The volume of gasohol mixture 1 that should be taken is 285.7 gal and mixture 2 is 714.3 gal
Explanation:
Let the volume of each gasohol mixture 1 be x gal
Let the volume of gasohol mixture 2 be y gal
Gasohol mixture 1 = 5% alcohol
Gasohol mixture 2 = 12 %
According to the question:
[tex]x + y = 1000[/tex]
and
[tex]0.05x + 0.12y = 100[/tex]
Multiplying equation 1 with 0.12 we get:
0.12x + 0.12y = 120
On solving both the equations we get:
0.12x + 0.12y = 120
0.05x + 0.12y = 100
___________________
0.07x = 20
x = 285.7 gal
Substituting x = 285.7 in equation 1:
285.7 + y = 1000
y = 714.3
Therefore, the volume of gasohol mixture 1 that should be taken is 285.7 gal and mixture 2 is 714.3 gal
