In a certain group of families living together in a certain locality of Bangalore, 35% families own a smart
television and 25% own a luxury hutch-back. 55% families own neither a smart television nor a luxury
hutch-back. 15 families own both a smart television and a luxury hutch-back. How many families are there
in the group?
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The number of families owning a smart television are :35/100
The ones owning a hutchback:25/100
Getting the total who own smart television and hutchback=60/100
55% of the remaining neither own smart or hutch back :=55/100×40/100=22/100
Adding this to the total we get:22/100+60/100=82/100
The remainder =100/100-82/100=18/100
The remainder represents those who own both televisions and this represents the 15 families.
Getting the total families, we use cross multiplication.
100/18 × 15=84. 333
Since we cannot have a fraction family, then we give our answer as a whole number which is 84.
Therefore the total families =84
The ones owning a hutchback:25/100
Getting the total who own smart television and hutchback=60/100
55% of the remaining neither own smart or hutch back :=55/100×40/100=22/100
Adding this to the total we get:22/100+60/100=82/100
The remainder =100/100-82/100=18/100
The remainder represents those who own both televisions and this represents the 15 families.
Getting the total families, we use cross multiplication.
100/18 × 15=84. 333
Since we cannot have a fraction family, then we give our answer as a whole number which is 84.
Therefore the total families =84
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