MAT0018CChapter6
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Arizona State University *
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Course
42191
Subject
Mathematics
Date
Jan 9, 2024
Type
Pages
14
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MATO0018C
Developmental
Math
|
Chapter
6
Ratios,
Rates,
Proportions,
and
Percentages
Additional
Exercises
6.1
Write
each
ratio
as
a
ratio
of
whole
numbers
using
fractional
notation
in
simplest
form.
1.
6t017
1.
"
2.
8to24
'
2.
1
3
'
3.
22
tg
3§
3.
4.
351010
4.
5.
12t0
18
|
5.
6.
2.8t05.6
6.
7.
60
miles
to
15
miles
7.
8.
280
acres
to
120
acres
8.
9.
78
gallons
to
86
gallons
9.
10.
$85to
$120
10.
11.
0.6
meters
to
3
meters
11.
A
rectangular
storage
building
is
20
feet
long
and
15
feet
wide.
12.
Find
the
ratio
of
the
width
to
the
length
in
simplest
terms.
12.
13.
Find
the
ratio
of
the
length
to
the
perimeter
of
the
building.
13.
14.
Find
the
ratio
of
the
width
to
the
perimeter
of
the
building.
14.
A
math
class
has
18
women
and
10
men.
15.
Find
the
ratio
of
men
to
women.
15.
16.
Find
the
ratio
of
men
to
total
students.
16.
Write
each
rate
as
a
unit
rate.
17.
156
calories
in
12
ounces
7.
18.
434
miles
in
7
hours
8.
Find
each
unit
price
and
decide
which
is
a
better
buy.
19.
Treated
lumber:
$3.79
for
an
8-foot
board
or
$6.18
for
a
12-
19.
foot
board.
20.
50
aspirin
tablets
for
$3.79
or
100
aspirin
tablets
for
$5.85.
20.
E56
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Name:
Instructor:
Additional
Exercises
6.2
Write
each
sentence
as
a
proportion.
1.
3eggsis
to
6
cups
of
flour
as
12
eggs
is
to
24
cups
of
flour.
2.
0.5
meters
is
to
5
kilometers
as
3
meters
is
to
30
kilometers.
1
.
.
.
.
3.
3
page
is
to
20
minutes
as
1
page
is
to
60
minutes.
Determine
whether
each
proportion
is
a
true
proportion.
4
D23
9
5
.42
g8
56
6
212
4
16
7.
L1
32
4
g
+.28
5
5
1
g,
2
_13
3
9
Date:
Section:
E57
Additional
Exercises
6.2
(cont.)
For
each
proportion,
find
the
unknown
number
x.
10,
—==
11.
-5—=
x
12,
—=—
13.
-1
2
=
A
5
6
w.%:i
€
X
16.
17.
2%
18.
—=
19.
ES58
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
Name:
Instructor:
Additional
Exercises
6.3
Solve.
Amanda’s
car
averages
588
miles
on
a
21
gallon
tank
of
gas.
1.
How
far
can
she
drive
on
6
gallons
of
gas?
2.
How
many
gallons
of
gas
would
she
use
on
a
975
mile
trip?
Round
to
the
nearest
tenth.
An
80-pound
bag
of
ready
to
use
concrete
mix
fills
8
cubic
feet.
3.
Joe
needs
280
cubic
feet
of
concrete,
how
many
bags
does
he
need?
4.
If
Sue
buys
10
bags,
how
many
cubic
feet will
that
fill?
A
animal
shelter
allows
150
square
feet
of
yards
space
per
dog.
5.
Find
the
minimum
yard
space
for
5
dogs.
6.
They
plan
to
fence
a
rectangular
area
that
is
30
by
10.
Find
the
maximum
number
of
dogs
the
new
yard
can
accommodate.
On
a
road
map,
1
inch
corresponds
to
30
miles.
7.
Find
the
distance
represented
by
a
line
segment
2%
inches
long.
8.
If
two
cities
are
150
miles
apart,
find
the
measurement
on
the
map.
Local
sales
tax
is
$6.25
for
every
$100
purchase.
9.
If
sales
tax
on
a
sofa
is
$18.75,
what
was
the
purchase
price
of
the
sofa?
10.
Find
the
sales
tax
on
a
refrigerator
priced
at
$550.
(Round
to
the
nearest
cent.)
Date:
Section:
10.
E59
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Additional
Exercises
6.3
(cont.)
11.
A
survey
revealed
that
4
out
of
5
people
prefer
vanilla
ice
cream
to
chocolate.
In
a
class
of 35,
how
many
students
are
likely
to
prefer
chocolate
ice
cream?
12.
Another
survey
indicated
that
3
out
of
5
people
prefer
water
over
iced
tea.
If
12
people
in
a
room
prefer water,
how
many
people
would
most
likely
choose
iced
tea?
13.
If
a
family
drinks
2
gallons
of
milk
every
3
days,
how
many
gallons
of
milk
do
they
drink
in
a
month
(30
days)?
12.
If
Cate,
the
family
dog,
eats
2
cups
of
dried
dog
food
each
day,
how
many
cups
are
eaten
each
week?
15.
