Question

a boy buys 18 sharpeners (brown or white) for rs.100. for every white sharpener, he pays one rupee more than the brown sharpener. what is the cost of white sharpener and how much did he buy?

Answer 1

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Total sharpeners purchased

Let the number of white sharpeners be 'x'

So the number of brown sharpeners = 18-x

Let the cost of brown sharpener = z

So the cost of white sharpener = z+1

Total cost = 100

x(z+1) + (18-x)(z) = 100

xz + x + 18z-xz = 100

18z + x =100

18z = 100-x

Now as the value of x needs to be 18 (total sharpeners)

And the multiple of 18 close to 100 is 90

So,

If x = 10

18z = 100-10

18z = 90

z= 5

The cost of white sharpeners shall be = z + 1 = 5 + 1 = Rs. 6

So he bought 10 white sharpeners at Rs. 6 each.

He also bought 8 brown sharpeners at Rs. 5 each.

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