Question 1 – Chemistry

Drug TypeAmino Acids (change in mass after 1mg drug dosage)
SerineValine
A+8+2
B-8-5

In a patient, the current level of enzymes in the bloodstream has created a dangerous imbalance:

There is 

  • an overproduction of Valine by 12 mg and
  • an underproduction of Serine by 24 mg

In order to balance the amino acid, how much of each drug in mg should the patient receive?

Hint- simultaneous equations

Answer: 4mg of Serine and 4mg of Valine


Question 2 – CS

Percy needs to design exam paper with 40 questions. He wants to hire question writers to do the job.

Below is a list of prices for five question writers he can hire. 

WriterNumber of questionsCharge (in dollars)
Alice251000
Bob13450
Charlie16590
Daisy20770
Emily9330

Note that Percy cannot hire the same writer more than once.

What is the minimum amount (in dollars) that Percy needs to pay in total, so that he will have at least 40 exam questions? 

Answer: 1550.