Question

At a tennis tournament, 3 out of the first 9 students who entered the arena were carrying tennis rackets. Based on this information, if 450 students were at the arena, how many students could be expected to be carrying a tennis racket?

a) 50 students
b) 150 students
c) 300 students
d) 135 students

Answer 1

To determine the expected number of students carrying tennis rackets, we apply the ratio of 3 out of 9 students to the total 450 students, resulting in 150 students expected to carry rackets.

Step-by-step explanation:

The question asks us to determine how many students could be expected to be carrying a tennis racket at a tennis tournament, given that 3 out of the first 9 students were carrying rackets and there were 450 students at the arena in total.

To solve this, we use a proportion based on the initial observation: if 3 out of 9 students have rackets, we can simplify this ratio to 1 out of 3 (since 3 divided by 9 equals 1 divided by 3). Then, we apply this ratio to the total number of students at the event:

1. Multiply the total number of students by the fraction of students expected to have rackets: 450 * (1/3).
2. Calculate the product to find the expected number of students with rackets: 450 / 3 = 150.

Therefore, the expected number of students carrying tennis rackets is 150 students.