Question

A student is taking a multiple choice test that has 30 questions. She needs to answer at least 20

questions to submit her test. In order to earn a passing grade, she needs to get at least as many
questions correct as she got incorrect (not left blank). In order to qualify for a scholarship, she
needs to score at least 100 points, where correct answers are worth 15 points each, and each
incorrect response is 7 points off

Answer 1

It is 450 as the answer

Explanation:

To submit her test, the student needs to answer at least 20 out of the 30 questions.

To earn a passing grade, she needs to have at least as many correct answers as incorrect ones.

Each correct answer is worth 15 points, and each incorrect response deducts 7 points.

To qualify for a scholarship, she needs to score at least 100 points.

To calculate the minimum number of correct answers she needs, we can start by determining the number of incorrect responses.

If she answers all 30 questions, the maximum number of incorrect responses would be 30.

If we subtract the maximum number of incorrect responses from the total number of questions, we can find the minimum number of correct answers she needs.

So, the minimum number of correct answers she needs is 30 - 30 = 0.

Since she needs at least as many correct answers as incorrect ones, she must answer all 30 questions correctly.

To calculate her score, we can multiply the number of correct answers by 15 and subtract the number of incorrect responses multiplied by 7.

Her score would be 30 * 15 - 0 * 7 = 450.

Since her score of 450 is higher than the required 100 points, she would qualify for the scholarship.

In summary, the student needs to answer all 30 questions correctly to submit her test, and she would earn a score of 450, qualifying for the scholarship.

Answer 2

To submit the test, the student needs to answer at least 20 out of 30 questions.
To pass the test, she needs to get at least as many questions correct as she got incorrect (not left blank) which means if she answered all the questions and got 60% right, she would pass.
To qualify for a scholarship, the student needs to score at least 100 points, where correct answers are worth 15 points each. If she answered all the questions and got all of them right, she would score 450 points.

It's important to notice that the statement only gives us information about what the student needs to do to submit the test, pass the test and qualify for scholarship, not if she actually does, it's also important to notice that all the conditions are independent, achieving one does not guarantee achieving the other.