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
creativ13 [48]
3 years ago
11

Pensils are sold in packages of 10 and erasers are sold in packages of 6. What is the least number of pensils and erasers you ca

n buy so that there is one pencil for each eraser with none left over.
Mathematics
1 answer:
asambeis [7]3 years ago
8 0
To understand the problem consider the following cases.

i)

If we buy 1 packet of pencils, and 2 packet of erasers, 

we have 1*10=10 pencils and 2*6=12 erasers.

ii)

If we buy 3 packet of pencils, and 4 packet of erasers, 

we have 3*10=30 pencils and 4*6=24 erasers.


So let a and b be the correct number of packets of pencils and erasers respectively.

That is the least numbers a and b, such that 10a=6b.

10a=6b

divide both sides by 10:

a= \frac{6b}{10}= \frac{3b}{5}

divide both sides by b:

\frac{a}{b} =  \frac{3}{5}

the ratio a:b cannot be simplified any further. This means that the smallest (natural) numbers a and b such that \frac{a}{b} = \frac{3}{5} are a=3 and b=5


Answer:


3 packages of pencils, 5 packages of erasers.

You might be interested in
Are 25 milligrams lighter or heavier than 25 centigrams
masya89 [10]

Answer:

<em>25 mg. is lighter than 25 cg.</em>

<em />

Step-by-step explanation:

<em>Well,</em>

<em />

<em>The prefix "milli" means thousandth and the prefix "centi" means hundredth.  So a milligram will be one-tenth of a centigram.</em>

<em />

<em>10 mg. = 1 cg.</em>

<em>25 mg. = 2.5 cg.</em>

<em />

<em>2.5 cg. < 25 cg.</em>

<em />

<em>25 mg. is lighter than 25 cg.</em>

8 0
3 years ago
Read 2 more answers
What does 4C3 equal?
Hatshy [7]
I believe that would be 64C.
8 0
3 years ago
Read 2 more answers
a spinner is divided into five equal sections labeled 1 to 5 what is the probability that the spinner will land on 3
Vesna [10]
Since there are 5 possible outcomes and 3 is only one of the outcomes, the probability would be 1/5 or 20%
7 0
3 years ago
Read 2 more answers
The angles featured below are ______ angles
oee [108]

Answer:

its normall

Step-by-step explanation:

5 0
2 years ago
The surface inside the circles will be painted green. The surface outside the circles will be painted white. What is the ratio o
Trava [24]
B / a right .?????/////.
4 0
3 years ago
Read 2 more answers
Other questions:
  • Someone please help this is due tomorrow;(
    12·1 answer
  • At a football game, your team lost 55 yards on the first play and then 77 yards on the second play. Which expression gives the t
    7·2 answers
  • Need this answered ASAP!
    11·1 answer
  • two cylindrical candles have a scale factor of 3:5. The larger candle has a volume of 40(3.14) cubic inches. Fund the volume of
    15·1 answer
  • there are 45 students in the six grade at garden valley middle school. nine of them have freckles. what is the ratio 26 graders
    9·2 answers
  • You are playing a board game. All even numbers are positive, and all odd numbers are negative. A positive
    9·1 answer
  • A pentagonal prism is cut by a plane perpendicular to the base. What is the shape of the cross section that is formed?
    11·1 answer
  • How many 1/6 cup serving of rice and in 2/3 cup of rice
    13·1 answer
  • Find the answer for x​
    9·1 answer
  • When deriving the quadratic formula by completing the square, what expression can be added to both sides of the equation to crea
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!