Ratios
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School
Carnegie Mellon University *
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Course
607
Subject
Mathematics
Date
Jan 9, 2024
Type
Pages
12
Uploaded by MateOstrich3958
Ratios
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.
The
ratio
of
men
to
women
in
a
garden
club
is
5
to
4.
Quantity
A
.
Quantity
B
The
smallest
possible
number
of
20
1.
garden
club
members
2.
A
pantry
holds
x
cans
of
beans,
twice
as
many
cans
of
soup,
and
half
as
many
cans
of
tomato
paste
as
there
are
cans
of
beans.
If
there
are
no
other
cans
in
the
pantry,
which
of
the
following
could
be
the
total
number
of
cans
in
the
pantry?
Indicate
two
such
numbers.
O
6
O
7
[
36
[
45
63
3.
If
there
are
20
birds
and
6
dogs
in
a
park,
which
of
the
following
represents
the
ratio
of
dogs
to
birds
in
the
park?
(A)
3:13
B)
3:10
(C)
10:3
(D)
13:3
(E)
1:26
4.
If
there
are
7
whole
bananas,
14
whole
strawberries,
and
no
other
fruit
in
a
basket,
what
is
the ratio
of
strawberries
to
the
total
pieces
of
fruit
in
the
basket?
Give
your
answer
as
a
fraction.
5.
The
ratio
of
cheese
to
sauce
for
a
single
pizza
is
1
cup
to
—
cup.
If
Bob
used
15
cups
of
sauce
to
make
a
number
of
pizzas,
how
many
cups
of
cheese
did
he
use on
those
pizzas?
cups
of
cheese
6.
Laura
established
a
new
flower
garden,
planting
4
tulip
plants
for
every
1
rose
plant,
and
no
other
plants.
If
she
planted
a
total
of
50
plants
in
the
garden,
how
many
of
those
plants
were
tulips?
tulip
plants
7.
A
certain
automotive
dealer
sells
only
cars
and
trucks,
and
the
ratio
of
cars
to
trucks
on
the
lot
is
1
to
3.
If
there
are
currently
51
trucks
for
sale,
how
many
cars
does
the
dealer
have
for
sale?
(A)
17
(B)
34
(C)
68
(D)
153
(E)
204
8.
A
steel
manufacturer
combines
98
ounces
of
iron
with
2
ounces
of
carbon
to
make
one
sheet
of
steel.
How
many
ounces
of
iron
were
used
to
manufacture
—
of
a
sheet
of
steel?
2
A)
1
(B)
49
(C)
50
(D)
198
(E)
200
9.
Maria
uses
a
recipe
for
36
cupcakes
that
requires
8
cups
of
flour,
12
cups
of
milk,
and
4
cups
of
sugar.
How
many
cups
of
milk
would
Maria
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require
for
a
batch
of
9
cupcakes?
(A)
(B)
©)
(D)
(E)
2
3
4
6
3
10.
In
a
certain
orchestra,
each
musician
plays
only
one
instrument
and
the
ratio
of
musicians
who
play
either
the
violin
or
the
viola
to
musicians
who
play
neither
instrument
is
5
to
9.
If
7
members
of
the
orchestra
play
the
viola
and
four
times
as
many
play
the
violin,
how
many
play
neither?
(A)
(B)
©)
(D)
(E)
11.
The
ratio
of
0.4
to
5
equals
which
of
the
following
ratios?
(A)
(B)
©)
(D)
(E)
4
to
55
S5to4
21025
4105
410
45
12.
On
a
wildlife
preserve,
the
ratio
of
giraffes
to
zebras
is
37
:
43.
If
there
are
300
more
zebras
than
giraffes,
how
many
giraffes
are
on
the
wildlife
preserve?
(A)
1,550
(B)
1,850
C)
2,150
(D)
2,450
(E)
2,750
13.
At
a
certain
company,
the
ratio
of
male
to
female
employees
is
3
to
4.
If
there
are
5
more
female
employees
than
male
employees,
how
many
male
employees
does
the
company
have?
