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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

10000
20000
30000
40000

The correct answer is: 30000

Let the total population of town be $x$
.
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell therefore fraction numerator 25 x over denominator 100 end fraction plus fraction numerator 15 x over denominator 100 end fraction minus 1500 plus fraction numerator 65 x over denominator 100 end fraction equals x end cell row cell not stretchy rightwards double arrow fraction numerator 105 x over denominator 100 end fraction minus x equals 1500 end cell row cell not stretchy rightwards double arrow fraction numerator 5 x over denominator 100 end fraction equals 1500 end cell row cell not stretchy rightwards double arrow x equals 30000 end cell end table$

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