The cost of one pencil, two pens and four erasers is Rs.22 while the cost of five pencils, four pens and two erasers is Rs.32.How much will three pencils, three pens and three erasers cost?

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Kayalvizhi

  • Oct 3rd, 2006
 

Let a, b, and c denote pencil, pen and eraser respectively.

Given that the cost of one pencil, two pens and four erasers is Rs.22

This can be written as,

        a + 2b + 4c = 22 ..........(1)

Similarly, the cost of 5 pencils, 4 pens and 2 erasers is Rs. 32

This implies ....

        5a + 4B + 2c = 32 ......... (2)

Adding (1) and (2), we get

        6a + 6b + 6c = 54

We need to find the value of 3a + 3b + 3c.

Dividing by 2, we get

        3a + 3b + 3c = 27.

Hence, the cost of 3 pencils, 3 pens, and 3 erasers is Rs.27

     

pranoti

  • Jan 30th, 2011
 

Let cost of 1 pencil, 1 pen and 1 eraser be x,y,z.
now, x+2y+4z=22 - (1)
5x+4y+2z=32 - (2)
subtracting (2)-(1);
4x+2y-2z=10 or 2x+y-z=5 -(3)
subtracting (2)-(3);
3x+3y+3z=27
Answer=Rs27


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Amit Kumar

  • Sep 26th, 2018
 

15 rubbers cost ₹10.50.how many rubbers can be bought for ₹70? What will be the cost of 35 rubbers

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