Two Variate Word Problems
pdf
keyboard_arrow_up
School
Carnegie Mellon University *
*We aren’t endorsed by this school
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
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
10.
Cindy
bought
48
containers
of
soda,
all
either
12-ounce
cans
or
20-
ounce
bottles.
If
the
number
of
ounces
she
purchased
in
cans
was
equal
to
the
number
of
ounces
she
purchased
in
bottles,
how
many
bottles
of
soda
did
Cindy
buy?
(A)
18
B)
21
(C)
24
(D)
27
(E)
30
11.
Two
runners’
race
times
sum
to
170
seconds
and
one
of
the
race
times
is
10
seconds
less
than
twice
the
other.
What
1s
the
faster
race
time,
in
seconds?
(A)
40
(B)
50
(C)
60
(D)
70
(E)
110
12.
Beth
1s
12
years
younger
than
Alan.
In
20
years,
Beth
will
be
80%
of
Alan’s
age.
How
old
is
Beth
now?
years
old
13.
Rey
is
12
years
younger
than
Sebastian.
Five
years
ago,
Rey
was
half
Sebastian’s
age.
How
old
will
Sebastian
be
next
year?
(A)
15
(B)
20
(C)
25
(D)
30
(E)
35
14.
During
a
sale,
the
local
outlet
of
the
Chasm
sold
three
times
as
many
jeans
as
chinos.
If
they
made
twice
as
much
profit
for
a
pair
of
chinos
as
for
a
pair
of
jeans,
and
sold
no
other
items,
what
percent
of
their
profits
during
the
sale
came
from
chinos?
2
A)
16
£
%
3
(B)
20%
(C)
40%
D)
60%
1
(E)
83
—
%
3
15.
Marisol
is
twice
as
old
as
Vikram.
Eight
years
ago,
Marisol
was
6
years
younger
than
three
times
Vikram’s
age
at
that
time.
How
old
will
Marisol
be
in
5
years?
16.
The
length
of
a
rectangle
is
2
more
than
twice
its
width,
and
the
area
of
the
rectangle
is
40.
What
is
the
rectangle’s
perimeter?
17.
Marcy
bought
one
pair
of
jeans
at
70%
off
and
one
blouse
at
40%
off.
If
she
paid
$12
more
for
the
blouse
than
for
the
jeans,
and
she
spent
a
total
of
$84,
what
was
the
original
price
of
the
jeans?
(A)
$76
B)
$96
(C)
$100
(D)
$120
(E)
$124
18.
Wall-to-wall
carpeting
is
installed
in
a
certain
hallway.
The
carpeting
costs
$4.25
per
square
foot.
If
the
perimeter
of
the
hallway
(in
feet)
is
equal
to
44%
of
the
area
of
the
hallway
(in
square
feet)
and
the
hallway
is
50
feet
long,
how
much
did
the
carpeting
cost?
(A)
$182.50
(B)
$212.50
(C)
$505.25
(D)
$1,062.50
(E)
$1,100.00
19.
Jamal
got
three
monthly
electric
bills
over
the
course
of
three
months.
If
his
average
monthly
bill
over
these
three
months
was
$44
more
than
the
median
bill,
and
the
sum
of
the
largest
and
the
smallest
bills
was
$412,
what
was
the
total
amount
of
the
three
electric
bills
Jamal
got
over
the
course
of
the
three
months?
(A)
$456
(B)
$552
(C)
$600
(D)
$824
(E)
$1,000
20.
A
certain
dog
kennel
houses
only
collies,
labs,
and
golden
retrievers.
If
the
ratio
of
collies
to
labs
is
5
:
9,
there
are
66
golden
retrievers,
and
12
more
golden
retrievers
than
labs
in
the
kennel,
what
percent
of
the
dogs
in
the
kennel
are
collies?
A)
5%
B)
9%
C)
12%
D)
20%
(E)
25%
21.
If
Mason
is
now
twice
as
old
as
Gunther
was
10
years
ago,
and
G
is
Gunther’s
current
age
in
years,
which
of
the
following
represents
the
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
sum
of
Mason
and
Gunther’s
ages
4
years
from
now?
(A)
E
+3
2
(B)
3G+
28
(C)
3G-12
D)
8-G
(E)
14-
3—6-
2
22.
A
baker
made
a
combination
of
chocolate
chip
cookies
and
peanut
butter
cookies
for
a
school
bake
sale.
His
recipes
only
allow
him
to
make
chocolate
chip
cookies
in
batches
of
7,
and
peanut
butter
cookies
in
batches
of
6.
If
he
made
exactly
95
cookies
for
the
bake
sale,
what
is
the
minimum
possible
number
of
chocolate
chip
cookies
that
he
made?
A)
7
B)
14
)
21
(D)
28
(E)
35
23.
Anke
has
5
fewer
candies
than
Conrad.
If
Anke
gives
Conrad
5
candies,
Conrad
will
then
have
4
times
as
many
candies
as
Anke.
How
many
candies
does
Anke
have?
(A
5
B)
10
C)
15
(D)
20
(E)
25
24.
Lou
has
three
daughters:
Wen,
Mildred,
and
Tyla.
Three
years
ago,
when
Lou
was
twice
as
old
as
Tyla,
he
was
30
years
older
than
Mildred.
Now,
he
is
47
years
older
than
Wen.
In
4
years,
Wen
will
be
half
as
old
as
Tyla.
What
is
the
sum
of
the
current
ages
of
Lou
and
his
three
daughters?
(A)
138
(B)
144
(C)
154
(D)
166
(E)
181
25.
Dwayne
planted
70
acres
with
two
types
of
beans:
navy
and
pinto.
Each
acre
of
navy
beans
yielded
27
bushels
and
each
acre
of
pinto
beans
yielded
36
bushels.
If
Dwayne
grew
twice
as
many
bushels
of
pinto
beans
as
navy
beans,
how
many
acres
of
pinto
beans
did
he
plant?
(A)
28
B)
30
C)
35
(D)
40
(E)
42