Question

2560+4x<5120+2x<3840+6x
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Answer 1

Answer:

Given mixture = 640 litres

Let 2% boric acid solution is x litre.

So total amount of mixture = 640 + x.

Now given in the question

2% of x + 8% of 640 > 4% of (640 + x)

=> 2x/100 + (8*640)/100 > {4*(640 + x)}/100

=> 2x + 5120 > 2560 + 4x

=> 2x - 4x > 2560 - 5120

=> -2x > -2560

=> 2x < 2560

=> x < 2560/2

=> x < 1280

Again from the question

2% of x + 8% of 640 < 6% of (640 + x)

=> 2x/100 + (8*640)/100 < {6*(640 + x)}/100

=> 2x + 5120 < 3840 + 6x

=> 2x - 6x < 3840 - 5120

=> -4x < -1280

=> 4x > 1280

=> x > 1280/4

=> x > 320

Hense number of litres of the 2% solution added is between 320 litres and 1289 litres.

may it could help you

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