Question

Table: Favorite Subject: Math 6, Science 3, English 4, History 7.

Answer 1

Answer: There are 60 students who picked science as their favorite subject among 400.

Step-by-step explanation:

Since we have given that

Favorite subject   number of responses

Math                              6

Science                         3

English                          4

History                          7

Total                            20

As we can see that the proportion of science among all is given by

$\dfrac{3}{20}$

If the number of students = 400

so, Number of students who picked science as their favorite subject is given by

$\dfrac{3}{20}\times 400\\\\=3\times 20\\\\=60$

Hence, there are 60 students who picked science as their favorite subject among 400.

Answer 2

This is a ratio problem. First, we need to add the number of students polled.

7 + 4 + 3 + 6 = 20

Next, look at how many out of 20 students selected Science.

3 out of 20.

Say it this way:

3 is to 20 as ? is to 400.

Express it this way:

3/20 = x/400

Cross multiply to eliminate the denominators.

3 x 400 = 20 x  Now solve for x.

1200 = 20 x

x = 60

Check it!

Does 60/400 reduce to 3/20? Yes!

60 students are predicted to select science out of 400