Let x mg and  y  mg   be the dosage of medications A and B

(a) Patient I

Daily intake of A =  6x    ( 4 times a day)

Daily intake of B= 2y      (Twice a day)

 

Hence 6x +2y= 23.2 Or, 3x+y = 11.6             ...(1)

And  8x=5y               Or, 8x-5y=0                  …(2)

 

 

 

 

This gives x=  or, 2.5mg and y=  or, 4.0 mg, both figures rounded to one decimal place

(b) Patient II

 

6x+2y= 87.8 , Or, 3x+y= 43.9  ….. (1)

And 8x=5y,     Or, 8x-5y=0      …(2)

 

 

  Or,

 

This gives x= , Or 9.5 mg and y= , Or 15.2 mg, both figures rounded to one decimal place

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