CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A solution of 8% boric acid is to be diluted by adding a 2% boric acid solution to it.The resulting mixture is to be more than 4% but less than 6% boric acid.If there are 640 liters of the 8% solution,how many liters of 2% solution will have to be added ?

Open in App
Solution

Let x liters of 2% solution will have to be added to 640 liters of the 8% solution of acid.

Total quantity of mixture=(640+x)

Total acid in the (640+x) litres of mixture 2100x+8100640

It is given that acid content in the resulting mixture must be more than 4% but less than 6%.

4100[640+x]<(2100x+8100640)<6100[640+x]4[640+x]<(2x+8640)<6[640+x]2560+4x<2x+8640 and 2x+8640<3840+6x25608640<2x<4x and 2x6x<38408640x<1280 and x>320

More than 320 liters but less than 1280 liters of 2% is to be added.


flag
Suggest Corrections
thumbs-up
7
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Inequalities
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon