Solve the problem. Write ratios in lowest terms.
73)
A certain lake is 500 feet deep. A nearby lake is 1400 feet deep. Write the ratio of the first lake’s
depth to the second lake’s depth.
73)
A)
50
14
B)
500
1400
C)
5
14
D)
250
700
D)
Find the unknown number in the proportion. Write your answer as a whole number or a mixed number if possible.
74)
x
41
6
=
62
7
31
3
74)
A)
x =283
396
B)
x =7
55
C)
x =76
7
D)
x =396
875
D)
Use the information in the table to solve the problem. Write your answer as a fraction in lowest terms.
75)
The table below shows the amounts of pollutants (in parts per million) in a sample of rainwater.
Pollutant Amount
(ppm)
A29
B28
C23
D22
E20
Find the ratio of pollutant E to pollutant A.
75)
A)
61
10
B)
29
20
C)
10
61
D)
20
29
D)
For the given figure, find the ratio of the length of the longest side to the length of the shortest side. Write the ratio as a
fraction in lowest terms.
76)
A =95
8 inches C =95
8 inches
B =95
8 inches D =95
8 inches
76)
A)
4
1
B)
5929
64
C)
1
1
D)
2
1
Solve the problem.
77)
A machine can fill 3428 boxes of cereal in 0.4 hour. How many boxes of cereal can it fill per hour?
77)
A)
6856 boxes/hour
B)
8570 boxes/hour
C)
3428 boxes/hour
D)
1371 boxes/hour
Use a proportion to solve the problem.
78)
The ratio of the lengths of strings that play the notes D and B is 27 to 16. If a string 80 centimeters
long plays a B, what is the length of the string that plays a D?
78)
A)
151 centimeters
B)
107 centimeters
C)
96 centimeters
D)
135 centimeters
22
Use the information in the table to solve the problem. Write your answer as a fraction in lowest terms.
79)
The table below shows the amounts of pollutants (in parts per million) in a sample of rainwater.
Pollutant Amount
(ppm)
A34
B26
C24
D22
E20
Find the ratio of pollutant D to pollutant B.
79)
A)
22
26
B)
11
13
C)
13
11
D)
26
22
Write the following as a rate in lowest terms.
80)
96 miles in 12 minutes
80)
A)
40 miles
5 minutes
B)
96 miles
12 minutes
C)
8 miles
1 minute
D)
1 mile
8 minutes
Determine whether the proportion is true or false by writing the ratios in lowest terms.
81)
3
8
=9
21
81)
A)
True
B)
False
Write the ratio as a fraction in lowest terms.
82)
41
7 to 41
3
82)
A)
29
7
B)
13
3
C)
7
3
D)
87
91
Find the unknown number in the proportion. Write your answer as a whole number or a mixed number if possible.
83)
1
3
=x
51
8
83)
A)
x =15 1
8
B)
x =22
3
C)
x =117
24
D)
x =24
41
Determine whether the proportion is true or false by writing the ratios in lowest terms.
84)
31
2
61
2
=7
2
84)
A)
True
B)
False
Fill in the table to solve the problem.
85)
Beginning
Odometer
Reading
Ending
Odometer
Reading
Miles
Driven
Gallons of
Gas Used
Miles Per Gallon
(round to the
nearest tenth)
53,164 53,908 18.1
85)
A)
miles driven: 107,072; miles per gallon: 41.1
B)
miles driven: 744; miles per gallon: 13,466.4
C)
miles driven: 107,072; miles per gallon: 5915.6
D)
miles driven: 744; miles per gallon: 41.1
Write the following proportions.
86)
5 inches is to 7 inches as 40 inches is to 56 inches
86)
A)
5
7
=56
40
B)
5
40
=7
56
C)
40
7
=56
5
D)
5
7
=40
56
Find the unknown number in the proportion. Round answer to the nearest hundredth when necessary.
87)
41
21
=95
x
87)
A)
x =0.02
B)
x =185.48
C)
x =9.06
D)
x =48.66
Write the following proportions.
88)
9 acres is to 9.88 acres as 13.5 acres is to 14.82 acres.
88)
A)
9
14.82
=13.5
9.88
B)
9
13.5
=9.88
14.82
C)
9
9.88
=9
9.88
D)
9
9.88
=13.5
14.82
Find the best buy (based on cost per unit).
