Question

A student surveys households asking whether there are children in the household and whether there are pets in the household. The student discovers that the ratio of the number of households with pets to those with no pets is 2:3. Complete the two-way table with the results of the survey.
                          Pets         No Pets
Children             16
No Children        8                 16

(find the missing spot for how many people, with children, have no pets)

Answer 1

8 hope i helped have a great day

Answer 2

Answer:

Hence, the complete two-way table is as follows:

                                Pets         No Pets

Children                   16               20

No Children              8                 16

Step-by-step explanation:

Let the missing spot be 'a'

It was given that:

The ratio of the number of households with pets to those with no pets is 2:3.

Number of households with pets are: 16+8=24

This means that:

if the total number of households are x then,

$\dfrac{2}{5}\times x=24\\\\\\i.e.\\\\\\x=\dfrac{24\times 5}{2}\\\\\\x=60$

Hence, the number of households with no pets are:

$\dfrac{3}{5}\times 60\\\\\\=36$

This means that the sum of second column is 36 i.e.

a+16=36

i.e. a=20

The table is as follows:

                              Pets         No Pets

Children                   16               20

No Children              8                 16