MAT 0002 Sectioin 5.1 (Ratios and rates)
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Write the ratio as a ratio of whole numbers using fractional notation. Write the fraction in simplest form.
1) 24 to 57
24
8
8
24
A)
B)
C)
D)
19
57
19
57
2) 6.4 to 10
16
A)
25
32
B)
5
25
C)
16
6.4
D)
10
3) 7.21 to 3.76
3.76
A)
7.21
7.21
B)
3.76
721
C)
376
376
D)
721
4) 56 quarts to 40 quarts
7
A)
5
7
quarts
B)
40
7
C)
40
7
D) quarts
5
B) 4
13
miles
C)
16
13
D)
16
99
B) $
12
11
C) $
12
11
D)
12
1
C)
14
1
D)
3
5) 52 miles to 64 miles
A) 4 miles
6) $99 to $108
99
A)
12
7) 42,000 copies to 14,000 copies
3
7
A)
B)
1
3
8) 1
2
1
to 3
3
2
A)
9) 7
5
14
15
2
B)
21
10
C)
15
56
D)
1
50
3)
4)
5)
6)
7)
10
21
9)
B)
50
7
C)
20
21
D)
7
2
Find the ratio described as a fraction in simplest form.
10) Use the graph below to find the ratio of Work miles to total miles.
A)
2)
8)
1
1
tons to 7 tons
7
2
A)
1)
B)
1
25
C)
1
8
25
10)
D)
3
25
11) Find the ratio of the width to the length of the rectangular swimming pool sketched below.
11)
width = 7.5 yards
A)
15
19
length = 9.5 yards
19
B)
15
C)
4
yards
19
D)
15
yards
34
12) Find the ratio of the width to the perimeter of the rectangular swimming pool sketched below.
12)
width = 18 yards
3
A)
13
length = 21 yards
7
B)
26
C)
6
13
D)
6
7
13) Find the ratio of the longest side to the perimeter of the right triangle.
45 m
53 m
A)
53
126
13)
28 m
B)
5
14
C)
28
53
D)
2
9
14) Find the ratio of the shortest side to the perimeter of the right triangle.
15 m
17 m
A)
3
8
14)
8m
B)
1
5
C)
8
17
D)
17
40
15) According to an organization's membership list, it has 2400 members who have cable TV and
1400 members who don't have cable. What is the ratio of members who don't have cable to the
total number of members?
7
7
12
12
A)
B)
C)
D)
19
12
19
7
15)
16) According to an organization's membership list, it has 1000 members who have children and
600 members who are childless. What is the ratio of members who have children to members who
are childless?
5
5
3
3
A)
B)
C)
D)
3
12
5
20
16)
17) Residents in a small town eat an average 8 hamburgers per month at neighborhood barbecues.
Residents of a large city eat an average 2 hamburgers per month at neighborhood barbecues. Find
the ratio of the number of hamburgers eaten by small town residents to the amount eaten by large
city residents.
2
8
1
A)
B)
C) 4
D)
8
2
4
17)
18) In a large triathlon, 817 males and 477 females finished the race. Find the ratio of female finishers
to male finishers.
817
477
340
A) 0.58
B)
C)
D) 1
477
817
477
18)
2
19) In a region consisting of 50 school districts, a total of 35 districts have 200 or more computers
available for student use. Find the ratio of districts with 200 or more computers to districts with
fewer than 200 computers.
7
7
40
3
A)
B)
C)
D)
40
3
7
7
19)
20) A grocer will refuse a shipment of apples if the ratio of bruised apples to the total batch is at least 1
to 7. A sample is found to contain 13 bruised apples and 76 good apples. Determine whether the
shipment should be refused.
A) Yes, the shipment should be refused.
B) No, the shipment should not be refused.
20)
Write the rate as a fraction in simplest form.