89)
Brand A: 10 cans for $3.55
Brand B: 16 cans for $5.01
Brand C: 24 cans for $6.89
Brand D: 32 cans for $9.47
89)
A)
Brand C
B)
Brand A
C)
Brand D
D)
Brand B
Write the following as a rate in lowest terms.
90)
14 tests for 98 students
90)
A)
1 test
7 students
B)
14 tests
98 students
C)
1 tests
2 students
D)
7 tests
1 student
Use a proportion to solve the problem.
91)
On Hector’s bicycle, the ratio of pedal turns to rear–wheel turns in second gear is 4 to 7. If his rear
wheel turns 651 times per mile, how many times does he turn the pedal in one mile?
91)
A)
658 times
B)
1139.3 times
C)
372 times
D)
655 times
Find the unknown number in the proportion. Round answer to the nearest hundredth when necessary.
92)
5
13
=6.5
x
92)
A)
x =16.9
B)
x =16.90
C)
x =3.9
D)
x =1.77
Use a proportion to solve the problem.
93)
The ratio of the height to the width of a packaging label is 5 to 19. If the height of the label is 2.5
inches, what is its width?
93)
A)
9.5 inches
B)
0.7 inch(es)
C)
21.5 inches
D)
7.5 inches
Find the unknown number in the proportion. Write your answer as a whole number or a mixed number if possible.
94)
1
56
1
7
=
1
7
x
94)
A)
x =1
8
B)
x =7
8
C)
x =56
D)
x =11
7
Write the ratio as a fraction in lowest terms.
95)
1.44 to 0.36
95)
A)
0.04
4
B)
4
1
C)
1
4
D)
36
36
Find the best buy (based on cost per unit).
96)
Brand A: 30 oz for $18.90
Brand B: 36 oz for $24.12
96)
A)
Brand A
B)
Brand B
C)
Not enough information
D)
Equal value
Use the information in the table to solve the problem. Write your answer as a fraction in lowest terms.
97)
The table below shows the amounts of pollutants (in parts per million) in a sample of rainwater.
Pollutant Amount
(ppm)
A31
B25
C24
D22
E20
Find the ratio of pollutant C to pollutant D.
97)
A)
22
24
B)
12
11
C)
11
12
D)
24
22
Find the cross–product and determine whether the proportion is true or false.
98)
6
13
4
=24
7
98)
A)
144 49
2; false
B)
42 =42; true
C)
18 =18; true
D)
21
2168; false
27
Use a proportion to solve the problem.
99)
The ratio of the distances a driver and a 2–iron will drive a golf ball is 5 to 4. If a golfer averages 185
yards with a 2–iron, how far should she average with a driver?
99)
A)
231.25 yards
B)
176 yards
C)
194 yards
D)
148 yards
Write the ratio as a fraction in lowest terms. Be sure to make all necessary conversions.
100)
7 minutes to 5 hours
100)
A)
7
5
B)
7
300
C)
84
D)
7
60
Use a proportion to solve the problem.
101)
On a map, the length of a nature–center trail is 4.2 centimeters. If the scale is 2 centimeters to 25
kilometers, what is the actual length of the trail?
101)
A)
52.5 kilometers
B)
53.5 kilometers
C)
105 kilometers
D)
56.5 kilometers
Find the cross–product and determine whether the proportion is true or false.
102)
24.5
31
2
=36.75
51
4
102)
A)
128.625 128.625; false
B)
85.75 192.9375; false
C)
128.625 =128.625; true
D)
127.75 =85.75; true
Use the circle graph of one family’s allowance for appliances in their new house to complete the exercise. Write ratios as
fractions in lowest terms.
103)
A = $312 D = $637
B = $1155 E = $388
C = $403 F = $114
Find the ratio of clothes dryer to microwave.
103)
A)
403
3009
B)
403
114
C)
24
49
D)
52
19
Solve the problem.
104)
Use the floor plan shown to complete the exercise. On the plan, one inch (abbreviated in.)
represents four feet. What is the length and width of bedroom 1?
A =3 in. D =2 in.
B =1.1 in. E =5.1 in.
C =3.5 in.
