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Nikolay [14]
3 years ago
7

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?
Mathematics
1 answer:
damaskus [11]3 years ago
4 0

Answer: x = 2,340 homes without children

There are 2,340 homes without children.

Step-by-step 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

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gogolik [260]

Answer:

The answer to your question is: x = 1, y = 4

Step-by-step explanation:

I'll change decimals to fractions

4.5 = 9/2

12.5 = 25/2

3.25 = 13/4

0.75 = 3/4

                             -9/2 x - 2 y = - 25/2         (I)

                             13/4 x  -   y  = - 3/4            (ll)

Process

               from (II)     y = 13/4x  + 3/4

Sunstitution             -9/2x -2(13/4 x + 3/4) = - 25/2

                               -9/2 x - 13/2 x - 3/2 = -25/2

Multiply by 2         -9 x - 13 x - 3 = -25

                             -22 x = -25  + 3

                            -22 x = -22

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                            x = 1

                             y = 13/4 (1) + 3/4

                             y = 16/4

                             y = 4                                          

7 0
3 years ago
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3 years ago
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