How many liters of peroxide should be added to 12 liters of an 8% peroxide solution so that the remaining solution contains 16% peroxide?

Question

anonymous · Answer

lets say you add $x$ liters of peroxide
then the the total number of liters will be $12+x$
presently you have 8% of 12 or $.96$ liters of peroxide
when you add $x$ liters you will have $.96+x$  liters of peroxide total
you want that to be 16% of (12+x\) so set 
$$.96+x=.16(12+x)$$ and solve for$x$

anonymous · Answer

probably easier to solve if you get rid of decimal by multiplying both sides by 100 and write 
$$96+100x=16(12+x)$$

anonymous · Answer

thank you