Question

In an asteroid field, 75% of the asteroids are carbonaceous asteroids. There are 375,000 carbonaceous asteroids in the asteroid field. How many asteroids are not carbonaceous? Asteroids are not carbonaceous.

Answer 1

Given:

In an asteroid field, 75% of the asteroids are carbonaceous asteroids.

There are 375,000 carbonaceous asteroids in the asteroid field.

To find:

The number of asteroids that are not carbonaceous.

Solution:

Let the total number of asteroids be x.

According to question,

`75\%\text{ of }x = 375000`

`(75)/(100)x=375000`

`0.75x=375000`

Divide both sides by 0.75.

`x=(375000)/(0.75)`

`x=500000`

Asteroids not carbonaceous = Total asteroids - Carbonaceous asteroids

`=500000-375000`

`=125000`

Therefore, 125,000 asteroids are not carbonaceous.