Problema Solution

A psychologist uses 2 types of boxes with mice and rats. Time spent in Box A is 10 minutes per mouse and 20 minutes per rat. Time spent in Box B is 20 minutes per mouse and 10 minute per rat. Box A has a total time of 800 minutes available per day while Box B has a total of 640 minutes. How many of each will maximize the number of rats and mice used in the experiment per day?

Answer provided by our tutors

let 'x' represent the number of mice and 'y' represent the number of rats


800 = 20x + 10y

640 = 10x + 20y

solving this system we have:

x = 32

y = 16


32 mice and 16 rats will maximize the use of the boxes per day