(A)
12
B)
15
(C)
18
D)
21
()
24
14.
On
Monday,
a
class
has
8
girls
and
20
boys.
On
Tuesday,
a
certain
number
of
girls
joined
the
class
just
as
twice
that
number
of
boys
left
the
class,
changing
the
ratio
of
girls
to
boys
to
7
to
4.
How
many
boys
left
the
class
on
Tuesday?
(A)
5
B)
6
(C)
11
D)
12
(E)
18
15.
If
a
dak
is
a
unit
of
length
and
14
daks
=
1
jin,
how
many
squares
with
a
side
length
of
2
daks
can
fit
in
a
square
with
a
side
length
of
2
jins?
(A)
14
(B)
28
(C)
49
(D)
144
(E)
196
In
a
group
of
adults,
the
ratio
of
women
to
men
is
5
to
6,
while
the
ratio
of
left-handed
people
to
right-handed
people
is
7
to
9.
Everyone
is
either
left-
or
right-handed;
no
one
is
both.
16.
Quantity
A
Quantity
B
The
number
of
women
inthe
The
number
of
left-handed
people
group
in
the
group
Party
Cranberry
is
3
parts
cranberry
juice
and
1
part
seltzer.
Fancy
Lemonade
is
1
part
lemon
juice
and
2
parts
seltzer.
An
amount
of
Party
Cranberry
is
mixed
with
an
equal
amount
of
Fancy
Lemonade.
Quantity
A
Quantity
B
The
fraction
of
the
resulting
mix
The
fraction
of
the
resulting
mix
17.
that
is
cranberry
juice
that
is
seltzer
The
ratio
of
16
to
g
is
equal
to
the
ratio
of
g
to
49.
Quantity
A
Quantity
B
18.
g
28
19.
In
a
parking
lot,
—
of
the
vehicles
are
black
and
—
of
the
remainder
are
5
white.
How
many
vehicles
could
be
parked
on
the
lot?
(A)
8
B)
12
(C)
20
(D)
30
(E)
35
20.
Oil,
vinegar,
and
water
are
mixed
in
a
3
to
2
to
1
ratio
to
make
salad
dressing.
If
Larry
has
8
cups
of
oil,
7
cups
of
vinegar,
and
access
to
any
amount
of
water,
what
is
the
maximum
number
of
cups
of
salad
dressing
he
can
make
with
the
ingredients
he
has
available,
if
fractional
cup
measurements
are
possible?
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(A)
12
B)
13
(C)
14
(D)
15
(E)
16
21.
With
y
dollars,
5
oranges
can
be
bought.
If
all
oranges
cost
the
same,
how
many
dollars
do
25
oranges
cost,
in
terms
of
y?
y
A
&
(A)
;
B)
y
(C)
y+5
(D)
5y
(E)
25y
22.
A
woman
spent
—
of
her
weekly
salary
on
rent
and
—
of
the
3
remainder
on
food,
leaving
$40 available
for
other
expenses.
What
is
the
woman’s
weekly
salary?
(A)
$160
(B)
$192
C)
$216
(D)
$240
(E)
$256
23.
In
a
certain
rectangle,
the
ratio
of
length
to
width
of
a
rectangle
is
3
:
2
and
the
area
is
150
square
centimeters.
What
is
the
perimeter
of
the
rectangle,
in
centimeters?
(A)
10
(B)
15
(C)
25
(D)
40
(E)
50
24,
In
a
certain
country,
8
rubels
are
worth
1
schilling,
and
5
schillings
are
worth
1
lemuw.
In
this
country,
6
lemuws
are
equivalent
in
value
to
how
many
rubels?
(A)
bl
3
(B)
30
(C)
40
(D)
48
(E)
240
25.
Team
A
and
team
B
are
raising
money
for
a
charity
event.
The
ratio
of
money
collected
by
team
A
to
money
collected
by
team
B
is
5
:
6.
