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
lara [203]
3 years ago
5

A teacher bought 32 notebooks, 72 pencils and 24 erasers to make identical packages with some notebooks, some pencils and some e

rasers for his students. He used everything he bought, and every student got a package. What is the largest number of students the teacher can have in his class? How many notebooks, pencils, erasers would be in each package?
Mathematics
2 answers:
Damm [24]3 years ago
7 0
I think that if they are all identical packages at most there are 8 class members. I am thinking that the answer is 8 because 8 is the greatest common factor between all three numbers(24,32,72).

Cannot go higher with out giving half a pencil to someone.Or 1/3 of a notebook.
But, all the numbers are divisible by 8. 

So, each of the 8 students would get in their package:
72/8= 9 pencils
32/8= 4 notebooks
24/8= 3 erasers

Final Answer: 8 people at most are in this class and each student receives an identical package containing 4 notebooks, 9pencils, and 3 erasers.

Hope this helped! Comment with any questions you still have on this!

lianna [129]3 years ago
7 0
Given that a<span> teacher bought 32 notebooks, 72 pencils and 24 erasers to make identical packages with some notebooks, some pencils and some erasers for his students.

</span>Given that h<span>e used everything he bought, and every student got a package the largest number of students the teacher can have in his class</span> represents the highest common factor of 32, 72 and 24.

32 = 2 x 2 x 2 x 2 x 2
72 = 2 x 2 x 2 x 3 x 3
24 = 2 x 2 x 2 x 3

HCF = 2 x 2 x 2 = 8

Therefore, the <span>largest number of students the teacher can have in his class is 8 students.

The number of notebooks in each package is given by 32 / 8 = 4 notebooks.
The number of pencils in each package is given by 72 / 8 = 9 pencils
The number of erasers in each package is given by 24 / 8 = 3 erasers
</span>
You might be interested in
2a=9b<br><br> Use the equality to find ratios of a:b
nevsk [136]

Answer:

3:6, 18:4 keep exploring man!

Step-by-step explanation:

think of numbers to make them both true like ex 3 for a and 6 for b so in this case you could do 3:6

7 0
2 years ago
You are considering the services of three different employment agencies, all of which can get you a job that starts at $2,000 a
Sunny_sXe [5.5K]

Answer:

Agency C offers the least expensive overall fee

Step-by-step explanation:

Alone from gross salary, you would make 24000 a year.

Agency A

24000 - ( 2000 x 0.5)

= 23,000

$1000 fee

Agency B

24000 - ( 2000 x 0.1 ) x 6

= 24000 - 200 x 6

= 24000 - 1200

= 22,800

$1200 fee

Agency C

24000 - (500 + 100)

= 24000 - 600

= 23,400

$600 fee

4 0
2 years ago
Sophia is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The one-time fe
notka56 [123]

Answer:

40t+100

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Which of the following is a result of shifting a circle with equation (x + 3)² + (y - 2)² = 36 left 3 units?
Furkat [3]
A circle with equation:
( x + 3 )² + ( y - 2 )² = 36
Center of a circle: C ( - 3, 2 )
r = 6 ( the radius of a circle stays the same )
After shifting 3 units left : C 1 ( - 6, 2 ).
Answer:
( x + 6 )² + ( y - 2 )² = 36 
5 0
3 years ago
Read 2 more answers
I need help please! ​
Sophie [7]

Answer/Step-by-step explanation:

Area of trapezium = ½*(AD + BC)*AB

Area = 42 cm²

AD = (x + 8) cm

BC = (x + 5) cm

AB = x cm

Plug in the values into the equation

42 = ½((x + 8) + (x + 5))*x

42 = ½((x + 8 + x + 5)*x

42 = ½(2x + 13)*x

Multiply both sides by 2

42*2 = (2x + 13)*x

84 = 2x² + 13x

2x² + 13x = 84

Subtract both sides by 84

2x² + 13x - 84 = 0

4 0
2 years ago
Other questions:
  • What is the LCD of 1/4 and 2/3?
    13·2 answers
  •  I NEED HELP NOW OR I RPEAT 8
    5·1 answer
  • Britney sells mattresses at a furniture store. She makes a 9.75% commission on each mattress she sells. Last week, Britney sold
    6·1 answer
  • I don’t need an explanation but someone please help
    6·1 answer
  • At the movie theatre, child admission is $5.70 and adult admission is $9.75 . On Friday, 173 tickets were sold for a total sales
    9·1 answer
  • Mahala is standing and fishing on a dock that is 2 1/4 feet above the surface of the water in the pond. Her baited hook is 1.5 f
    7·1 answer
  • What is the reciprocal of 10/13
    6·2 answers
  • Hhhfgdfhgfhtdfhsfhdgjdjdghfhdfjgfh
    6·1 answer
  • Find the length of the side of a square whose area is 57.1536
    5·1 answer
  • What is the slope of the line that goes through the points (-4,2) and (8,5)?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!