The student to teacher ratio is 19:1. There is a total of 500 students and teachers. How many teachers and how many students?
+4473 You can think of 19:1 as 19x + x = 500.
Now, all you have to do is collect "like" terms:
19x + x = 500.
20x = 500
Now, divide both sides by 20:
x = 500/20 = 25.
So, going back to our ratio 19:1, we plug in 25 for x:
# of Teachers = x = 25.
# of Students = 19x = 19*25 = 475.
Note that we have a more complicated ratio of 475:25. This is the same as 19:1 because dividing 475/25 gives us 19. So, dividing both 475 and 25 by 25 gives us 19:1, the exact ratio we were given in the problem.
+4473 You can think of 19:1 as 19x + x = 500.
Now, all you have to do is collect "like" terms:
19x + x = 500.
20x = 500
Now, divide both sides by 20:
x = 500/20 = 25.
So, going back to our ratio 19:1, we plug in 25 for x:
# of Teachers = x = 25.
# of Students = 19x = 19*25 = 475.
Note that we have a more complicated ratio of 475:25. This is the same as 19:1 because dividing 475/25 gives us 19. So, dividing both 475 and 25 by 25 gives us 19:1, the exact ratio we were given in the problem.
