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

Which of the following is a monomial?
A. 20x11 - 3x
B. 11X-9
C. 20x11

Answer: A

Answers

Answer: the answer is c : 20x^11

Step-by-step explanation:

add 3 to h, then subtract 9 from the result

Answers

Answer:

3h-9

Step-by-step explanation:

you can't fit it into an equation because 1, i dont  a image of it and 2, you can't subtract a number from a coefficient/variable

A tree that is 6 feet tall is growing at a rate of 2 feet every year. A tree that is 12 feet tall is growing at a rate of foot each year. Enter the number of years it will take the two trees to be the same height.​

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Answer:

6 years

Step-by-step explanation:

let x = # of years

6 + 2x = 12 + x

x = 6

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Answer:

D

Step-by-step explanation:

Answer:

the answer is D your welcome lol

Step-by-step explanation:

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Answer: 0.877192982456

Step-by-step explanation:

Please Help
Question; What is the value of x?

Answers

Answer:

x+5/30 = 16/20

20x+100=480

20x=380

x=19

Step-by-step explanation:

x+5/30 = 16/20

20x+100=480

20x=380

x=19

Please help.. Answer number 34 and 35. For number 34 find the measures of the numbered angles in each isosceles trapezoid. For number 35 find the measures of the numbered angles in each kite.

Answers

Answer:

33. m∠1 = 135°, ∠3 = 45°, ∠2 = 135°

34. m∠1 = 80°, m∠2 = 100°, m∠3 = 100°

35. m∠1 = 90°, m∠2 = 25°

Step-by-step explanation:

33. The given parameters of the isosceles trapezoid are;

The measure of one of the base angles = 45°

For an isosceles trapezoid, the base angles are equal, therefore, we have;

The measure of the other base angle = m∠3 = 45°

Similarly, m∠1 = m∠2

Also, we have;

The sum of the interior angles in a trapezoid = The sum of the interior angles in a quadrilateral = 360°

∴ 45° + m∠3 + m∠1 + m∠2 = 360°

By substituting the known values, we have;

45° + 45° + m∠1 + m∠2 = 360°

From m∠1 = m∠2, we have;

45° + 45° + m∠1 + m∠1 = 90° + 2·m∠1 = 360°

2·m∠1 = 360° - 90° = 270°

∴ m∠1 = 270°/2 = 135°

m∠1 = 135° = m∠2

Therefore, we have;

∠3 = 45°, ∠1 = 135°, ∠2 = 135°

34. The measure of the base angles = 80°

∴ The measure of the other base angle = m∠1 = 80°

m∠2 = m∠3

80° + m∠1 + m∠2 + m∠3 = 360°

∴ 80° + 80° + 2·m∠2 = 360°

m∠2 = (360° - (80° + 80°))/2 = 100°

m∠2 = 100° = m∠3

35. The kite comprises of two half isosceles triangles

The base angles of the right half isosceles triangle = 65°

The angle formed by the diagonals of the kite = 90° (Perpendicular diagonals theorem)

Therefore, m∠1 = 90°

The diagonals bisect the angles at the vertices (Kite theorem)

Therefore, we have;

65° + 90° + m∠2 = 180°

m∠2 = 180° - (65° + 90°) = 25°

m∠2 = 25°.

Pls tell me the answer only.

Answers

I believe it is C, as integer numbers cannot be expressed as a fraction for any integers.

tysm for all your help Here is a crown and points. contest the first answer will get a mark

Answers

WWWWWWWWWWWWWHHHHHHHHHHHHHHHHHHHHAAAAAAAAAAAAAAAAAAAAATTTTTTTTTTTTTTTTTT

Answer:

AHH

Step-by-step explanation:

Help me plsssssssssssssss

Answers

When dividing fractions use stick(keep first fraction the same) change (the sign to a times) flip (flip the last fraction around)
1. 2/1 x2/1 =4/1 4
2. 3/1 x 3/1= 9
3. 6/1 x 3/2= 18/2 which is 9
4. 6/1 x 2/3 = 12/3 is 4
5.12/1 x 3/4 = 36/4 which is 9
Hope this helps have a good day

12/15=x/25 solve (algebra) pleas help I will mark brainlyesst

Answers

Answer:

20/25

Step-by-step explanation:

12/15=

4/5=

20/25

20/25, how to get answer: 12/15 = 4/5 = 20/25. Therefor x = 20

In a survey 2,500 of people who owned a certain type of​ car, 625 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer:

25%

Step-by-step explanation:

625/2500 = 0.25 = 25%

3 Mr. Howell runsmile in 6 minutes. Mr. Samuels runs 15 miles in 9 minutes. Whose speed is
greater? Explain.
4


HELPP

Answers

Answer:

Mr. Samuels

Step-by-step explanation:

Mr samuels runs a mile in 36 seconds, which is much faster than Mr. Howell.

