Question

in a certain town 30 % family is on a scooter and forty percent on a car. fifty percent on neither a scooter nor a car. total 2000 families on both a scooter and a car, which of the following statements are correct ?

Answer 1

$\textbf {Hey there, here is the solution.}$

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Scooter = 30% (Given)

Car = 40% (Given)

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STEP 1: Find the percentage of families that own both scooter and car:

Given that neither scooter nor car = 50%

⇒ 30 + 40 - 50 = 20%

⇒ 20% of families own both scooter and car

⇒ Statement (1) is correct.

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STEP 2: Find the percentage of families that own either a scooter and car:

Percentage of families who own either = 30 + 40 - 20 = 50%

⇒ 50% of families that own either a scooter and car:

⇒ Statement (2) is wrong.

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STEP 2: Form equation:

Families who owned both scooter and car = 20%

Families who own both scooter and car = 2000

20% = 2000

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STEP 3: Find the total number of families in town

20% = 2000

1% = 2000 ÷ 20 = 100

100% = 100 x 100 = 10000

⇒ 10000 families live in the town

⇒ Statement (3) is correct

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$\textbf {Cheers.}$