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Item 19 Question 1 A nurse is making identical first aid bags for patients using 72 antiseptic wipes, 55 adhesive bandages, and 36 packets of ointment. What is the greatest number of identical first aid bags the nurse can make with the least amount of items leftover? Describe the contents of each bag.

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Answer:

36 identical bags with 2 antiseptic wipes, 1 adhesive bandage and 1 ointment in each bag.

Leftovers: 19 adhesive bandages.

Explanation:

First of all, let us try to find out the maximum number of identical first aid bags that can be prepared from the given contents.

The maximum number of bags that can be prepared will be equal to the quantity of the content which is available in minimum amount.

And that is number of packets of ointments.

Therefore, greatest number of bags that can be prepared is 36.

Now, it can be seen that 72 antiseptic wipes are available.

72 is a multiple of 36.

Therefore, if we put 2 antiseptic wipes in each bag, no leftovers will be there for packet of ointments and antiseptic wipes.

Now, let us consider adhesive bandages.

Maximum of 1 adhesive bandages can be put in each bag because only 55 such bandages are available.

Therefore, the answer is:

36 identical bags with 2 antiseptic wipes, 1 adhesive bandage and 1 ointment in each bag.

Leftovers: 19 adhesive bandages.

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