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

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

Answer 2

The number of households that have children but no pet in the survey is 20.

How many people, with children, have no pets?

The first step is to determine the number of households that do not have pets.

Houeholds with no pets = (3 x houeholds with pets) / 2

Households with pets = 8 + 16 = 24

Houeholds with no pets = (3 x 24) / 2 = 36

Households that have children but no pets = 36 - 16 = 20

To learn more about subtraction, please check: https://brainly.com/question/854115