Problema Solution

If a certain mixture of olive oil and vinegar has a total mass of 398.8 and a total volume of 424.2 , what is the volume of oil and what is the volume of vinegar in the mixture?

density of oil=.981g/cm^3

density of vinegar=1.006g/cm^3

Answer provided by our tutors

density = mass / volume

m1 + m2 = 398.8 ,

v1 + v2 = 424.2 => v1 = 424.2- v2

m1 / v1 = .981 => m1 = .981 v1

m2 / v2 = 1.006 => m2 = 1.006 v2

=> .981 v1 + 1.006 v2 = 398.8 => 398.8 = .981 ( 424.2- v2 ) + 1.006 v2

solve for v2 then you can get v2 , m1 , m2