Which linear inequality is represented by the graph?

O y < 1/2x +2

O y > 1/2x +2

O y < 1/3x +2

O y > 1/3x +2

Answers

Answer:

O y _< 1/2x +2 is your answer according to the given conditions.

Please help I have no clue if you can please do step by step explaining

Answers

Answer:

36cm^2

Step-by-step explanation:

Break it apart into rectangles/squares where you can figure out what the length of at least two sides are for each.

Then multiply and get the area of the smaller area.

Then add the areas up.

You're basically just breaking it down into smaller shapes, then adding the different parts back together.

What type of transformation moves P(3,-6) to
P'(3, 6)?
Reflection in the y-axis
Reflection in the x-axis
Rotation 180
Translation

Answers

I don’t know but I’ll try to figure it out

Answer:

Rotation 180

Step-by-step explanation:

The axis points right to the rotation so it implies that exact answer

An average person can type 2,4002,400 words per hour. Trista types at the same rate as the average person and made the double number line below to estimate how long it will take her to type her research paper. ​​Using Trista's double number line, estimate how long it will take her to type her 1,400-word research paper.

Answers

Answer:

35 minutes

Step-by-step explanation:

Given that:

Trista:

Average word type per hour = 2400 words /hr

For Trista to type her 1400 word research paper ;

It will take 'h' hour

If

2400 words = 1 hour

1400 words = h

Cross multiply :

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h = 1400 / 2400

h = 0.5833333 hr

To minutes, it will take :

0.5833333 * 60 = 35 minutes

Hence, it will take Trista 35 minutes or 0.5833333 to type her 1400 words research paper.

An inverse variation includes the points (15,1) and (n,5). Find n

Answers

Inverse variation: y=k/x

1. plug in the values: (15,1)
1=k/15

2. solve for k

3. Now, plug in what you can for the second point: (n,5)
5=k/n (if you do the step above, you will know “k”.

4. Solve for “n”


The value of n is, 75.

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

An inverse variation includes the points (15, 1) and (n, 5).

Now, We know that;

The inverse variation is defined as,

⇒ y = k x

Here, An inverse variation includes the points (15, 1) and (n, 5).

Hence, Substitute x = 15, and y = 1;

⇒ 1 = k × 15

⇒ k = 1/15

And, Substitute x = n and y = 5;

⇒ y = k x

⇒ 5 = 1/15 × n

⇒ 5 × 15 = n

⇒ n = 75

Learn more about the proportion visit:

https://brainly.com/question/1496357

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5 chocolate bars cost £3.80
How much do 7 chocolate bars cost?

Answers

Step-by-step explanation:

divide 5 by 3.80 and then the multiply the answer by 7

Answer:

7 chocolate bars=£5.32

Step-by-step explanation:

3.80÷5=0.76(one chocolate bar)

0.76×7=5.32(7 bars)

I NEED HELP PRONTO!! THIS IS FOR A MIDTERM!!!!


The Johnson and Sloan families went to Taco Mania for lunch. The Johnsons bought 3 burrito meals and 4 taco meals for $48. The Sloans bought 6 burrito meals and 2 taco meals for $60. How much does each meal cost?

Answers

Answer:

Each burrito meal cost 8$

Each taco meal cost 6$

Step-by-step explanation:

Johnsons= 3b +4t =48

Sloans= 6b+2t=60

multiple johnsons by -2

so, now the johnsons are -6b+-8t=-96

add that to the sloans so, -6b+6b-8t+2t=-96+60

the b's cancel eachother out, so you are left with -6t= -36

divide each side by -6 and you will get t=6

then you can pick either formula, lets say sloans this time

so, 6b + 2(6)=60 so, 6b+12=60, subtract 12 from each side, to get 48

so 6b=48, divde each side by 6 and you will get b=8

Step-by-step explanation:

Answer:

Tacos-6

Burritos-8

Step-by-step explanation:

Multiply the first equation by -2,and multiply the second equation by 1.

