Chapter 8 linear appliCaTionS 267
PRACTICE
- How much 60% acid solution should be added to 8 liters of 25% acid
solution to produce a 40% acid solution? - How many quarts of^12 % fat milk should be added to 4 quarts of 2% fat
milk to produce 1% fat milk? - How much 30% alcohol solution should be mixed with 70% alcohol
solution to produce 12 liters of 60% alcohol solution? - How much 65% acid solution and 25% acid solution should be mixed
together to produce 180 ml of 40% acid solution? - How much water should be added to 10 liters of 45% alcohol solution
to produce a 30% solution? - How much decaffeinated coffee (assume this means 0% caffeine) and
50% caffeine coffee should be mixed to produce 25 cups of 40% caf-
feine coffee? - How much pure acid should be added to 18 ounces of 35% acid solution
to produce 50% acid solution? - How many peanuts should be mixed with a nut mixture that is 40%
peanuts to produce 36 ounces of a 60% peanut mixture?
✔SOLUTIONS
- 60% 25% 40%
x
liters
+^8
liters
= x + 28
liters
0.60x + 0.25(8) = 0.40(x + 28)
0600258040 8
060204032
040
..() .( )
...
.
xx
xx
x
+=+
+= +
−− 0040
0202032
20 20
02012
12
020
.
...
..
..
.
.
x
x
x
x
x
+=
−−
=
=
= 66
Add 6 liters of 60% solution to 8 liters of 25% solution to produce a 40%
solution.
PRACTICE
- How much 60% acid solution should be added to 8 liters of 25% acid