Question

How many gallons of

Answer 1

Answer:

Hi,

Step-by-step explanation:

I suppose you want an integer solution.

Let's say

a the number of gallons of 35% alcohol

b the number of gallons of 50% alcohol

$\dfrac{35}{100}*a+\dfrac{50}{100}*b=\dfrac{40}{100}*6\\\\35*a+50*b=240\\\\7a+10b=48\\\\b=\dfrac{48-7a}{10}\\\\a=4+10*n\\\\b=\dfrac{48-7*(4+10*n)}{10}=2-7*n\\\\As\ b\ must\ be\ a\ positive\ number \ n=0\\\\so\ b=2\ and\ a= 4$