Answer:
you can get 12 gallons on gas
Step-by-step explanation:
x/30=1/2.42
step 1) cross multiply
x * 2.42 = 1 * 30
2.42x=30
step 2) divide both sides by 2.42
2.42x/2.42 = 30/2.42
= 12.396694
round to the nearest gallon
≈12 gallons
X = amount of the 18% solution
y = amount of the 40% solution
we know the 18% solution has only 18% of alcohol, the rest is maybe water or something, now, how many liters is 18%? well, 18% of anything is just (18/100) * anything, so, 18% of x is just (18/100) *x or 0.18x, and that's how many liters are there.
likewise, how many liters are there in the 40% solution? well, (40/100) * y, or 0.4y, that many.
we know the mixture has to yield 10 liters at 20% alcohol, how many liters of only alcohol is that? well, (20/100) * 10, or 2 liters.


how much of the 40% solution? well y = 10 - x
Wait just a minute. Hold up. Hee haw. Whoa !
Coming down to Earth for just a second ... what in the world is
the "distance" between integers anyway !
Ln 54.598... = 4 because ln = log e