Two Variate Word Problems
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School
Carnegie Mellon University *
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Course
103
Subject
Mathematics
Date
Jan 9, 2024
Type
Pages
8
Uploaded by MateOstrich3958
Two-Variable
Word
Problems
For
questions
in
the
Quantitative
Comparison
format
(“Quantity
A”
and
“Quantity
B”
given),
the
answer
choices
are
always
as
follows:
(A)
Quantity
A
is
greater.
(B)
Quantity
B
is
greater.
(C)
The
two
quantities
are
equal.
(D)
The
relationship
cannot
be
determined
from
the
information
given.
Where
answer
choices
do
not
appear
on
Quantitative
Comparison
questions
in
this
book,
you
should
choose
A,
B,
C
or
D
based
on
the
above.
For
questions
followed
by
a
numeric
entry
box
|
l,
you
are
to
enter
your
own
answer
in
the
box.
For
questions
followed
by
a
fraction-style
numeric
entry
box
,
you
are
to
enter
your
answer
in
the
form
of
a
fraction.
You
are
not
required
to
reduce
fractions.
For
example,
if
the
answer
is
—,
you
may
enter
or
any
equivalent
fraction.
All
numbers
used
are
real
numbers.
All
figures
are
assumed
to
lie
in
a
plane
unless
otherwise
indicated.
Geometric
figures
are
not
necessarily
drawn
to
scale.
You
should
assume,
however,
that
lines that
appear
to
be
straight
are
actually
straight,
points
on
a
line
are
in
the
order
shown,
and
all
geometric
objects
are
in
the
relative
positions
shown.
Coordinate
systems,
such
as
xy-planes
and
number
lines,
as
well
as
graphical
data
presentations,
such
as
bar charts,
circle
graphs,
and
line
graphs,
are
drawn
to
scale.
A
symbol
that
appears
more
than
once
in
a
question
has
the
same
meaning
throughout
the
question.
1.
Two
parking
lots
can
hold
a
total
of
115
cars.
The
Green
lot
can
hold
35
fewer
cars
than
the
Red
lot.
How
many
cars
can
the
Red
lot
hold?
(A)
35
(B)
40
(C)
70
(D)
75
(E)
80
2.
Three
friends
ate
14
slices
of
pizza.
If
two
of
the
friends
ate
the
same
number
of
slices,
and
the
third
ate
2
more
slices
than
each
of
the
other
two,
how
many
slices
were
eaten
by
the
third
friend?
(A)
3
(B)
4
€
5
(D)
6
(E)
7
In
8
years,
Polly’s
age,
which
is
currently
p,
will
be
twice
Quan’s
age,
which
is
currently
g.
Quantity
A
Quantity
B
3.
p—38
2q
4.
Pens
cost
70
cents
each
and pencils
cost
40
cents
each.
If
Iris
spent
$5.20
on
a
total
of
10
pens
and
pencils,
how
many
pencils
did
she
purchase?
($1
=100
cents)
A)
4
B)
6
)
8
(D)
10
(E)
13
5.
Jack
downloaded
10
songs
and
2
books
for
$48,
Jill
downloaded
15
songs
and
1
book
for
$44.
How
much
did
Jack
spend
on
books,
if
all
songs
are
the
same
price
and
all
books
are
the
same
price?
(A)
$14
(B)
$20
(C)
$28
(D)
$29
(E)
$30
6.
Marisa
has
$40
more
than
Ben,
and
Ben
has
one-third
as
much
money
as
Marisa.
How
many
dollars
does
Ben
have?
sl
|
7.
Norman
is
12
years
older
than
Michael.
In
6
years,
he
will
be
twice
as
old
as
Michael.
How
old
is
Michael
now?
(A)
3
B)
6
C)
12
(D)
18
(E)
24
8.
Krunchy
Kustard
sells
only
two
kinds
of
doughnuts:
glazed
and
cream-
filled.
A
glazed
doughnut
has
200
calories,
and
a
cream-filled
doughnut
has
360
calories.
If
Felipe
ate
5
doughnuts
totaling
1,640
calories,
how
many
were
glazed?
(A)
1
B)
2
©)
3
(D)
4
(E)
5
9.
The
“aspect
ratio”
of
a
computer
monitor
is
the
ratio
of
the
monitor’s
width
to
its
height.
If
a
particular
monitor
has
an
aspect
ratio
of
16
:
9,
and
a
perimeter
of
100 inches,
how
many
inches
wide
is
the
monitor?
(A)
18
(B)
25
C)
32
(D)
36
(E)
64
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