SOLUTION: A solution of 71% pesticide is to be mixed with a solution of 49% pesticide to form 44 liters of a 51% solution. How much of the 71% solution must you use?

Question 67608: A solution of 71% pesticide is to be mixed with a solution of 49% pesticide to form 44 liters of a 51% solution. How much of the 71% solution must you use?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A solution of 71% pesticide is to be mixed with a solution of 49% pesticide to form 44 liters of a 51% solution. How much of the 71% solution must you use?
-----------
Amount of 71% solution is "x" liters ; amount of active ingredient = 0.71x liters.
Amount of 49% solution is "44-x" liters: amount of active ingredient= 0.49(
44-x)= 21.56 -0.49x liters.
------------------
Amount of mixture is 44 liters ; amount of active ingrediant is 0.51(44)=22.44 liters.
-----------------
EQUATION:
active + active = active
0.71x + 21.56-0.49x = 22.44
71x+2156 - 49x = 2244
22x=88
x=4liters (amount of 71% solution in the mixture)
Cheers,
Stan H.

RELATED QUESTIONS
A solution of 71% pesticide is to be mixed with a solution of 49% pesticide to form 44... (answered by checkley71)

A solution of 75% pesticide is to be mixed with a solution of 51% pesticide to form 48... (answered by mangopeeler07)

A solution of 48% pesticide is to be mixed with a solution of 33% pesticide to form 45... (answered by josgarithmetic)

A solution of 53% pesticide is to be mixed with a solution of 21% pesticide to form 128... (answered by jorel1380)

A solution of 75% pesticide is to be mixed with a solution of 35% pesticide to form 440... (answered by mananth,stanbon,josmiceli)

A solution of 50% pesticide is to be mixed with a solution of 35% pesticide to form 180... (answered by josgarithmetic)

how many gallons of an 18% pesticide solution must be added to 92 gallons of a 51%... (answered by josgarithmetic)

A solution of 58% pesticide is to be mixed with a solution of 31% pesticide to form 324... (answered by josgarithmetic)

How much of a 4% pesticide solution must be added to 20 gallons of a 12% pesticide... (answered by solver91311)