If
Hilda
can
word
process
and
spell
check
5
pages
in
30
minutes,
how
long
will
it
take
her
to
finish
her
research
paper
which
is
25
pages
long?
16.
If
a
recipe
calls
for
2-‘2—
cups
of
sugar
for
2
dozen
cookies,
how
much
sugar
is
needed
to
make
6
dozen
cookies?
1
17.
If
>
inch
represents
60
miles
on
a
road
map,
what
is
the
distance
represented
by
3—;—
inches?
18.
A
mix
uses
two
eggs
to
make
12
pancakes.
How
many
eggs
are
needed
to
make
36
pancakes?
19.
You
burn
about 200
calories
while
jogging
for
45
minutes.
How
long
would
you
have
to
jog
to
burn
600
calories?
20.
Judy
reads
8
pages
in
15
minutes.
How
many
pages
can
she
read
in
an
hour?
E60
11.
12.
13.
14.
15.
16.
17.
18.
_
19.
20.
et
4
5,‘;(
Percents,
Decimals,
and
Fractions
Write
a
Percent
to
represent
the
situation
1.
Ifthere
are
100
people
in
a
room,
and
95
of
them
love
cats,
what
percent
of
the
people
inthe
room
loves
cats?
2.
If
5
out
of
100
cats
have
fleas,
what
percent
of
cats
have
fleas?
3.
49
people
take
a
bus
to
a
party.
The
party
has
a
total
of
100
guests.
What
percent
of
the
guests
took
a
bus?
4.
Angela
takes
a
math
test
and
gets
66
questions
correct.
If
there
are
100
questions
on
the
test,
what
percent
did
she
earn?
Convert
the
following
fractions
into
percents
5.
2
8
6
2
2
Convert
the
following
decimals
into
percents
9.
049
10.
1.06
11.
0.001
Convert
the
following
percents
into
fractions
15.
48%
16.
250%
MAT0018C
17.
18.
Math
Connections
Worksheets
[P
age
1
éb’
Solving
Percent
Problems
with
Equations
19.
20.
21,
22,
23.
24,
25.
26.
27.
28.
29.
30.
31,
32,
33.
34,
Solve
What
is
14%
of
5007
16%
of
what
number
is
327
What
percent
of
325
is
657
80
is
80%
of
what
number?
What
number
is
4%
of
507
80
is
what
percent
of
2507
What
is
78%
of
507
What
is
16%
of
32?
33
is
what
percent
of
60?
What
is
21%
of
827
12
is
what
percent
of
2?
What
is
63%
of
07
5.3
is
53%
of
what?
What
is
120%
of
157
30
is
what
percent
of
157
What
is
5%
of
200
MATO0018C
Math
Connections
Worksheets
|
Page
2
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f
-y
{>,
#
Application
of
Percent
Solve
35.
A
woman
counts
6
black
cats
at
a
shelter.
If
this
is
1.5%
of
the
total
number
of
cats,
how
many
cats
are
in
the
shelter?
36.
A
good
person
spent
$600
on
pet
supplies.
She
spent
$66
on
catnip
.
What
Percent
was
spent
on
catnip?
37.
85%
of
students
in
the
class
love
math.
If
there
are
20
students
in
the
class,
how
many
love
math?
38.
Chops
the
cat
is
a
fat
cat
who
eats
too
much.
One
day
she
eats
7lbs
of
food.
If
she
weighs
35Ibs,
what
percent
of
her
body
weight
did
she
eat
39.
6%
of
students
in
an
auditorium
do
not
like
cheese.
If
there
are
9
students
who
do
not
like
cheese,
how
many
people
are
in
the
auditorium?
40.
96%
of
all
first-year
students
consider
majoring
in
math.
If
there
were
2500
first-year
students,
how
many
considered
majoring
in
math?
41.
Autumn
score
80
on
a
math
test.
She
is
so
distraught
that
for
her
next
test,
she
studies
hard
and
scores
a
96.
What
is
the
percent
increase?
42.
Kathy
scores
a
95
on
her
factoring
test.
Being
filled
with
arrogance,
she
doesn’t
study
for
her
next
test
and
scores
57.
What
is
the
percent
decrease?
MAT0018C
Math
Connections
Worksheets
[Page
3
é,»‘?‘
Application
of
Percent:
Sales
tax,
Commission,
and
Discount
43.
44,
45,
46.
47.
48.
49.
50.
51.
52.
53.
54.
Solve
Keith
is
buying
a
new
bed
for
his
dog.
The
bed
costs
$75
and
the
sales
tax
is
5%.
How
much
is
the
tax
on
this
item?
How
much
is
the
total
cost
of
the
item.
Ray
is
buying
a
new
lawn
mower
that
costs
$3000.
The
sales
tax
is
6%.
How
much
is
the
taxon
this
item?
How
much
is
the
total
cost
of
the
item.
Katie
is
advertises
a
gift
basket
that
costs
$20.
If
the
sales
tax
is
6.5%.
How
much
will
the
tax
on
this
item
be?
How
much
will
the
items
cost
in
total.
Angela
is
buying
a
new
set
of
juggling
clubs;
They
cost
$35
apiece
and
the
sales
tax
is
4%.
