the diameter of a small gear is 16 cm.this is 2.5 cm more than 0.25 of the diameter of a larger gear.what is the diameter of the larger gear

Question

the diameter of a small gear is 16 cm.this is 2.5 cm more than 0.25 of a larger gear.what is the diameter of the larger gear

 

Answer 1

We assume Y is the diameter of the larger gear. So based on the question, we can get equation like this:

0.25*Y+2.5=16

0.25*Y=13.5

Y=54

The answer is 54cm