Question

In a junkyard, 3/5 of the vehicles are trucks, and 2/6 of the trucks are black, what fraction of the vehicles in the junkyard or black trucks?

Answer 1

1/5 of the vehicles in the junkyard are black trucks

Here, we want to get the fraction of the vehicles in the junkyard are blac trucks

We can easily select any number to represent the number of vehicles

Let us say 120 vehicles are at the junkyard

3/5 of these are trucks

Thus;

`(3)/(5)*120\text{ = 72}`

Now, out of this 72, 2/6 are black

We have this as;

`(2)/(6)*72\text{ = 24}`

So, out of the 120, 24 are black trucks

The fraction that are black trucks are thus;

`(24)/(120)\text{ = }(1)/(5)`