Minimum Yellow Pills for Drug Requirement

  • Thread starter Thread starter Diced Tofu
  • Start date Start date
  • Tags Tags
    Word problem
Click For Summary
To ensure a patient receives at least 30 units of a drug daily, the nurse must calculate the number of red and yellow pills required, with each pill providing 3 units. The patient needs twice as many red pills as yellow pills, leading to the equation where the total number of units from both pill types must meet or exceed 30. The equations can be set up by defining the number of yellow pills as Y and red pills as 2Y, resulting in the expression 3(2Y + Y) ≥ 30. Solving this will determine the minimum number of yellow pills needed to satisfy the requirement. Properly setting up and solving these equations is crucial for meeting the patient's medication needs.
Diced Tofu
Messages
3
Reaction score
0
1. A nurse must make sure that a patient receives at least 30 units of a certain drug each day. This drug comes from red pills or yellow pills, each of which provides 3 units of the drug. The patient must have twice as many red pills as yellow pills. At least how many yellow pills will satisfy the requirement?
 
Mathematics news on Phys.org
Well,can you set up the equations...?

Daniel.
 
Well you know a few things. You just have to put it all together.

1) The patient must receive AT LEAST 30 units. You use the "greater than or equal" sign.

2) Each pill provides 3 units of medicine. Thus, each type of pill is multipled by 3.

3) You need twice as many red pills as yellow pills. How do you word that into an equation??

Then you put it all together. Remember your basic equation is:

#Red Pills + #Yellow Pills is greater than or equal to thirty.

You're going to have to incorporate the 3 units of medicine per pill and the part that states there needs to be twice as many red pills as yellow pills.
 
Good morning I have been refreshing my memory about Leibniz differentiation of integrals and found some useful videos from digital-university.org on YouTube. Although the audio quality is poor and the speaker proceeds a bit slowly, the explanations and processes are clear. However, it seems that one video in the Leibniz rule series is missing. While the videos are still present on YouTube, the referring website no longer exists but is preserved on the internet archive...

Similar threads

  • · Replies 12 ·
Replies
12
Views
3K
  • · Replies 19 ·
Replies
19
Views
4K
  • · Replies 35 ·
2
Replies
35
Views
6K
Replies
7
Views
7K
Replies
1
Views
2K
  • · Replies 17 ·
Replies
17
Views
5K
  • · Replies 66 ·
3
Replies
66
Views
7K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 62 ·
3
Replies
62
Views
12K