It was recently estimated that homes without children outnumber homes with children by about seven to five. If there are 2556 homes in a county, how many of them are homes without children?

Mathematics · Middle School · Thu Feb 04 2021

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According to the question, It was estimated that homes without children out of number of  homes with children by about 7: 5

find:- If there are 2556 homes in a county, how many of them are homes without children=?

let us assume home without children are x

then, number of  home with children are 2556-x

now compare the ratio :-

x / 2556-x = 7 / 5

cross multiple, x(5)= 7(2556-x)

5x=17892-7x

5x+7x=17892

12x=17892

x=17892/12

x=1491   (number of home without children )

 

 

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