104)
A)
36 inches, 42 inches
B)
42 inches, 24 inches
C)
14 feet, 8 feet
D)
12 feet, 8 feet
Use a proportion to solve the problem.
105)
On a map of the Fox River, 1 centimeter represents 2.5 kilometers. If a trail by the river is actually
8.75 kilometers long, what is the length of the river on the map?
105)
A)
3.5 centimeters
B)
5.5 centimeters
C)
1.25 centimeters
D)
6.25 centimeters
Use the information in the table to solve the problem. Write your answer as a fraction in lowest terms.
106)
The table below shows the amounts of pollutants (in parts per million) in a sample of rainwater.
Pollutant Amount
(ppm)
A27
B25
C22
D21
E20
Find the ratio of pollutant B to pollutant C.
106)
A)
25
22
B)
5
23
C)
23
5
D)
22
25
Write the ratio as a fraction in lowest terms. Be sure to make all necessary conversions.
107)
31
2 days to 21
2 weeks
107)
A)
7
5
B)
1
5
C)
3
2
D)
49
5
Use a proportion to solve the problem.
108)
Joan can mow a 4–acre field in 2 hours. How long would it take her to mow a 1.2–acre field?
108)
A)
0.3 hour
B)
2.6 hours
C)
3.6 hours
D)
0.6 hour(s)
Write the ratio as a fraction in lowest terms.
109)
9 to 51
3
109)
A)
9
5
B)
16
3
C)
144
3
D)
27
16
Solve the problem.
110)
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 water for 10 servings
110)
A)
21
2 tablespoons
B)
5
6 cups
C)
5
6 ounces
D)
33
5 tablespoons
111)
Use the floor plan shown to complete the exercise. On the plan, one inch (abbreviated in.)
represents four feet. What is the length and width of the master bedroom?
A =3.7 in. D =2.4 in.
B =1.6 in. E =4.9 in.
C =3.5 in.
111)
A)
44.4 inches, 58.8 inches
B)
19.6 feet, 14.8 feet
C)
58.8 inches, 44.4 inches
D)
1.2 feet, 0.9 foot
Use a proportion to solve the problem.
112)
A label printer prints 2 pages of labels in 1.4 seconds. How long will it take to print 6 pages of
labels?
112)
A)
7.20 seconds
B)
8.20 seconds
C)
6.20 seconds
D)
4.20 seconds
Use the circle graph of one family’s allowance for appliances in their new house to complete the exercise. Write ratios as
fractions in lowest terms.
113)
A = $605 D = $425
B = $908 E = $357
C = $473 F = $352
Find the ratio of dishwasher to total allowance.
113)
A)
121
624
B)
119
1040
C)
357
962
D)
473
2647
D)
Find the unit rate.
114)
1564 cars in 680 households (reduce to a one household comparison)
114)
A)
0.435 car/household
B)
2244 cars/household
C)
884 cars/household
D)
2.3 cars/household
D)
Solve the problem.
115)
David’s net pay for a week at the video store was $69.44. If he worked 16 hours that week, what
was his net pay rate?
115)
A)
$4.63/hour
B)
$4.18/hour
C)
$4.43/hour
D)
$4.34/hour
D)
Use a proportion to solve the problem.
116)
The ratio of the distances a pitching wedge and an 8–iron will drive a golf ball is 4 to 5. If a golfer
averages 81 yards with a pitching wedge, how far should she average with an 8–iron?
116)
A)
72 yards
B)
65 yards
C)
90 yards
D)
101.25 yards
Find the unknown number in the proportion. Round answer to the nearest hundredth when necessary.
117)
3.8
2
=x
7
117)
A)
x =5.4
B)
x =353.78
C)
x =13.3
D)
x =0.27
Write the following as a rate in lowest terms.
118)
285 hours for 40 projects
118)
A)
40 hours
57 projects
B)
57 hours
9 projects
C)
285 hours
57 projects
D)
57 hours
8 projects
Find the unknown number in the proportion. Round answer to the nearest hundredth when necessary.
119)
5.55
x
=11.1
13.8
119)
A)
x =11.6
B)
x =1.207
C)
x =2.232
D)
x =6.9
Write the ratio as a fraction in lowest terms. Be sure to make all necessary conversions.
120)
8 feet to 50 inches
120)
A)
4
25
B)
50
8
C)
48
25
D)
1
75