Question

Two gears are connected and rotating at the same time. The smaller gear completes 1 3/4 rotations every time the larger gear completes 1/4 of a rotation. How many rotations does the smaller gear complete when the larger gear completes 1 rotation? Drag and drop the correct value into the box.

A. 1/7
B. 7/8
C.5 1/2
D.7

Answer 1

Answer: Which Option do You Drag and Drop into the Box?

Explanation:

Let's call the number of rotations of the larger gear "L" and the number of rotations of the smaller gear "S". We know that when the larger gear completes 1 rotation, the smaller gear completes 1 3/4 rotations.

We can set up a proportion to solve for S:

S/1 3/4 = L/1/4

Simplifying the right side of the equation, we get:

S/1 3/4 = 4L

Multiplying both sides by 7/4 to get rid of the fraction on the left side, we get:

S = 28/4 L

Simplifying, we get:

S = 7L

This means that the smaller gear completes 7 rotations every time the larger gear completes 1 rotation.

Therefore, the correct value to drag and drop into the box is 7.

{Hope This Helps! :)}