Will fan and Medal who ever can help?

A pharmacist wants to make 20 ml of a 59% hydrogen peroxide solution. How many mls of 35% hydrogen peroxide must he mix with 75% hydrogen peroxide to make the desired solution?

Question

Will fan and Medal who ever can help? 


A pharmacist wants to make 20 ml of a 59% hydrogen peroxide solution.   How many mls of 35% hydrogen peroxide must he mix with 75% hydrogen peroxide to make the desired solution?

mathmate · Answer

Ratio of 
vol of 35% : vol of 75%
=(75-59) : (59-35)
=16: 24

Vol of 35% required = 16/(16+24)* 20 ml =8 ml
Vol of 75% required = 24/(16+24)* 20 ml = 12 ml.

You can also solve this by setting up a system of 2 equations and solving it.

anonymous · Answer

so the answer is 8 of 35% and 75% of 12

anonymous · Answer

@mathmate

mathmate · Answer

Yes, that is correct.  But do you know how it is figured out?

anonymous · Answer

yea you showed me

mathmate · Answer

Good!  Happy to hear that!  :)