Answer:
[tex]V_1= 3000 gal[/tex]
Explanation:
We have 3 solutions:
- Solution 1 (with ethanol)
- Solution 2 (no ethanol)
- Final solution
[tex]V_f=V_1 + V_2[/tex]
and for the ethanol:
[tex]V_f*0.03=V_1*0.05 + V_2*0[/tex]
[tex]V_f=V_1 \frac{5}{3}[/tex]
Combining:
[tex]V_1 \frac{5}{3}=V_1 + V_2[/tex]
[tex]V_1 \frac{2}{3}= V_2[/tex]
[tex]V_1= \frac{3}{2} V_2[/tex]
If V2=2000 gal:
[tex]V_1= \frac{3}{2} 2000 gal[/tex]
[tex]V_1= 3000 gal[/tex]
