Question

In a certain town, 25% families own a cell phone, 15% families own a scooter and 65%
families own neither a cell phone nor a scooter. If 1500 families own both a cell phone
and a scooter, then the total number of families in the town is

Answer 1

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Answer 2

The total number of families in the town is 30000.

Step-by-step explanation:

Since we have given that

Percentage of families own a cell phone= 25%

Percentage of families own a scooter = 15%

Percentage of families neither own = 65%

So, it becomes,

$P(C\cup S)'=1-P(C\cup S)\\\\0.65=1-P(C\cup S)\\\\1-0.65=P(C\cup S)\\\\0.35=P(C\cup S)$

So, it becomes,

$P(C\cup S)=P(C)+P(S)-P(C\cap S)\\\\0.35=0.25+0.15-x\\\\0.35=0.40-x\\\\0.05=x$

So, it becomes,

$0.05\times \text{Total number of families in the town}=1500\\\\\text{Total number of families in the town}=\dfrac{1500}{0.05}=30000$

Hence, the total number of families in the town is 30000.