Question

The diameter of a small gear is 16 cm this is 2.5 more than 1/4 of the diameter of a larger gear ehat is the diameter of the larger gear

Answer 1

Let's say the diameter of the larger gear is "x".

the small one has a diameter of 16cm, we know that, this is 2.5 more than (1/4)x.

$\bf 16=\cfrac{1}{4}x+2.5\implies 16-2.5=\cfrac{x}{4}\implies 13.5=\cfrac{x}{4}\implies 4(13.5)=x \\\\\\ 54=x$