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Percent, Rate, Base
Mathematics, Grade 6
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Study Guide Percent, Rate, Base Mathematics, Grade 6
❮
1
/
2
❯
SOLVING
PERCENT
PROBLEMS
What
Is
Solving
Percent
Problems?
•
A
percent
is
a
way
of
comparing
a
number
with
100.
•
Percents
are
usually
written
with
a
percent
sign:
60%
or
32%
•
There
are
3
ways
to
represent
a
percent:
as
a
percent
55%,
as
a
decimal
.55
or
as
a
fraction
50/100.
•
Any
of
the
representations
can
be
used
to
solve
a
percent
problem.
•
To
solve
a
percent
problem,
multiply
the
value
by
the
percent
using
one
of
the
representations
for
the
percent.
For
example,
65%
of
94
could
be
solved
by
multiplying
.65
X
94
which
is
61.1
or
by
calculating
an
equivalent
fraction
65/100
=
n/94.
Which
method
would
be
easier?
How
to
solve
percent
problems:
•
Change
the
percent
to
a
decimal:
45%
=
.45
88%
=
.88
17%
=
.17
•
Multiply
the
value
by
the
decimal:
45%
of
80
→
.45
x
80
=
36
88%
of
124
→
.88
x
124
=
109.12
17%
of
45
→
.17
x
45
=
7.65
•
When
solving
a
word
problem
with
a
percent
in
it:
o
Read
carefully
to
decide
what
value
is
to
be
broken
into
a
part.
o
The
percent
will
usually
have
the
%
mark
next
to
the
number.
o
The
other
value
will
be
connected
to
an
item
which
CAN
be
broken
into
its
parts.
© Copyright NewPath Learning. All Rights Reserved.
Permission
is
granted
for
the
purchaser
to
print
copies
for
non-commercial
educational
purposes
only.
Visit
us
at
www.NewPathLearning.com.
•
Example:
A
bakery
makes
900
cookies
each
day
and
70%
of
those
cookies
are
chocolate
chip.
If
a
customer
wants
500
chocolate
chip
cookies,
will
the
bakery
have
enough
to
sell?
o
The
900
cookies
can
be
divided
into
parts.
o
70%
of
the
cookies
are
chocolate
chip
o
To
solve:
70%
of
900
→
.75
x
900
=
675
o
Yes,
the
bakery
has
675
chocolate
chip
cookies,
enough
chocolate
chip
cookies
to
sell
to
the
customer
who
wants
500.
Try
This!
50%
of
60
__________________
13%
of
37
__________________
25%
of
80
__________________
89%
of
600
_________________
A
woodworker
made
60
decorative
shelves
to
sell
at
a
fair.
30%
of
the
shelves
were
made
out
of
maple
wood.
How
many
maple
shelves
does
he
have
to
sell?
______________________________________
© Copyright NewPath Learning. All Rights Reserved.
Permission
is
granted
for
the
purchaser
to
print
copies
for
non-commercial
educational
purposes
only.
Visit
us
at
www.NewPathLearning.com.
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