The cost of a pen and a pencil used to be the same, but recently the cost of the pen was increased by ₹4, whereas, the cost of pencil became ₹6 less than 5 times its original value. After the revised cost, if the pen was more expensive than the pencil, what could have been the possible original value of both the products, if the initial price was a natural number?

Answers

Answer 1

Answer:

The possible original values of both products are ₹2 or ₹1

Step-by-step explanation:

The question is a word problem leading to simultaneous equations

Let 'x' represent the initial value of the pen and pencil

Therefore;

The final cost of the pen = x + ₹4

The final cost of the pencil = 5·x - ₹6

x + ₹4 > 5·x - ₹6

∴  ₹4 + ₹6 > 5·x - x

₹10 > 4x

₹10/4 > x

₹2.5 > x

Given that x is a natural number, therefore

x ≤ ₹2

The possible original values of both products are ₹2 or ₹1

Answer 2

The possible original value of both products is ₹ 1 and  ₹ 2.

The question is a word problem

Let x represent the initial cost of the pen and pencil since they were initially the same price.

When the costs of the pen was increased by ₹4, its new price is x' = x + 4.

Also, the cost of pencil became ₹6 less than 5 times its original value. So, the new price of the pencil is x" = 5x - 6.

After the revised cost, if the pen was more expensive than the pencil, then we have x' > x".

So, x + 4 > 5x - 6

x - 5x > - 4 - 6

-4x > - 10

x < -10/-4

x < 2.5

Since the initial price of the both products was a natural number, the two natural number less than 2.5 are 1 and 2.

So, the possible original value of both products is ₹ 1 and  ₹ 2.

Learn more about word problems here:

https://brainly.com/question/25693822


Related Questions

A rubber ball is thrown against the pavement and bounces into the air. If the ball is airborne for 2.5 seconds, how long after it bounces upward does the ball reach its maximum height?

Answers

Answer:

Step-by-step explanation:

1/2 * 2.5

= 1.25 seconds

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Answer:

8*f and the difference between 15 and m

Step-by-step explanation:

Use Substitution to solve the following System of Equations.
y = 2x - 4
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Answers

Answer:

x = 9.5

this should be the right answer if the same one you had to solve.

Step-by-step explanation:

y = 2x - 4

y = 12 + 3                             combine them

2x - 4 = 12 + 3

    +4         +4                   The 4's cancel each other out

2x = 12 + 7                     Add then divide

 2x = 19

  2x = 19

  ----   ----

   19   19

 x = 9.5

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Answers

Answer:

i hope it help u

Step-by-step explanation:

x=180-(85+63)

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An urn contains four red marbles, and five blue marbles. What is the probability of selecting at random, without replacement, two red marbles?

A. 16/72
B. 20/72
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D. 20/81

Answers

Answer: C. 12/72

Step-by-step explanation: 4/9 (the total of red marbles out of the urn) times 3/8 ( the probability of picking a red marble and how many marbles would be left) = 12/72

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two vertical poles of heights 12 inches and 22 inches are separated by a horizontal distance of 24 inches. what will be the distance between the tops of these poles?

Answers

Answer: 26 in.

Step-by-step explanation:

Given

Heights of Poles are [tex]12\ in., 22\ in.[/tex]

distance between them is [tex]x=24\ in.[/tex]

the difference in heights of the pole is [tex]y=22-12=10\ in.[/tex]

From the figure, using Pythagoras theorem, distance L is given by  

[tex]\Rightarrow L^2=y^2+x^2\\\Rightarrow L^2=10^2+24^2\\\Rightarrow L^2=100+576=676\\\Rightarrow L=\sqrt{676}=26\ in.[/tex]

The distance between tops is 26 in.

The radius of the circle is given in meters. What is the circumference of the circle? Use
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Answers

Answer:

50.24 meters

Step-by-step explanation:

The equation for the circumference of a circle: 2πr

2 x 3.14 x 8 = 50.24

Emelia is booking a flight to San Francisco. The airline charges 5270 for the ticket and 16% for taxes and fees. How much will Emelia pay for her flight?
(show your work)

Answers

ANSWER:
$6113.20


EXPLANATION:
There is two ways to make an expression to solve this which is
y = 1.16x
or
y = x + 0.16x

Here is the explanation for the first expression, it is more thorough:

The airline makes her pay x amount in dollars for the ticket alone. Then, the airline charges an additional 16% of that x amount. Just a policy they’ve required.
Therefore:
y = x + 0.16x

• x is the ticket price
• 0.16x is 16% of that ticket price

Plug x with the initial charge amount:
y = 5270 + 0.16(5270)
y = 6113.20



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5% of 5270 = $263.50
1% of 5270 = $52.70
6% of 5270= $316.20
16% of 5270 = $843.20

$843.20 + $5270 = $6113.20
^ answer


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Answers

Answer:

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Answer:

Step-by-step explanation:

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Martin painted 255 square feet of this
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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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please let me know if this is wrong, hope it helps :)

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Answers

Answer:

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---

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Answers

Answer:

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Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Throughout the question by Increasing the number of standard deviations by 100 if you compose its issue as a fracture. In each cycle these were multiplied by 100, all numbers were certain ones. [tex]\frac{436.8}{62.08}[/tex] was its sum of [tex]\frac{43,680}{6,208}[/tex].

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Answers

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Answers

Answer:

I think 80

Step-by-step explanation:

2*5=10

800/10 = 80

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Answers

Answer:

117649

Step-by-step explanation:

7 to the power of 2 is 49 then bc its in () do 49 to the power of 3 = 117649

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Answers

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Step-by-step explanation:

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Answers

Answer:

7.046%

Step-by-step explanation:

100%/x=369/26

100/x×x=(369/26)×x

100=14.19231×x

100/14.192=7.046

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