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1.)In 2020, a state college graduated a total of 17,528 students. Of all the students, only 6.3% were majors in chemistry. How many students majored in chemistry? Round to a whole number.

2.)In the past year, 11% of all college students preferred to take classes online. If this accounts for 642 people, how many total students were in the survey? Round to a whole number.
a) 1. 1105, 2. 5836
b) 1. 1104, 2. 5840
c) 1. 1106, 2. 5834
d) 1. 1107, 2. 5832

1 Answer

3 votes

Final answer:

To find the number of students who majored in chemistry, multiply the total number of students by the percentage that majored in chemistry. For the second question, set up a proportion to find the total number of students in the survey.

Step-by-step explanation:

To find the number of students who majored in chemistry, we can multiply the total number of students (17,528) by the percentage of students who majored in chemistry (6.3%).

First, we convert 6.3% to a decimal by dividing by 100: 6.3/100 = 0.063.

Next, we multiply 0.063 by 17,528 to find the number of students who majored in chemistry: 0.063 * 17,528 = 1,103.

Therefore, approximately 1,103 students majored in chemistry.

For the second question, we can set up a proportion to find the total number of students in the survey. We know that 11% of all college students preferred to take classes online, and this accounts for 642 people. Let x represent the total number of students in the survey.

11/100 = 642/x

Cross-multiplying, we get 11x = 64200. Dividing both sides by 11, we find that x = 5840.

Therefore, the total number of students in the survey was 5840.

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