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

Answer:

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

Step-by-step 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:

$\implies \frac{750}{500} = \frac{1200}{m} \\\implies m = {1200} \times \frac{500}{750} = 800$

or, m = 800

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