# A research chemist wants to make 10.0L of gasoline containing 2.0% of a new experimental additive, one with 5.0% and the other with 6.0% are to be used. if four times as much gasoline without additive as the 5.0% mixture is to be used, how much of each is neede?

1
by sweetysiri92
is there any one to answer the question
and the answers are 6.4L,1.6L and 2.0L
a research chemist wants to make 10.0L of gasoline containing 2.0% of a new experimentaladditive. Gasoline without additive and two mixtures of gasoline with additive, on ]e with 5.0% and the other with 6.0% are used. if four times as much gasoline without additive as the 5.0% mixture is used, how much of each is needed

2014-08-15T16:33:53+05:30
a research chemist wants to make 10.0L of gasoline containing 2.0% of a new experimentaladditive. Gasoline without additive and two mixtures of gasoline with additive, on ]e with 5.0% and the other with 6.0% are used. if four times as much gasoline without additive as the 5.0% mixture is used, how much of each is needed

x+y+z= 10
0*x+0.05*y+0.06*z=0.02*10=0.2
or, 5y+6z=20
further, x=4y
putting this in first equation   5y+z=10
subtracting from the second equation:  6z-z =10
z=2
5y=8
y=1.6
x=6.4
use 6.4, 1.6 and 2 litres respectively of the three solutions. (answer)