Solve the proportion two different ways. First in decimal form, then in fraction form. Write your answer in lowest terms.
121)
1
10
0.2
=0.03
x
121)
A)
x =0.02 or x =1
50
B)
x =0.6 or x =3
5
C)
x =0.0006 or x =3
5000
D)
x =0.06 or x =3
50
122)
x
7
50
=0.09
14
5
122)
A)
x =17.5 or x =17 1
2
B)
x =0.014 or x =7
500
C)
x =3.5 or x =31
2
D)
x =0.007 or x =7
1000
Find the best buy (based on cost per unit).
123)
There are 3 available long distance calling cards.
ABC Phone charges $0.01 per minute and a $0.50 connection charge.
Bozo’s Telecom charges $0.025 per minute and a $0.13 connection charge.
BT&T charges $0.06 per minute and no connection charge.
Which company has the best buy for a 15 minute phone call?
123)
A)
Not enough information
B)
ABC Phone
C)
Bozo’s Telecom
D)
BT&T
Find the unknown number in the proportion. Round answer to the nearest hundredth when necessary.
124)
x
36
=7
18
124)
A)
x =14
B)
x =28
C)
x =3.5
D)
x =92.6
Find the unit rate.
125)
$1100 earned in 2 weeks
125)
A)
$550/week
B)
$0.0018/week
C)
$275.00/week
D)
$366.67/week
Find the cross–product and determine whether the proportion is true or false.
126)
140
18
=190
27
126)
A)
3780 =3780; true
B)
3780 3420; false
C)
8960 486; false
D)
3420 =3420; true
Solve the problem. Write ratios in lowest terms.
127)
Peter’s farm has a well that is 31
2 feet deep. Jill has a well in her backyard which is 14 feet deep.
Find the ratio of the depth of Peter’s well to Jill’s well.
127)
A)
7
2
B)
3
14
C)
1
2
D)
1
4
Solve the problem.
128)
A box of instant brownies has the list of ingredients shown in the table. Use this information to find
the amount of the stated ingredient you would need to make the indicated number of servings.
Ingredient For 12 Servings
Water 3 tablespoons
Oil 1
4 cup
Nuts 1
2 cup
Brownie Mix 21
2 cups
Amount of nuts for 16 servings
128)
A)
3
8 cup
B)
2
3 cup
C)
11
3 tablespoon(s)
D)
1
3 cup
Find the best buy (based on cost per unit).
129)
You have a coupon for 63 cents off Brand A cereal and a coupon for 31 cents off Brand B. A box of
Brand A cereal costs $2.31 for 10.5 ounces. A box of Brand B cereal costs $3.10 for 15.5 ounces. If you
use a coupon, which cereal is the better buy?
129)
A)
Equal value
B)
Brand A
C)
Not enough information
D)
Brand B
Write the ratio as a fraction in lowest terms. Be sure to make all necessary conversions.
130)
5 yards to 24 feet
130)
A)
8
5
B)
5
8
C)
5
24
D)
5
72
Find the best buy (based on cost per unit).
131)
Brand X: 8 oz for $3.36
Brand Y: 6 oz for $2.40
131)
A)
Not enough information
B)
Brand X
C)
Brand Y
D)
Equal value
Solve the problem. Write ratios in lowest terms.
132)
Joe drove 25 1
3 miles on Monday and 32 1
4 miles on Tuesday. Find the ratio of the distance Joe
traveled on Monday to the distance he traveled on Tuesday.
132)
A)
25
32
B)
304
387
C)
129
4
D)
76
129
Solve the problem.
133)
Mara can type 1470 words in 1
2 hour (30 minutes). How many words per minute can she type?
133)
A)
98 words/minute
B)
25 words/minute
C)
49 words/minute
D)
735 words/minute
Write the following as a rate in lowest terms.
134)
208 employees for 36 companies
134)
A)
52 employees
9 companies
B)
52 employees
36 companies
C)
208 employees
9 companies
D)
36 employees
4 companies
Use a proportion to solve the problem.
135)
Jim drove 252 miles in 6 hours. If he can keep the same pace, how long will it take him to drive
1092 miles?
135)
A)
36 hours
B)
26 hours
C)
52 hours
D)
1512 hours
Find the cross–product and determine whether the proportion is true or false.
136)
6
9
=12
18
136)
A)
54 216; false
B)
108 =108; true
C)
216 =216; true
D)
72 162; false
Find the best buy (based on cost per unit).
137)
Brand A: 24 oz for $18.96
Brand B: 18 oz for $13.50
137)
A)
Not enough information
B)
Brand B
C)
Brand A
D)
Equal value
Use the information in the table to solve the problem. Write your answer as a fraction in lowest terms.
138)
The table below shows the amounts of pollutants (in parts per million) in a sample of rainwater.
Pollutant Amount
(ppm)
A35
B33
C27
D21
E20
Find the ratio of pollutant C to pollutant A.
138)
A)
136
27
B)
35
27
C)
27
136
D)
27
35
Solve the problem.
