Question

Item 56

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.

Answer 1

Question 1:

There are 25 questions on the test.

Each question is worth 4 marks each.

Question 2:

Your friend answered 19 questions correctly

Explanation:

Question 1:

question answered = 24

percent earned = 96%

total number of points = 100%

`(questions answered )/(percentage earned)` x 100

`(24)/(96)` x 100 ⇒ 0.25 x 100 ⇒ 25

there are 25 questions on the test

`(100)/(25) = 4`

each question is 4 marks each

Question 2:

percent earned by your friend = 76%

(percent earned by your friend x total number of question) ÷ 100

76 x 25 ÷ 100

1900 ÷ 100

= 19

Answer 2

a 25 questions, 4 points b 19 questions

Explanation:

a 96:100 = 24 : x

x = (100 x 24)/96 = 25 questions

100 : 25 = 4 points

b 76:100 = x : 25

x = (76 x 25)/100 = 19 questions