Question

the price of 3 pens and 5 pencils is 54 rupees. The price of 6 pens and 7 pencils is 90 rupees. What is the price of a pen? What is the price of a pencil?​

Answer 1

Answer:

x=8 and Y=6

Step-by-step explanation:

let us take the pen as x and pencil as y

so the equation formed is

3x+5y=54--------(1)

then in the second case the equation formed is

6x+7y=90-------(2)

add (1) and(2)

we noticed that the (1) and (2) are not equal.

so to subtract we have wholely multiply (1) by 2

then you subtract and you will get y= 6

then substitute y in any of the two equation

after substituting you will get x=6

so the price of pen=8

price of pencil=6

Answer 2

SOLUTION

GIVEN

• The price of 3 pens and 5 pencils is 54 rupees

• The price of 6 pens and 7 pencils is 90 rupees

TO DETERMINE

The price of a pen

The price of a pencil

EVALUATION

Let the price of a pen = Rs x and the price of a pencil = Rs y

By the condition 1

3x + 5y = 54 - - - - - - - (1)

By the condition 2

6x + 7y = 90 - - - - - - - (2)

Now Multiplying both sides of Equation 1 by 2 we get

6x + 10y = 108 - - - - - (3)

Equation 3 - Equation 2 gives

3y = 18

⇒ y = 6

From Equation 1 we get

3x = 54 - 5y

⇒ 3x = 54 - 30

⇒ 3x = 24

⇒ x = 8

FINAL ANSWER

• The price of a pen = Rs 8

• The price of a pencil = Rs 6

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ If 2 pens and 3 copies costs Rs. 95 and 6 pens and 2 copies costs Rs. 110. Form linear equations to represent this situation

https://brainly.in/question/33627420

2. In Parul's garden, there are 25 rows of

vegetables. She has five more rows of peppers than tomatoes and two fewer row...

https://brainly.in/question/13390089