Question

13 Alyssa took a math test with 20 questions and she answered 16 questions correctly. In order get an A, she needs to answer at least 90 percent of the questions correctly. To. Did Alyssa get an A on this math test? Explain b. How many questions would Alyssa need to answer correctly in order to get an A c. On the same exam, Alyssa's friend Jessie answered three times more questions correct than incorrect. Who got a higher percentage of the test questions correct, Alyssa or Jessie?

Answer 1

Below.

Explanation:

a. She did not get an A because 16 out of 20 = 80%.

b. She needed 18 correct answers to get an A.

c. Jessie scored 3 * correct more than incorrect which means she answered 15 correctly and 5 incorrectly = 75% correct.

So Alyssa got a higher percentage correct.

Answer 2

Explanation:

Total number of questions in the test is 20.

Total number of questions that Alyssa answered correctly is 16.

The percentage of questions that she answered correctly would be

16/20 × 100 = 80%

To get an A, she needs to answer 90% of the questions correctly. Let x represent the number of questions that she needs to answer correctly to get an A. Therefore,

x/20 × 100 = 90

100x = 20 × 90 = 1800

x = 1800/100 = 18

She would need to answer 18 questions correctly to get an A

Alyssa's friend Jessie answered three times more questions correct than incorrect. This means that for every 3 correct answers, she had 1 wrong answer. For 15 correct answers ,she would get 5 wrong answers. Therefore, she got fewer correct answers than Alyssa.

Her percentage is

15/20 × 100 = 75%

Alyssa got a higher percentage of the test questions correct.