Question

in a colony ,people have three types of vehicles -scooters ,cycle and cars.Two-thirds of the vehicles are scooters.of the remaining vehicles three-fourths are cycle.what fraction of vehicles are cars?if the total number of vehicles is 4836.how many cars are there in the colony?

Answer 1

2/3 are scooters
remaining =1/3
1/3×3/4=1/4
remaining =1/3-1/4= 4-3/12 =1/12

so the fraction of cars is 1/12

total cars=4836
total cars=4836×1/12=403

Answer 2

Answer: There are 403 cars in the colony.

Step-by-step explanation:

Since we have given that

Total number of vehicles = 4836

Number of vehicles are scooters = $\dfrac{2}{3}$

Number of remaining vehicles = $1-\dfrac{2}{3}=\dfrac{1}{3}$

Number of vehicles are cycles =

$\dfrac{1}{3}\times \dfrac{3}{4}\\\\=\dfrac{1}{4}$

Fraction of vehicles are cars is given by

$\dfrac{1}{3}\times (1-\dfrac{3}{4})\\\\=\dfrac{1}{3}\times \dfrac{1}{4}\\\\=\dfrac{1}{12}$

And the number of cars in the colony is given by

$\dfrac{1}{12}\times 4836\\\\=403$

Hence, there are 403 cars in the colony.