 1, 2, 4, 7, 8, 14, 16, 28, 56, and 112.
The factors of 85 are: 1, 5, 17, and 85.
The common factors of 56, 112, and 85 are: 1, 7, and 28.
Therefore, the dentist can make a maximum of 1 dental care bag using 1 tube of toothpaste, 1 packet of floss, and 1 toothbrush.