Question

Miguel conducts a survey of 750 college students to see how many of them have a part-time job. His results show that 500 of the 750 students have a part-time job. Kureshi does a survey of 1200 college students to see how many of them have a part-time job. His results are proportional to Miguel's. How many of the students that Kureshi surveyed responded that they have a part time job?

Answer 1

700 out of 1100 students surveyed have a part time job

Explanation:

took the test

Answer 2

800 students surveyed by Kureshi responded that they have a part time job.

Explanation:

Miguel's Survey:

Total students surveyed = 750

Number of students doing part time job = 500

So, the ratio of Total Students : Students doing part time = 750: 500 ... (1)

Kureshi's Survey:

Total students surveyed = 1200

Let Number of students doing part time job = m

So, the ratio of Total Students : Students doing part time = 1200 : m ... (2)

Now, the ratio in (1) and (2) are equal:

`\implies (750)/(500)  = (1200)/(m) \\\implies m = {1200} * (500)/(750) =  800`

or, m = 800

Hence, 800 students surveyed by Kureshi responded that they have a part time job.