Five out of every seven households have cable TV. If 42,000 households in a certain city have a TV, how many do not have cable TV?
Answers
because 42000 - 5/7*42000= 42000-30000=12000
The number of households not having cable TV is 16,800.
Given: Five out of every seven households have cable TV. 42,000 households in a certain city have a TV.
To Find: The number of households not having cable TV.
Solution:
Let the total number of households be 'x'.
Fraction of households having cable TV = 5 / 7
So, the number of households having cable TV = 5x / 7
Number of households not having cable TV = x - ( 5x / 7 )
= 2x / 7
It is said that the number of households having cable TV is 42000. So, framing an equation with the given information, we get;
5x / 7 = 42000
⇒ x = ( 42000 × 7 ) / 5
⇒ x = 58800
So, the number of households not having cable TV = 2x / 7
= ( 2 × 58800 ) / 7
= 16,800
Hence, the number of households not having cable TV is 16,800.
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