Answer to Question #194124 in Algebra for Joy Velasquez

Question

The ratio of pharmacy technicians on duty at the hospital during for the day vs. night shifts is 32:19. 

1. Express as a percentage how many pharmacy technician staff work the night shift. Round your final answer as a percentage rounded to two decimal places.  

2. Explain in a well-written paragraph the method you’ve used to arrive at your answer. 

Answer 1

1.

Percentage of pharmacy technician staff who work the night shift:

$\frac{19}{32+19}=0.3725=37.25\%$

2.

Let x is some integer, then:

total number of technicians is $32x+19x=51x$

number of night shift technicians is $19x$

So, required percentage is $19x/51x=19/51$