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------------------------------------------------ In a random survey, 8 out of every 13 students were taking Pre-Algebra. How many students out of a larger population of 8,000 students would be taking Pre-Algebra?

A. 3,076 students
B. 12,800 students
C. 4,923 students
D. 8,000 students

Answer :

We are told that $8$ out of every $13$ students are taking Pre-Algebra. This means the fraction of students taking Pre-Algebra is

$$\frac{8}{13}.$$

To determine how many out of the $8000$ students are taking Pre-Algebra, we multiply the fraction by the total number of students:

$$\frac{8}{13} \times 8000.$$

Carrying out the multiplication:

1. First, multiply $8000$ by $8$:

$$8000 \times 8 = 64000.$$

2. Now, divide $64000$ by $13$:

$$\frac{64000}{13} \approx 4923.08.$$

Since we are dealing with whole students, we round the result to the nearest whole number, which gives us:

$$4923.$$

Thus, out of $8000$ students, approximately $4923$ students are taking Pre-Algebra.