Question

Question 1

You answer 24 questions on a 100-point test correctly and earn a 96%.

a. All of the questions are worth the same number of points. How many questions are on the test? How many points is each question worth?

There are
questions on the test.

Each question is worth
points.

Question 2
b. Your friend earns a grade of 76% on the same test. How many questions
did your friend answer correctly?

Your friend answered
questions correctly.

plz help

Answer 1

a) There are Total 25 Question on the test.

Each question is worth 4 points.

b) Your friend answered 19 questions correctly

Explanation:

Answer 2

a) There are Total 25 Question on the test.

Each question is worth 4 points.

b) Your friend answered 19 questions correctly.

Explanation:

Given:

Question answered =24

Percent earn = 96%

Total point test = 100

We will first solve for part a.

We need to find Total Question on the test and Points worth each question.

Now We know that percent earn is equal to Question answered divided by Total Question on test and ten multiplied by 100.

Framing in equation form we get;

`Percent\ earn = \frac{\textrm{Question Answered}}{\textrm{Total question on test}}* 100\\ \\\textrm{Total question on test} = \frac{\textrm{Question Answered}}{\textrm{Perecent earned}}* 100`

Substituting the given values we get;

Total question on test =
`(24)/(96)* 100 =25`

Hence There are Total 25 Question on the test.

Now we will find each question worth points.

each question worth points can calculated by dividing Total Point test with total number of question on the test.

Framing the equation we get;

each question worth points =
`(100)/(25) = 4\ points`

Hence Each question is worth 4 points.

Now Solving for part b.

Given:

Percent earn by friend = 76%

we need to find number of question answered correctly.

question answered correctly =
`\frac{\textrm{Percent earned by friend}* \textrm{Total Number of question}} {100}`

Substituting the values we get;

question answered correctly =
`(76* 25)/(100) = 19`

Hence Your friend answered 19 questions correctly.