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There are 150 vehicles in a parking place. Each vehicle is either a bike or a car, and is either red or green. Sixty vehicles are red, and 100 vehicle
Question

There are 150 vehicles in a parking place. Each vehicle is either a bike or a car, and is either red or green. Sixty vehicles are red, and 100 vehicles are cars. If there are 20 green bikes, how many red cars are there?

A.

70

B.

30

C.

40

D.

50

Correct option is B

Given:
Total vehicles = 150
Red vehicles = 60
Green vehicles = 150 - 60 = 90
Cars = 100
Bikes = 150 - 100 = 50
Green bikes = 20

Solution:

Now, green vehicles = green bikes + green cars.
Thus, Green cars = Green vehicles - Green bikes
Green cars = 90 - 20 = 70

Now, Total cars = 100

Thus, Red cars = Total cars - Green cars
Red cars = 100 - 70
Red cars = 30

But wait, cross-verifying:

Red vehicles = 60

Red cars = ?

Red bikes = ?

If red cars = 30, then red bikes = 60 - 30 = 30.

Now bikes total = 50

Green bikes = 20

Red bikes = 30

Total bikes = 20 + 30 = 50 (matches)

Thus, everything is matching correctly!

Therefore, number of red cars = 30

Thus, correct answer is (b) 30

Final Answer: (b) 30

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