Class 9:-There are some motorcycles and cars in a parking ground.The t

1.	Class 9:-There are some motorcycles and cars in a parking ground.The total number of vechicles is 21 and the total number of wheels is 60. Find the number of motorcycles and cars
Answer» ✬ Cars = 9 ✬ ✬ Motorcycles = 12 ✬ Step-by-step explanation: GIVEN: Total number of vehicles in park is 21. Total number of wheels in park is 60. To Find: What is the number of motorcycles and cars in park ? Solution: Let number of cars be X and number of bikes be y. Therefore, ➟ Cars + Motorcycles = Total vehicles ➟ x + y = 21 ➟ x = 21 – y ......(1) Now, We know that cars have 4 wheels and bikes have 2. Then, ➟ Car's wheel + Bike's wheels = Total wheels ➟ 4 $\times$ x + 2 $\times$ y = 60 ➟ 4x + 2y = 60......(2) [ Put the value of x in equation (2) from (1) ] $\implies{\rm }$ 4(21 – y) + 2y = 60 $\implies{\rm }$ 84 – 4y + 2y = 60 $\implies{\rm }$ 84 – 2y = 60 $\implies{\rm }$ 84 – 60 = 2y $\implies{\rm }$ 24 = 2y $\implies{\rm }$ 24/2 = y $\implies{\rm }$ 12 = y Hence, ➙ Number of motorcycles = y = 12 ➙ Number of cars = x = (21 – y) => (21 – 12) => 9

Class 9:-There are some motorcycles and cars in a parking ground.The total number of vechicles is 21 and the total number of wheels is 60. Find the number of motorcycles and cars

Answer»

✬ Cars = 9 ✬

✬ Motorcycles = 12 ✬

Step-by-step explanation:

GIVEN:

To Find:

Solution: Let number of cars be X and number of bikes be y. Therefore,

➟ Cars + Motorcycles = Total vehicles

➟ x + y = 21

➟ x = 21 – y ......(1)

Now,

Then,

➟ Car's wheel + Bike's wheels = Total wheels

➟ 4 $\times$ x + 2 $\times$ y = 60

➟ 4x + 2y = 60......(2)

[ Put the value of x in equation (2) from (1) ]

$\implies{\rm }$ 4(21 – y) + 2y = 60

$\implies{\rm }$ 84 – 4y + 2y = 60

$\implies{\rm }$ 84 – 2y = 60

$\implies{\rm }$ 84 – 60 = 2y

$\implies{\rm }$ 24 = 2y

$\implies{\rm }$ 24/2 = y

$\implies{\rm }$ 12 = y

Hence,

➙ Number of motorcycles = y = 12

➙ Number of cars = x = (21 – y)

=> (21 – 12)

=> 9