Algebra Demystified 2nd Ed

(Marvins-Underground-K-12) #1

268 algebra De mystif ieD



  1. 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.


  1. 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.
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