The
ratio
of
the
number
of
students
on
team
A
to
the
number
of
students
on
team
B
1s
2
:
3.
What
is
the
ratio
of
money
collected
per
student
on
team
A
to
money
collected
per
student
on
team
B?
(A)
4:5
(B)
5:4
(C)
5:6
D)
5:9
(E)
9:5
2
:
:
..
26.
Jarod
uses
—
of an
ounce
of
vinegar
in
every
2
cups
of
sushi
rice
that
3
he
prepares.
To
prepare
7
cups
of
sushi
rice
in
the
same
proportion,
how
many
ounces
of
vinegar
does
Jarod
need?
(A)
=
2
(B)
.
3
©)
2
3
(D)
o
2
14
E)
—
3
The
total
cost
of
3
bananas,
2
apples,
and
1
mango
is
$3.50.
The
total
cost
of
3
bananas,
2
apples,
and
1
papaya
is
$4.20.
The
ratio
of
the
cost
of
a
mango
to
the
cost
of
a
papaya
is
3
:
5.
Quantity
A
Quantity
B
27.
The
cost
of
a
papaya
$2.00
28.
In
a
certain
town,
—
of
the
total
population
is
employed.
Among
the
unemployed
population,
the ratio
of
males
to
females
is
5
:
7.
If
there
are
40,000
employed
people
in
the
town,
how
many
females
are
unemployed?
(A)
16,000
(B)
25,000
(C)
35,000
(D)
65,000
(E)
75,000
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29.
On
a
certain
map
of
the
United
States,
—
of
an
inch
represents
a
distance
of
400
miles.
If
Oklahoma
City
and
Detroit
are
separated
on
the
map
by
approximately
—
of
an
inch,
what
is
the
approximate
distance
between
them
in
miles?
(A)
240
(B)
360
(C)
600
(D)
800
(E)
1,000
30.
A
machine
can
manufacture
20
cans
per
hour,
and exactly
10
such
cans
fit
into
every
box.
Maria
packs
cans
in
boxes
at
a
constant
rate
of
3
boxes
per
hour.
If
the
machine
ran
for
2
hours
and
was
then
turned
off
before
Maria
started
packing
the
cans
in
boxes,
how
many
minutes
would
it
take
Maria
to
pack
all
the
cans
that the
machine
had
made?
(A)
40
(B)
45
(C)
80
(D)
160
(E)
800
31.
If
Beth
has
%
more
money
than
Ari,
and
each
person
has
an
integer
number
of
dollars,
which
of
the
following
could
be
the
combined
value
of
Beth
and
Ari’s
money?
Indicate
all
such
values.
O
s12
[
$54
72
1
$200
32.
If
salesperson
A
sold
35%
more
motorcycles
than
salesperson
B,
which
of
the
following
could
be
the
total
number
of
motorcycles
sold by
both
salespeople?
Indicate
all
such
total
numbers
of
motorcycles.
47
1
70
1
135
1
235
33.
A
zoo
has
twice
as
many
zebras
as
lions
and
four
times
as
many
monkeys
as
zebras.
Which
of
the
following
could
be the
total
number
of
zebras,
lions,
and
monkeys
at
the
zoo?
Indicate
all
such
totals.
14
22
[
28
[
55
121
34.
In
nation
Z,
10
terble
coins
equal
1
galok.
In
nation
Y,
6
barbar
coins
equal
1
murb.
If
a
galok
is
worth
40%
more
than
a
murb,
what
is
the
ratio
of
the
value
of
1
terble
coin
to
the
value
of
1
barbar
coin?
(A)
E
5
11
B)
—
13
3
©)
=
7
21
(D)
23
21
E)
—
25
35.
Autolot
has
a
2
:
1
ratio
of
blue
cars
to
red
cars
and
a
6
:
1
ratio
of
red
cars
to
orange
cars
on
the
lot.
What
could
be the
total
number
of
blue,
red,
and
orange
cars
on
the
lot?
(A)
38
B)
39
(C)
40
(D)
41
(E)
42
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