60% of the vehicles owned by a transport company are trucks, 15% are vans and the rest are buses. If there are 10 buses, how many trucks are there?

Respuesta :

Answer:

Hope this help, pls mark me as Brainliest!

Step-by-step explanation:

60% = 0.6

15% = 0.15

10 = 0.15

Answer:

24

Step-by-step explanation:

Let x represent total number of vehicles

Let T represent number of trucks

Let V represent number of vans

Let B represent number of buses

Convert percent's to decimals:

60% = 0.6

15% = 0.15

Set up equations:

T = 0.6x

V= 0.15x

B= (1 - 0.6 - 0.15)x

For buses, the remaining portion of the 100% of vehicles is 100% -60% -15%

Since we know there are 10 buses, set B=10

B= (1 - 0.6 - 0.15)x

10= (1 - 0.6 - 0.15)x

10= 0.25 x

Divide both sides by 0.25 so that we get:

10/0.25 = x

x= 40

We now know there are 40 vehicles present.  To find the number of trucks, we take 60% of the total number of vehicles

T = 0.6x

T= 0.6 (40)

T= 24

Therefore there are 24 trucks.