Answer:
6.
Step-by-step explanation:
A simple machine can be defined as a type of machine with no moving parts but can be used to perform work.
Basically, a simple machine allows for the transformation of energy into work. The six simple machines are; lever, wedge, inclined plane, screw, wheel and axle, and pulley.
A pulley is typically made up of a wheel and rope which allows force to be multiplied such as in a drawing well.
In order to construct a compound pulley with an ideal mechanical advantage of 6 you would arrange several fixed and movable pulleys so that a total of 6 rope segments were pulling up on the load.
Hence, you need 6 pulley wheels and 6 rope segments to construct a compound pulley with an ideal mechanical advantage of 6.
To find the ideal mechanical advantage;
Mathematically, IMA is given by the formula;
[tex] IMA = \frac {distance \; over \; which \; the \; effort \; is \; applied}{distance \; the \; load \; travels} [/tex]
NB: The ideal mechanical advantage has no units.
