FS10_1825_006_Sept8_2pages

FS10_1825_006_Sept8_2pages - MTH
1825
sec.
006
 


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Unformatted text preview: MTH
1825
sec.
006
 
 Wed.
Sept.
8,
2010
 Section
1.5
–
Applications
of
Linear
Equations
in
One
Variable
 
 
 Translating
expressions
 
 Example
1)


If
n
represents
a
number,
write
an
expression
for
each
of
the
following:
 
 
 a.
 3
times
a
number
 
 
 
 
 
 b.
 the
quotient
of
a
number
and
5
 
 
 
 
 c.
 the
sum
of
a
number
and
12
 
 
 
 d.
 the
difference
of
a
number
and
2
 
 
 
 
 e.
 the
product
of
a
number
and
15
 
 
 f.
 4
less
than
a
number
 
 
 
 
 g.
 13
more
than
a
number
 
 
 
 
 h.
 7
less
than
8
times
a
number
 
 
 
 
 i.
 2
more
than
the
product
of
5
and
a
number
 
 
 
 j.
 the
quotient
of
7
and
3
less
than
a
number
 
 
 
 k.
 the
sum
of
18
and
two‐thirds
of
a
number
 
 
 
 l.
 the
product
of
8
and
two
more
than
a
number
 
 
 Page
1
of
2
 MTH
1825
sec.
006
 Word
problems
 
 
 Wed.
Sept.
8,
2010
 Example
2)


One
number
is
5
less
than
twice
another
number.

The
sum
of
the
numbers
is
 46.

Find
both
numbers.
 
 
 
 Example
3)


The
sum
of
three
consecutive
integers
is
342.

Find
the
integers.
 Example
4)


The
sum
of
three
consecutive
odd
integers
is
429.

Find
the
integers.
 Example
5)


Five
times
the
smaller
of
two
consecutive
even
integers
is
the
same
as
64
less
 than
two
times
the
larger.

Find
the
integers.
 
 Example
6)


Felicia
makes
a
17%
commission
on
her
sales
at
a
store.

Her
monthly
salary
 (before
taxes)
is
$1500.

(a)

If
Felicia
sold
merchandise
worth
$4800
in
August,
what
was
 her
commission
for
the
month
of
August?

What
was
her
(pre‐tax)
salary
for
August?

(b)

If
 Felicia’s
(pre‐tax)
salary
was
$2129
for
the
month
of
January,
what
was
the
value
of
the
 merchandise
she
sold
in
January?
 
 Example
7)


The
price
of
a
textbook
after
a
23%
markup
is
$141.45.

What
was
the
price
of
 the
textbook
before
the
markup?
 
 Example
8)


Harrison
bought
a
chair
for
75%
of
its
original
price.

He
paid
$390.

What
 was
the
original
price
of
the
chair?
 
 Example
9)


The
formula
for
simple
interest
is
 I = Pr t .

In
this
formula,
P
is
the
principal,
r
 is
the
simple
interest
rate
as
a
decimal,
and
t
is
the
time
in
years.

If
Roger
invests
$200
in
 an
account
paying
4.7%
simple
interest,
how
much
interest
will
he
earn
at
the
end
of
3
 years?
 € 
 Example
10)


Wally
invested
a
total
of
$10,000
in
two
accounts.

One
account
paid
2%
 simple
interest
and
the
other
paid
3.4%
simple
interest.

At
the
end
of
one
year,
the
total
 interest
earned
was
$281.90.

Find
the
amount
invested
in
each
account.
 
 Example
11)


A
chemist
has
a
40%
saline
solution
and
a
25%
saline
solution.

The
chemist
 needs
12
liters
of
a
36%
solution
for
an
experiment.

How
many
liters
of
each
solution
 should
the
chemist
mix
to
create
the
new
solution?
 
 Example
12)


How
many
gallons
of
a
6%
bleach
solution
need
to
be
added
to
15
gallons
of
 a
10%
bleach
solution
to
produce
a
7.5%
solution?
 
 Example
13)

Jim
drives
from
Detroit
to
Chicago
in
5
hours,
while
his
mother
takes
6
 hours
to
make
the
same
trip.

Jim’s
average
speed
is
8
miles
per
hour
faster
than
his
 mother’s
average
speed.

What
is
the
average
speed
of
each
driver?
 
 Example
14)


Two
cars
are
450
kilometers
apart
and
travel
towards
one
another
on
the
 same
road.

They
meet
in
3
hours.

One
car
travels
2
kilometers
per
hour
slower
than
the
 other.

What
is
the
average
speed
of
each
car?
 
 Page
2
of
2
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