Minimum Yellow Pills for Drug Requirement

  • Thread starter Thread starter Diced Tofu
  • Start date Start date
  • Tags Tags
    Word problem
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.
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
I'm interested to know whether the equation $$1 = 2 - \frac{1}{2 - \frac{1}{2 - \cdots}}$$ is true or not. It can be shown easily that if the continued fraction converges, it cannot converge to anything else than 1. It seems that if the continued fraction converges, the convergence is very slow. The apparent slowness of the convergence makes it difficult to estimate the presence of true convergence numerically. At the moment I don't know whether this converges or not.
Back
Top