Question

I answered the question but I don't think it is right could you help me?

Answer 1

• Science: 1080 students

,

• Social Studies: 720 students

,

• Reading: 360 students

,

• Math: 540 students

Step-by-step explanation

Assuming that each student can pick only one subject as their favorite, we can find the total number of students that were surveyed:

• Science: 30 students

,

• Social Studies: 20 students

,

• Reading: 10 students

,

• Math: 15 students

So,

`30+20+10+15=75`

In total, 75 students were surveyed. Based on this survey, we have can conclude the proportion of students that have each subject as their favorite,

`\begin{gathered} \begin{cases}Science:(30)/(75)=(2)/(5) \\ Social\text{ }studies:(20)/(75)=(4)/(15) \\ Reading:(10)/(75)=(2)/(15)\end{cases} \\ \begin{cases}Math:(15)/(75)=(1)/(5) \\ \end{cases} \end{gathered}`

If there are 2,700 students in the school, based on this survey, we can expect that the proportions will be the same,

`Science:(2)/(5)\cdot2700=1080`
`Social\text{ }studies:(4)/(15)\cdot2700=720`
`Reading:(2)/(15)\cdot2700=360`
`Math:(1)/(5)\cdot2700=540`

Hence, the number of expected students for each of the favorite subjects is:

• Science: 1080 students

,

• Social Studies: 720 students

,

• Reading: 360 students

,

• Math: 540 students