A shop sells packs of black pens, packs of red pens and packs of green pens.
There are
2 pens in each pack of black pens
5 pens in each pack of red pens
6 pens in each pack of green pens
On Monday, the ratio of number of packs of pens sold was Black : Red : Green = 7 : 3 : 4

A total of 212 pens were sold.

Work out the number of green pens sold.

Answers

Answer 1

Answer:

The number of green pens sold are 96 green pens

Step-by-step explanation:

The given parameters for the packs of pens sold by the shop are;

The number of pens in each pack of black pens = 2 pens

The number of pens in each pack of red pens = 5 pens

The number of pens in each pack of green pens = 6 pens

The ratio of number of packs of pens sold Black : Red : Green = 7 : 3 : 4

The total number of pens sold = 212

Let 'x' represent the number of packs of pens sold

Therefore, the fraction of the packs the pens sold that are black pens = 7/(7 + 3 + 4) = 7/14 = 1/2

∴ 1/2 of the number of packs of pen sold = packs black pens = x/2

The fraction of the packs the pens sold that are red pens = 3/14

∴ 3/14 of the number of packs of pen sold = packs of red pens = 3·x/14

Similarly, we have;

The fraction of the packs the pens sold that are green pens = 4/14 = 2/7

∴ 2/7 of the number of packs of pen sold = packs of green pens = 2·x/7

Therefore, we have;

x/2 × 2 + 3·x/14 × 5 + 2·x/7 × 6 = 212

Where;

x/2 × 2 = The number of black pens sold

3·x/14 × 5 = The number of red pens sold

2·x/7 × 6 = The number of green pens sold

∴ 53·x/14 = 212

x = 212 × 14/53 = 56

∴ The number of packs of pens sold = x = 56 packs

The number of green pens sold = 2·x/7 × 6 = 2 × 56/7 × 6 = 96

The number of green pens sold = 96 pens.


Related Questions

Help 69 points
36 - 7p = -7 ( p - 5)
a) No Solution
b) One Solution
c) Infinite Solutions

Answers

Answer:

a) No Solution

Step-by-step explanation:

36 - 7p = -7(p - 5)

36 - 7p = -7p + 35

1 - 7p = -7p

1 = 0p

so a) No Solution

Answer:

[tex]36 - 7p = - 7(p - 5) \\ 36 - 7p = - 7p - 7 \times - 5 \\36 - 7p = - 7p + 35 \\ p \: terms \: togather \\ - 7p + 7p = 35 - 36 \\ 0p = - 1 \\ here \: we \: \: have \: 0p \\ so \: no \: solution \\ option(a) \\ thank \: you[/tex]

Help me ASAP pleaseeee

Answers

Answer:

no

yes

no

yes

Step-by-step explanation:

-0.1 = -10c who can answer this

Answers

Answer:

c = 0.01 | Hope I helped :')

Steps to answer:

1. Divide both sides by -10.

-0.1/-10=c

2. Simplify  -0.1/-10 to 0.01.

0.01=c

3 Switch sides.

c=0.01

---------------

Checking your answer:

−0.1=−10c

1 Let c=0.01.

−0.1=−10×0.01

2 Simplify  10×0.01  to 0.1.

-0.1=-0.1

Done by NeighborhoodDealer.

what is the value of the 8 in 5.349 in decimals​

Answers

0.08 in decimals !


sorry if it’s wrong but I hope this helped <33

Write an equation that models this situation. Anna wants to give each of the 12 friends who attend her birthday party 5 chocolate truffles. How many chocolate truffles (x) does Anna need?

A. 5/x = 12

B.5x = 12

C.x/5 = 12

D. x + 5 =12

Answers

The answer is B. 5x = 12

Which situations can be represented by an exponential function?

Select each correct answer.



The value of a vehicle decreases by 11% each year.
In a structure made of bricks, each row has 10 more bricks than the previous row.
A dentist's office accepts 15 new patients each month.
Every year, the number of online video subscriptions increases by 3 times what is was the previous year.

Answers

Answer:

The answer is IC and D I just finished the text

Step-by-step explanation:

A cell phone plan costs $200 to start. Then there is a $50 charge each
month. What is the total cost (start-up fee and monthly charge) to use the
cell phone plan for 3 months? *
O $150
$200
O $350
$750

Answers

Answer:

750

Step-by-step explanation:

200+50=250

250x3+750

Answer: $750

Step by step explanation:

There are 39 students in a class.
16 of the students are female. Find the percentage of the class that are female.
Give your answer to the nearest percent.

