268 algebra De mystif ieD
- 0.5% 2% 1%
quarts
+^4
quarts
= x + 4^
quarts
0.005x + 0.02(4) = 0.01(x + 4)
0 005 0024 0014
0 005 0080010 004
..() .( )
....
xx
xx
+=+
+= +
−−−
=+
−−
=
0 005 0 005
0080005 004
004004
0040
..
...
..
.
xx
x
..
.
.
005
004
0 005
8
x
x
x
=
=
Add 8 quarts of^12 % fat milk to 4 quarts of 2% milk to produce
1% milk.
- 30% 70% 60%
liters
+ 12 – x^
liters
=^12
liters
0.30x + 0.70(12 – x) = 0.60(12)
0300 70 12 06012
03084070 72
0
..().()
....
.
xx
xx
+−=
+− =
− 440 84 72
84 84
04012
12
040
3
x
x
x
x
+=
−−
−=−
= −
−
=
..
..
..
.
.
Add 3 liters of 30% alcohol solution to 12 – x = 12 – 3 = 9 liters of 70%
alcohol solution to produce 12 liters of 60% alcohol solution.