Question

It was recently estimated that homes without children outnumber homes with children by about 8 to 7. If there are 3870 homes in a county, how many of them are homes without children?

Answer 1

Answer: x = 2,340 homes without children

There are 2,340 homes without children.

Explanation:

'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