SOLUTION: How much (a) water and (b) 50% soap solution must be added to one liter of a 5% soap solution to create two liters of an 8% soap solution. I'm studying for a test tomorrow, so

Question 559912: How much (a) water and (b) 50% soap solution must be added to one liter of a 5% soap solution to create two liters of an 8% soap solution.
I'm studying for a test tomorrow, so I'm doing all the sample problems in my math book. So, no rush. Any help will be appreciated.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = liters of water to be added
Let = liters of 50% soap solution to be added
given:
liters of soap in 5% solution
=liters of soap in 50% solution
--------------
(1)
(2)
--------------------
(1)
(1)
(1)
(1)
(1)
and
(2)
(2)
and
(1)
(1)
(1)
(1)
and

.78 liters of water and .22 liters of 50% soap
solution must be added
check answer:
(1)
(1)
(1)
OK

RELATED QUESTIONS
How many liters of water must Sharon add to 5 liters of a soap and water mixture which is (answered by ikleyn)

How many liters of water must Sharon add to 5 liters of a soap and water mixture which is (answered by josgarithmetic)

How many liters of water must be added to 10 liters of a 36% soap solution to make it a... (answered by ewatrrr)

How many liters of water must be added to 20 L of a 36% soap solution to make it a 12%... (answered by richwmiller)

how much soap is needed to make 10 liters of a 20% soap... (answered by oberobic)

How many gallons of pure water should be added to 10 gallons of a solution that is 25%... (answered by josmiceli)

how many gallons of pure water should be added to 10 gallons of a solution that is 25%... (answered by jorel1380)

how many quarts of 30% soap solution and 60% soap solution should be mixed to obtain 60... (answered by josmiceli)

christie wants to dilute a 10% soap solution with water to make 10 gallons of a 3% soap... (answered by ankor@dixie-net.com)