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Maths-

General

Easy

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

(a) 10000
20000
30000
40000

The correct answer is: 30000

Let the total population of town be $x$ .

$therefore blank fraction numerator 25 x over denominator 100 end fraction plus fraction numerator 15 x over denominator 100 end fraction minus 1500 plus fraction numerator 65 x over denominator 100 end fraction equals x$
$rightwards double arrow blank fraction numerator 105 x over denominator 100 end fraction minus x equals 1500$
$rightwards double arrow blank fraction numerator 5 x over denominator 100 end fraction equals 1500$
$rightwards double arrow blank x equals 30000$

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