Question

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

Answer 1

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\(x\)

Answer 2

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

Answer 3

thank you