Math, asked by Prachi2912, 3 months ago

Anand bought a total of 30 white and brown pens for
a total of Rs.32. The cost of each white pcen is 70
paise more than the cost of each brown pen. Which
of the following represents a possible value of the
cost of each brown pen (in paise)?
(1) 40
(2) 35
(4) 50
(5) 60​

Answers

Answered by Shivendra850
3

Step-by-step explanation:

Answer is 60 paise. Let no. of brown pens be x then no. of white pens-30-x let y be the cost of brown pen.

xy+(30-x)(y+.7)=32 30y-0.7x=11 now x is an integer y=(11+0.7x)/30 for x=10 y=60 paise.

Answered by pulakmath007
0

The possible value of the cost of each brown pen = 60 paise

Given :

Anand bought a total of 30 white and brown pens for

  • a total of Rs. 32.

  • The cost of each white pen is 70 paise more than the cost of each brown pen

To find :

The cost of each brown pen

Solution :

Step 1 of 2 :

Form the equation

Let number of brown pen = n and cost of each brown pen = x paise

Then number of white pen = 30 - n and cost of each brown pen = x + 70 paise

So by the given condition

nx + (30 - n) ( x + 70) = 3200

Step 2 of 2 :

nx + (30 - n) ( x + 70) = 3200

⇒ nx + 30x + 2100 - nx - 70n = 3200

⇒ 30x + 2100 - 70n = 3200

⇒ 30x - 70n = 1100

⇒ 3x - 7n = 110

For x = 40 we have n = 10/7 : which is impossible

For x = 35 we have n = - 5/7 : which is impossible

For x = 50 we have n = 40/7 : which is impossible

For x = 60 we have n = 10: which is possible

Hence the possible value of the cost of each brown pen = 60 paise

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