Question

In a residential area with 600 families 3/5 owned scooter, 1/3 owned car, 1/4 owned bicycle , 120 families owned scooter and car, 86 owned car and bicycle while 90 families owned scooter and bicycle owned atleast two types of vehichle​

Answer 1

Answer:

I think the answer could be around 156.5

Approx it as 157.

I tried using Venn diagram.

Explanation in the figure attached.

Answer 2

In the residential are number of families owned atleast two types of vehicles  is 136

Step-by-step explanation:

Given:

• 3/5 families owned scooter
• 1/3 families owned Car
• 1/4 families bicycle

To find: Number of families owned atleast two types of vehicles

Solution:

Let S, C and represents seots of families who owned Scooter, Car and Bicycle respectively.

n( u) = 600

n(s) = 3/5 (600)

n(S) = 360

n(C) = 1/3 (600)

n(C) = 200

n(B) = 1/4 (600)

n(B) = 150

n(S ∩ C ∩ B) = 2/15 (600)

From the venn diagram which has given below

The number of families owned atleast two types of vehicles

⇒ 40 + 6+ 10+ 80

= 136

The number of families owned atleast two types of vehicle  = 136

The number of families owned no vehicle

= 600 - (owned atleast one vehicle)

= 600 - (230 + 40 + 74 +6 +54 +10 +80)

= 600 - 494

= 106

The number of families owned no vehicle = 106

Final answer:

The number of families owned atleast two types of vehicle  is 136

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