4. How much of a 25% juice mixture would you have to combine with a 55% juice mixture to create 32 gallons of a 40% juice mixture?

Question

how do i set up the problem?

Answer 1

X+Y = 32

0.25X + 0.55Y = 0.4*32 = 12.8

25x + 55y = 1280

25x + 55(32-x) = 1280

25x + 1760 - 55x = 1280

-30x = -480

x = 16

y=16