1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
solniwko [45]
1 year ago
9

A teacher gave a test to a class in which 10% of the students are juniors and 90% are seniors. The average score on the test was

84. The juniors all received the same score, and the average score of the seniors was 83. What score did each of the juniors receive on the test
Mathematics
1 answer:
IceJOKER [234]1 year ago
5 0

Each junior  receives 93 score on the test. It is also the average score of the juniors.

Given Information

It is given that 10% of the strength of the class consists of juniors and 90% consists of seniors.

Let us assume the total strength of the class is 100, then,

Number of seniors = 90

Number of juniors = 10

It is also given that the average score of the class = 84

And, average score of the seniors = 83

Another given information is that all the juniors all received the same score, which is their average score. Let it be x.

Average Score of Juniors

Total marks obtained by the seniors = Number of seniors × Average score of seniors

= 90 × 83

= 7470

Total marks obtained by the juniors = Number of juniors × Average score of juniors

= 10x

Average marks on the test = Total marks / Total number of students

⇒ 84 = (7470 + 10x)/100

⇒ 84 × 100 = 7470 + 10x

⇒ 10x + 7470 = 8400

⇒ 10x = 8400-7470

⇒ 10x = 930

⇒ x = 930/10

⇒  x = 93

Thus, each junior scores 93 on the test.

Learn more about average here:

brainly.com/question/24057012

#SPJ4

You might be interested in
Danielle has her finals coming up and she's worried she'll fail her class. Her past 3 test grades were a 72. an 85, and a 68. Sh
natka813 [3]

Answer:

55

Step-by-step explanation:

7 0
3 years ago
What did Tarzan like to play?
Mazyrski [523]

Answer:

Step-by-step explanation:

7 0
3 years ago
In how many ways can the letters in the word "math" be arranged?
BlackZzzverrR [31]
Number of ways = 4! = 4 x 3 x 2 x 1 = 24

Answer: 24
8 0
3 years ago
Determine the slope of the line represented by y = 2x - 9
lbvjy [14]

Answer:

2

Step-by-step explanation:

2x is the slope which is just 2

7 0
2 years ago
The diagram shows two rectangles which have the same area . Find the value of y.​
jeka57 [31]

Answer:

y = 4

Step-by-step explanation:

Since the 2 rectangles have the same area, then

12.5 × 2y = 5 × 20

25y = 100 ( divide both sides by 25 )

y = 4

7 0
3 years ago
Other questions:
  • The slope of the line shown in the graph is ? and the y intercept of the line is ?
    15·1 answer
  • Which point is collinear to the point (0, 0)?
    12·1 answer
  • What is the length of a side of a cube with a volume of 729 m3?
    12·1 answer
  • Help plz! loads of points!
    6·1 answer
  • True or False
    9·1 answer
  • A baseball is thrown into the air from a height of 5 feet. The ball reaches a maximum height of 43.5 feet and spends a total of
    7·2 answers
  • Sophie pays m dollars to rent a car for the weekend. On the drive home, she buys $25 worth of gasoline. Her friend Melody pays f
    7·2 answers
  • Please help me with this question!!
    11·1 answer
  • Ami has a mass of 72 kg.
    5·1 answer
  • Simplify the expression:<br> 5 + 9f - 10 + 5
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!