# 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

#### sreeramdesikan Profile Answers by sreeramdesikan

• Jul 16th, 2008

Rs.27
Add both the equation and divide the result by 2...

#### pranoti Profile Answers by 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

#### prititripathi Profile Answers by prititripathi

• Mar 7th, 2011

x+2y+4z=22

5x+4y+2z=32
add bth d eq. we get

6x+6y+6z=54

so 3x+3y+3z=27

#### 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