Answers

female students = 16/39
to get a percentage: (16/39)x100
percentage = 41%
the percentage is 41%

Mr. And Mrs. Jenkins wanted to make a down payment of $25,000 on a house. If the house costs $125,000, what percent is this?

Answers

Answer:

20%

Step-by-step explanation:

Mr. And Mrs. Jenkins wanted to make a down payment of $25,000 on a house. If the house costs $125,000, what percent is this?

The Percentage of the down payment is given as:

Down payment/Cost of the house × 100

Down payment = $25,000

Cost of the house = $125,000

$25,000/$125,000 × 100

= 20%

The percentage is 20%

the value of y is proportional to x when x=3 then y=15 which equation represents the relationship between x and y?​

Answers

Answer:

explaination

Step-by-step explanation:

# carry on learning

The solution is, A. y = 5x, the equation represents the relationship between x and y.

What is equation?

An equation can be stated as a  mathematical statement that is made up of two expressions connected by an equal sign.  In its normal form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

Direct proportion equation:

y = kx, where k is the coefficient of proportionality

We have:

x = 3 and y = 15

Using the equation to find the value of k:

15 = 3k

k = 15/3

k = 5

The equation of the line:

y = 5x

Correct choice is A

Hence, The solution is, A. y = 5x, the equation represents the relationship between x and y.

To learn more on equation click:

brainly.com/question/24169758

#SPJ6

Aline and Mihai drive to work. Aline drives 54 miles in 2.25 hours. Mihai drives 68 km in 2 hour 30 min. Work out the difference between their average speeds in km/h. 1 mile = 1.6 km

Answers

Answer:11.2

Step-by-step explanation:

Answer:

11.2

Step-by-step explanation:

According to the college board, the mean quantitative SAT scores score for female college board high school seniors in 2009 was 500. SAT scores are approximately Normally distributed with a population standard deviation of 100.A scholarship committee wants to give awards to college bound women who score at the 96th percentile or above on the SAT. what score does an applicant need? Include a well-labeled Normal curve as part of your answer (in the book it says there are 7 steps the 7th being a sentence to state what you found)

Answers

4.5 is correct So you can just copy that

Sandra wrote the sequence shown:
7, 14, 25, 40, 59
Complete each of the 2 activities for this Task.
Activity 1 of 2
What explicit expression can be used to find the nth term of this sequence?

Answers

Answer:

2n^2 + n + 4.

Step-by-step explanation:

7, 14, 25, 40, 59

The differences  are 7, 11, 15, 19 which is  arithmetic sequence so the given sequence is quadratic.

Compile a table:

n                     1      2      3      4      5

term               7    14    25    40    59

Diff:                    7      11     15     19

Diff:                      4       4      4            - this indicates that first part is 2n^2.

2n^2               2    8    18    32     50

term-2n^2      5    6    7     8        9

- the nth term for the last sequence is  5+ (n - 1)d =  

= 5 + (n - 1)* 1

= n + 4.

So nth term for the original sequence is 2n^2 + n + 4.

PLZ HELP DUE SOON!!!!!!!!!!!!!!!!
The figure shows a carpeted room. How many square feet of the room are carpeted?

A polygon that is a part of a rectangle is shown with perpendicular sides. The top is labeled 6 feet. The side on the left is labeled 8 feet. The base is labeled 2 feet, and the side adjacent to it on the right is labeled 3 feet

24 square feet
28 square feet
34 square feet
36 square feet

Answers

Answer:

36 ft

Step-by-step explanation:

Side = 8-3 = 5

6 x 5 = 30

3 x 2 = 6

Cheryl bought a sandwith or 5 1/2 dollars and a drink for $2.60 if she paid for her meal with $10 bill,how much money did she have left?Write your answer as a fration and in dollars and cent.Show Your Work.

Answers

Answer:

$1.90

Step-by-step explanation:

The answer choices are:

Y=-4
Y=1
X=-4
X=1

Answers

Answer:

y=1

Step-by-step explanation:

WORTH 67 PTS!! I WILL GIVE BRAIBLIEST!
Write an expression that is equivalent to
3/4a + 2/3 - 1/2a - 1/3 + 1/2a

3/4a + 2/3 - 1/2a - 1/3 + 1/2a
= _a + _


Answers

Answer:

7/4a + 1/3

1 3/4a + 1/3

Step-by-step explanation:

Answer:

1 3/4AN + 1/3

Step-by-step explanation:

Factor using GCF and Area Model: 2x^2+34x+140

Answers

Answer:

The Greatest Common Factor is 2

what is the circumference of a circle that that is d=23 ft.

