Problema Solution

it was recently estimated that homes without children outnumber homes homes with children by about nine to seven. if there are 4160 homes in a country, how many of them are homes without children?

Answer provided by our tutors

Let

'x' represent the number of homes without children

'y' represent the number of homes with children

x : y = 9 : 7

Since the total number of homes is 4160 means x + y = 4160.

From x + y = 4160 follows y = 4160 - x.

Plug y = 4160 - x into x : y = 9 : 7

x : (4160 - x) = 9 : 7

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click here to see the system of equations solved for x

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x = 2,340 homes without children

There are 2,340 homes without children.