Minimum Yellow Pills for Drug Requirement

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SUMMARY

The discussion centers on calculating the minimum number of yellow pills required to meet a daily drug requirement of at least 30 units for a patient. Each yellow and red pill provides 3 units of the drug, and the patient must receive twice as many red pills as yellow pills. By setting up the equations, it is established that the total number of pills must satisfy the inequality: 3(R + Y) ≥ 30, where R is the number of red pills and Y is the number of yellow pills. The solution involves determining the minimum value of Y that meets these criteria.

PREREQUISITES
  • Basic algebraic equation setup
  • Understanding of inequalities
  • Knowledge of unit conversion in medication dosage
  • Familiarity with variables and their relationships
NEXT STEPS
  • Study algebraic inequalities and their applications in real-world scenarios
  • Learn about medication dosage calculations and safety protocols
  • Explore problem-solving techniques for word problems in mathematics
  • Investigate the role of unit conversions in healthcare settings
USEFUL FOR

This discussion is beneficial for healthcare professionals, particularly nurses and pharmacists, as well as students studying algebra and medication dosage calculations.

Diced Tofu
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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?
 
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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.
 

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