Household Questions:
If 50 mL of solution has 5% Bleach and the rest is water, then how much more water should be added to make it a 1% solution?
Answers
Answer:
#mark it as a brainliest#
Step-by-step explanation:
117.6
ml
Explanation:
The current solution has
50
ml of bleach and a total volume of
50
+
950
=
1000
ml. If we add a certain quantity
b
of bleach, we will have more bleach, but also more solution in general: the ratio bleach-to-total volume will change as follows:
50
+
b
1000
+
b
we want this ratio to equal
15
%
=
0.15
, so we must ask
50
+
b
1000
+
b
=
0.15
Solve for
b
: if we multiply both sides by
1000
+
b
we have
50
+
b
=
0.15
(
1000
+
b
)
=
150
+
0.15
b
Subtract
0.15
b
from both sides:
50
+
b
−
0.15
b
=
150
Subtract
50
from both sides:
b
−
0.15
b
=
150
−
50
Simplify both sides:
0.85
b
=
100
Divide both sides by
0.85
b
=
100
0.85
≈
117.6
Let's check our answer: the new solution will have
50
+
117.6
=
167.6
ml of bleach, for a total volume of
1000
+
117.6
=
1117.6
ml. The ratio is
167.6
1117.6
≈
0.15117.6
ml
Explanation:
The current solution has
50
ml of bleach and a total volume of
50
+
950
=
1000
ml. If we add a certain quantity
b
of bleach, we will have more bleach, but also more solution in general: the ratio bleach-to-total volume will change as follows:
50
+
b
1000
+
b
we want this ratio to equal
15
%
=
0.15
, so we must ask
50
+
b
1000
+
b
=
0.15
Solve for
b
: if we multiply both sides by
1000
+
b
we have
50
+
b
=
0.15
(
1000
+
b
)
=
150
+
0.15
b
Subtract
0.15
b
from both sides:
50
+
b
−
0.15
b
=
150
Subtract
50
from both sides:
b
−
0.15
b
=
150
−
50
Simplify both sides:
0.85
b
=
100
Divide both sides by
0.85
b
=
100
0.85
≈
117.6
Let's check our answer: the new solution will have
50
+
117.6
=
167.6
ml of bleach, for a total volume of
1000
+
117.6
=
1117.6
ml. The ratio is
167.6
1117.6
≈
0.15
Step-by-step explanation:
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