Hector requires
milliliters of
sulfuric acid.
He has a
of sulfuric acid solution and a
of sulfuric acid solution.
Find milliliters of each solution to mixed:
\Let
is number of milliliters of
solution.
Make a table,
\| \
Acids percentage \ | \
Amount of milliliters | \ \
Total amount of milliliters \ | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
Observe the table:
\Total amount of
acid plus Total amount of
acid equals Total amount of
acid.
.
Solve the equation.
\
(Original equation)
(Simplify)
(Subtract
from each side)
(Apply additive inverse property :
)
(Divide each side by
)
(Cancel common terms)
He mixed
milliliters mixed in
solution.
(Substitute
in the equation)
(Simplify)
Hector mixed
milliliters mixed in
solution and
milliliters mixed in
solution.
Hector mixed
milliliters mixed in
solution and
milliliters mixed in
solution.