If
she
wants
to
buy
6
clubs,
how
much
will
she
spend,
including
tax?
Lee
is
selling
a
new
car
for
$9,000
and
earns
5%
commission.
How
much
did
he
earn?
Jeff
buys
a
jewel
encrusted
cat-collar
for
$545.
if
the
saleslady
makes
2%
commission,
how
much
did
she
earn?
Steve
finds
a
great
deal
on
a
jet-airplane.
The
airplane
costs
$85.
The
salesman
earns
6%
commission.
How
much
did
he
earn?
Nick
wants
to
buy
a
load
of
bulk
coffee
for
$376.
Rob,
the
salesman,
earns
25%
commission.
How
much
does
Rob
earn
from
this
transaction?
,
Adam
wants
to
buy
new
beeper
for
$20.
He
receives
a
15%
discount
for
being
an
educator.
How
much
will
the
beeper
costs
after
the
discount?
Vanessa
wants
to
buy
a
new
solid
gold
hat
that
costs
$8,000
(to
match
her
solid-gold
shoes).
Because
she
is
buying
them
on
Black
Friday,
she
receives
a
35%
discount.
How
much
will
this
hat
end
up
costing
her?
Justin
wants
to
take
a
cruise
to
Uganda,
costing
$1,200.
Because
he
booked
in
advance,
he
can
expect
a
discount
of
20%.
How
much
will
this
trip
cost
him?
Dianna
wants
to
buy
a
suit
of
armor
that
normally
costs
$3,628.
Because
she
is
a
frequent
buyer
of
armor,
she
receives
a
discount
of
25%.
How
much
will
this
suit
of
armor
cost
her?
'
MAT0018C
Math
Connections
Worksheets
|
Page
4
4
C}
Application
of
Percent:
Interest
Solve
55.
Iris
receives
an
inheritance
of
50,000
and
decides
to
invest
it.
She
places
it
in
a
bank
account
that
receives
4%
interest
for
3
years,
How
much
interest
will
she
earn?
How
much
money
will
be
in
the
account
at
the
end
of
the
3
years?
56.
Carol
invests
$300
in
an
account
that
receives
2%
interest
for
7
years.
How
much
interest
will
she
earn?
How
much
money
will
be
in
the
account?
57.
Renee
wants
to
invest
for
his
retirement.
He
invests
$90
in
an
account
that
receives
2%
interest
for
20
years.
How
much
interest
will
he
earn?
How
much
money
will
be
in
the
account?
58.
Oscar
deposits
$950
in
an
account
earning
5%
interest
for
10
years.
How
much
interest
will
she
earn?
How
much
money
will
be
in
the
account?
MATO0018C
Math
Connections
Worksheets
|
Page5
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Chapter
6
e
6.1
6.2
6
1.
—
1.
1:_1_2_
17
6
24
1
.
2
L
,
09
3
3
5
30
2
1
3.
-
=
3
3.
i:_l_
7
20
60
4.
50
4.
yes
5
5.
no
5.
=
6.
yes
3
7.
no
1
8.
yes
6.
—
2
9.
yes
4
10.
9
7.
n
11.
6
12.
18
g
L
13.
3
3
14.
2
39
1
9.
—
15.
—
43
40
17
16.
12
10.
=/
17.
9
1
18.
20
11.
5
19.
6
3
20.
—
1
2
s
4
2
13.
=
7
3
4.
—
14
15.
Bl
9
16.
=
14
17.
13
calories/ounce
18.
62
miles/hour
19.
$3.79
20.
100
aspirin
E120
Answers
6.3
1.
168
miles
2.
34.8
gallons
3.
35bags
4.
80cuft
5.
750sqft
6.
2dogs
7.
67.5
miles
8.
5Sin
9.
$300
10.
$34.38
11.
7
people
12.
8
people
13.
20
gallons
14.
14
cups
15.
150
minutes
1
16.
7—
cups
7
P
17.
420
miles
18.
6
eggs
19.
135
minutes
20.
32
pages
MATO0012c
Pre-Algebra
Chapterf’évt/_élcl‘
|
KEY
]
100
46.
$218.40
1.
95%
22.
2.
5%
23.
2
47.
$450
3.
49%
24.
32%
48.
$109
4.
66%
25.
39
49,
$2.70
5.
87.5%
26.
5.12
‘
50.
$96
6.
50%
27.
55%
51.
$17
7.
550%
28.17.22
52.
$5200
8.
16%
29.
600%
53.
$960
9.
49%
30.
0
54,
$2721
10.
106%
31.
10
55.
$6000/$56,000
11.
0.1%
32.18
56.
$42/$3420
12.
38%
33.
200%
57.
$360/$450
13.
200%
34,
10
58.
$475/$1425
14.
5%
35.
400
cats
s
22
36.
11%
"
25
37.
17
students
16.
5
38.
20%
2
39.
150
students
41
17.
100
40.
2400
students
3
41,
20%
18,
—
1000
42.
40%
19.
70
43,
$3.75/$78.75
20.
200
44,
$180/$3180
21.
20%
45,
$130/$2130