−2(3b+4t=48)

1(6b+2t=60)

Becomes:

−6b−8t=−96

6b+2t=60

Add these equations to eliminate b:

−6t=−36

Then solve−6t=−36for t:

−6t=−36

−6t

−6

=

−36

−6

(Divide both sides by -6)

t=6

Now that we've found t let's plug it back in to solve for b.

Write down an original equation:

3b+4t=48

Substitute6fortin3b+4t=48:

3b+(4)(6)=48

3b+24=48(Simplify both sides of the equation)

3b+24+−24=48+−24(Add -24 to both sides)

3b=24

3b

3

=

24

3

(Divide both sides by 3)

b=8

Answer:

b=8 and t=6

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Answers

Answer:

point a to point b is only one lkine.

If you're looking for it's length then (11,-7), or 13.04

Step-by-step explanation:

HELP I NEED HELP ASAP

Answers

Answer:

D should be the anwser if i did my math correctly!

Work out m and c for the line:
y= 2x + 5

Answers

Y = mx + c
m = 2
c = 5

Emily has 59 flowers. She wants to put the flowers in 6 vases with the same number in each vase. Part A: What is the greatest number of flowers she can put in each vase? Part B: How many flowers will Emily have left over?

Answers

Answer:

Part A

= 9 flowers

Part B

= 5 flowers

Step-by-step explanation:

Emily has 59 flowers. She wants to put the flowers in 6 vases with the same number in each vase.

Part A: What is the greatest number of flowers she can put in each vase?

This is calculated as:

59 flowers ÷ 6 vases

= 9 5/6 flowers

Therefore, the greatest number of flowers she can put in each vase is 9 flowers

Part B: How many flowers will Emily have left over?

We have to calculate the number of flowers in the 6 vases above

= 9 flower × 6

= 54 flowers

Hence:

= 59 flowers - 54 flowers

= 5 flowers

Therefore, Emily would have 5 flowers left over.

PLEASE HELP. PLS THANK YOU SM!!

Answers

Answer:

212*(2)ⁿ

6784

Step-by-step explanation:

To find the number of two tailed monkey in 2016 we have

212*2

to find in 2017

212*2*2 or 212*2^2

we can write the following equation

212*(2)^n

where n is the number of years

To find the number of monkeys in 2020 we plug in 5 for n

6784

show work please i will give brailiest show work pls
2 - 1 + 5 x 4 x 11


14 ÷ 2 -1 + 3


3 x 8 x 2 – 42 + 5

Answers

1. 2-1+5x4x11
5x4=20
2-1+20x11
20x11=220
2-1+220
2-1=1
1+220=221

2. 14/2-1+3
14/2=7
7-1+3
7-1=6
6+3=9

3. 3x8x2-42+5
3x8=24
24x2-42+5
24x2=48
48-42+5
48-42=6
6+5=11

plz, help I will give you the brainiest How likely is it to get a red card? A heart? A red or black card? A 2 of Hearts? Use the Probability Scale

Answers

Answer:

[tex]\frac{26}{52}[/tex], [tex]\frac{13}{52}[/tex], [tex]\frac{52}{52}[/tex], [tex]\frac{1}{52}[/tex]

Step-by-step explanation:

In a deck of playing cards there are 52 cards total.

13 clubs

13 hearts

13 spades

13 diamonds

half are red and half are black

all of the cards are red or black

plz mark me brainliest ;)


2. A plastic smartphone case is roughly rectangular and measures 6 in. by 3 in. The back side of
the case has two sections cut out: a l in. by 0.5 in. rectangle for the camera and a triangle that
is 1.5 in. wide and 1.5 in. tall so that the brand logo on the phone is visible when it is in the
case. What is the approximate area of the plastic on the phone?
15.25 in.2
0 16.375 in.2
019.625 in 2
20.75 in 2

Answers

Answer:

ITs 16.375 in.2

Step-by-step explanation:

If your in connections and you have Lesson 4: Area of Other Figures

Math 7 B  Unit 3: Measurement the whole quick check answers are

1. D. 40.5cm2

2. B. 16.375 in.2

3. B 540cm2

4. C 460

Your welcome also I swear these are right!

Help, please, please, please!!!!!!!

Answers

Answer:

X+2y=14

==X+2y-14=0

Step-by-step explanation:

Y=3x-14

==x=14/3

(6,4)is the anwer you can use desmos and it will give you the aswer

An account earns simple interest. Find the annual interest rate.

I= $225

P= $1500

t= 5 years

The annual interest rate is
%.

Answers

Annual interest rate is 225
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