<PRE><B>Question 252493</B>
a paint company wants to make a 40% solution from a 25% solution and 50% solution of a chemical.
 how many gallons of the 25% and 50% mixture do they need to make 100 gallons of the 40% mixture?
:
Let x = amt of 50% solution
then
(100-x) = amt of 25% solution
:
.50x + .25(100-x) = .40(100)
.50x + 25 - .25x  = 40
.50x - .25x = 40 - 25
.25x = 15
x = {{{15/.25}}}
x = 60 gal of 50% solution
and
100 - 60 = 40 gal of 25% solution
:
:
Check
.5(60) + .25(40) = .4(100)
30 + 10 = 40</PRE>