139)
A box of instant brownies has the list of ingredients shown in the table. Use this information to find
the amount of the stated ingredient you would need to make the indicated number of servings.
Ingredient For 12 Servings
Water 3 tablespoons
Oil 1
4 cup
Nuts 1
2 cup
Brownie Mix 21
2 cups
Amount of brownie mix for 10 servings
139)
A)
11
24 cups
B)
60 tablespoons
C)
21
12 cups
D)
3 cups
Use a proportion to solve the problem.
140)
The ratio of the width to the length of a picture frame is 8 to 13. If the width of the frame is 10
inches, what is its length?
140)
A)
6.2 inches
B)
23 inches
C)
16.25 inches
D)
18 inches
141)
The ratio of the lengths of strings that play the notes D and A is 3 to 2. If a string 57 centimeters long
plays a D, what is the length of the string that plays an A?
141)
A)
59 centimeters
B)
60 centimeters
C)
85.5 centimeters
D)
38 centimeters
Determine whether the proportion is true or false by writing the ratios in lowest terms.
142)
3
100
=27
90
142)
A)
True
B)
False
Use a proportion to solve the problem.
143)
The ratio of the distances a 7–iron and a 5–iron will drive a golf ball is 5 to 6. If a golfer averages
135 yards with a 7–iron, how far should he average with a 5–iron?
143)
A)
146 yards
B)
162 yards
C)
124 yards
D)
113 yards
144)
If 5 sandwich rolls cost $1.40, how much will 28 rolls cost?
144)
A)
$7.84
B)
$8.84
C)
$9.00
D)
$7.00
Find the unknown number in the proportion. Round answer to the nearest hundredth when necessary.
145)
1
2
=x
9
145)
A)
x =18
B)
x =0.06
C)
x =4.5
D)
x =9
Determine whether the proportion is true or false by writing the ratios in lowest terms.
146)
28
6
=42
9
146)
A)
True
B)
False
Write the ratio as a fraction in lowest terms.
147)
18 cents to 66 cents
147)
A)
18
66
B)
11
66
C)
3
66
D)
3
11
Write the following proportions.
148)
$135 is to $60 as $99 is to $44
148)
A)
135
60
=44
99
B)
135
99
=60
44
C)
135
60
=99
44
D)
135
44
=60
99
Solve the problem.
149)
Sven can type 460 words in 1
3 hour (20 minutes). How many words per minute can he type?
149)
A)
153 words/minute
B)
69 words/minute
C)
8 words/minute
D)
23 words/minute
Write the following as a rate in lowest terms.
150)
63 printers for 72 computers
150)
A)
63 printers
9 computers
B)
9 printers
72 computers
C)
72 printers
63 computers
D)
7 printers
8 computers
Use the information in the table to solve the problem. Write your answer as a fraction in lowest terms.
151)
The table below shows the amounts of pollutants (in parts per million) in a sample of rainwater.
Pollutant Amount
(ppm)
A30
B28
C25
D23
E20
Find the ratio of pollutant E to pollutant C.
151)
A)
4
5
B)
5
4
C)
25
20
D)
20
25
Write the following as a rate in lowest terms.
152)
15 cars for 45 people
152)
A)
3 cars
1 person
B)
1 car
3 people
C)
15 cars
45 people
D)
15 cars
3 people
Use the information in the table to solve the problem. Write your answer as a fraction in lowest terms.
153)
The table below shows the amounts of pollutants (in parts per million) in a sample of rainwater.
Pollutant Amount
(ppm)
A33
B29
C27
D23
E20
Find the ratio of pollutant D to pollutant E.
153)
A)
23
20
B)
132
23
C)
20
23
D)
23
132
Write the following proportions.
154)
15 is to 93
4 as 60 is to 39
154)
A)
15
60
=
93
4
39
B)
15
39
=60
93
4
C)
15
93
4
=60
39
D)
60
39
=60
39
43
Fill in the table to solve the problem.
155)
Beginning
Weight
(pounds)
Ending
Weight
(pounds)
Weight
Lost
Number of
Weeks on
Diet
Weight Loss per Week
(round to the
nearest tenth)
195 167 7
155)
A)
pounds lost: 28; pounds lost per week: 4.0
B)
pounds lost: 362; pounds lost per week: 51.7
C)
pounds lost: 28; pounds lost per week: 196
D)
pounds lost: 28; pounds lost per week: 2.0
Write the ratio as a fraction in lowest terms. Be sure to make all necessary conversions.
156)
18 hours to 48 days
156)
A)
18
2
B)
1
64
C)
1
9
D)
1
216
Find the cross–product and determine whether the proportion is true or false.
157)
0.26
0.39
=3.5
4.2
157)
A)
1.092 1.365; false
B)
0.91 1.638; false
C)
1.365 =1.365; true
D)
1.092 =1.092; true
Answer Key
Testname: C5
Answer Key
Testname: C5
Answer Key
Testname: C5
Answer Key
Testname: C5