Answers

72.26 is the answer I think

Answer:

72.26ft

Step-by-step explanation:

18 – x = 12

Please help ma

Answers

Answer:

x = 6

My Step-by-step explanation:

You can solve this problem through simple inspection. Because 18 – 6 = 12,

x= 6.

Answer: I don’t think this has a solution but

Step-by-step explanation:

The slope of a line is -1/5, and the y-intercept is 5. What is the equation of the line written in general form?

x - 5y - 5 = 0
x - 5y - 25 = 0
x + 5y - 25 = 0

Answers

Answer:

x + 5y - 25 = 0

Step-by-step explanation:

Equation of line in slope intercept form is given as:

[tex]y = mx + b \\ \\ plug \: m = - \frac{1}{5} \: \: and \: \: b = 5 \\ \\ y = - \frac{1}{5} x + 5 \\ \\ 5y = - x + 25 \\ \\ x + 5y - 25 = 0[/tex]

Answer:

x + 5y - 25 = 0

Charlie buys a pack of 8 thank you cards for 1.20$ using the pickles shown below. How much does he spend on each thank you card?

Answers

15 cents that should be how much it was on my test

Answer:

0.15

Step-by-step explanation:

Simplify the following expression completely
(5x4+5x3-17x2+6x)-(3x4+6x3-7x2-12)/x+2



Please show your work

Answers

Answer:

6x^2+3x-4/x

Step-by-step explanation:

first multiply to get (20+5x3-17x2+6x)-3x4+6x3-7x2-12/x+2

then remove the two opposites that add up to zero to get (20+15-34+6x)-6x3-7x2/x+2

then remove unnecessarry parentheses to get 1+6x-18-14/x+2 and then calculate to get 3+6x-4/x

then write all of the numerators above the common denominator to get 3x+6x^2-4/x and reorder the terms to get your solution which is 6x^2+3x-4/x

please give brainliest it took forever lol

Write the percent as a fraction in simplest form 3.2%

Answers

Answer:

4/125

Step-by-step explanation:

THIS IS URGENT

Simplify 5^3/4 divided by 5^5/9 by substituting a numerical value for a in the expression.

5^a

Answers

Answer:

a=7/36...............

During the soccer season, Brielle scored 7 more goals than Olivia. Together they scored 39 goals.
What was Brielle's score?

Answers

Answer:

32.

Step-by-step explanation:

39 - 7 = 32

32 + 7 = 39

Brielle scored 32 points.

I hope this helped! :) Have a nice day.

Can someone plz help me

Answers

Answer:

28 in

Step-by-step explanation:

Given is an isosceles triangle.

In an isosceles triangle, measure of the sides opposite to the equal angles are equal.

Therefore,

3x + 2 = x + 6

3x - x = 6 - 2

2x = 4

x = 4/2

x = 2 in

x + 6 = 2 + 6 = 8

Perimeter of the triangle

= 8 + 8 + 12

= 28 in

14/17 as a decimal to the nearest tenth

Answers

Answer:

.8

Step-by-step explanation:

14/17 as a decimal is 0.82352941176

we only need to know what its the hundredths and tenths place so we then just round to thenearest tenth so 2 is less than 5 so 8 stays the same therefor out answer is .8

Cisco is building a container for his plants. It is made out of a cube and two cylinders. He plans to paint each surface but cuts off the top of the two cylinders. He also wants to reinforce all the edges before putting it together. Which one is greater, the number of surfaces he has to paint, or the number of edges he has to reinforce

Answers

Answer:

Neither

Step-by-step explanation:

In the context, Cisco is building container for the plant which is made up of one cube and two numbers of cylinders. He wants to paint each of the surfaces of the figure but he cuts off the top of two cylinders. Thus neither of the surfaces are greater as Cisco has two cylinders or surfaces and a cube or a point that he cuts the two cylinders and now that he has four surfaces and a cube that has four points.

A shoe store uses a 50 percent markup for all of the shoes it sells . What would be the selling price of a pair of shoes that has a wholesale cost of 65$

Answers

Answer:

97.50

Step-by-step explanation:

65.00x50%=32.50

32.50+65.00=97.50

Answer:

/

Step-by-step explanation:

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