21) 105 miles in 15 minutes
7 miles
1 mile
A)
B)
1 minute
7 minutes
105 miles
C)
15 minutes
35 miles
D)
5 minutes
22) 450 yards in 50 seconds
9 yards
A)
1 second
9 seconds
B)
1 yard
45 yards
C)
5 seconds
450 yards
D)
50 seconds
23) 375 miles in 24 hours
125 miles
A)
8 hours
125 miles
B)
24 hours
375 miles
C)
8 hours
3 miles
D)
24 hours
24) 9 cars for 63 people
9 cars
A)
63 people
25) 7 tests for 14 students
2 tests
A)
7 students
B)
7 cars
1 person
C)
1 test
B)
2 students
26) 12 printers for 66 computers
66 printers
12 printers
A)
B)
12 computers
6 computers
27) 235 miles on 25 gallons
47 miles
A)
25 gallons
28) 330 hours for 12 projects
55 hours
A)
2 projects
B)
47 miles
5 gallons
C)
6 printers
C)
66 computers
2 printers
D)
11 computers
5 miles
5 gallons
D)
235 miles
5 gallons
330 hours
D)
55 projects
D)
30) 753 calories in a 12-ounce slice of quiche
251 cal
4 cal
A)
B)
4 oz
251 oz
C)
B) 5346 miles
12 oz
753 cal
B) 10,800 miles
D) 560 gallons
3
23)
24)
25)
26)
27)
28)
230 employees
5 companies
C) 66 miles
32) 540 miles on 20 gallons of gas
A) 27 miles/gallon
C) 0.037 miles/gallon
22)
29)
46 employees
B)
25 companies
46 employees
5 companies
Write the rate as a unit rate.
31) 594 miles in 9 hours
A) 603 miles/hour
9 cars
7 people
7 tests
D)
14 students
12 hours
C)
55 projects
29) 230 employees for 25 companies
25 employees
A)
5 companies
D)
2 tests
C)
1 student
C)
55 hours
B)
3 projects
1 car
7 people
21)
D)
753 cal
12 oz
D) 66 miles/hour
30)
31)
32)
33) 6 cents for 3 marbles
A) 2 cents/marble
C) 18 cents/marble
34) $1770 earned in 3 weeks
A) $590.00/week
33)
B) 0.5 cents/marble
D) 9 marbles
B) $442.50/week
C) $295.00/week
35) 2482 cars in 730 households
A) 0.294 car/household
C) 3.4 cars/household
D) $0.0017/week
B) 3212 cars/household
D) 1752 cars/household
36) 705 people in 30 buses
A) 0.043 person/bus
C) 235 people/bus
B) 675 people/bus
D) 23.5 people/bus
37) A concert tour grossed $90,000 for 5 shows.
A) $9000/concert
C) $18,000/concert
B) $90,000/5 concerts
D) $1800/concert
34)
35)
36)
37)
38) An animal can move at 1320 feet per minute. Write this rate in feet per second.
11
ft/sec
A) 79,200 ft/sec
B)
C) 82 ft/sec
D) 22 ft/sec
30
38)
39) Paul Saltwood can paint 119 doors in 8 hours, while Scott Kepler can paint 54 doors in 4 hours.
Who can paint doors faster, Paul or Scott?
A) Paul
B) Scott
39)
40) In a region, the total number of students enrolled in public schools in a recent year was 443,132. At
the same time, there were 23,919 public school teachers. Write a unit rate in students per teacher.
Round to the nearest whole student.
A) 20 students/teacher
B) 18 students/teacher
C) 21 students/teacher
D) 19 students/teacher
40)
41) A state in the United States has 164,243 residents living in 23 counties.
1
residents/county
A)
B) 7141 residents/county
7141
41)
C)
1
counties/resident
7141
D) 7141 counties/resident
42) An extreme bicyclist pedaled 3192 miles on a 24 day trip. Write this rate in miles per day.
1
miles/day
A) 133 miles/day
B)
C) 3192 miles/day
D) 24 miles/day
133
42)
43) A large charity organization receives $31,464,000 in annual donations to fund the 57 programs it
sponsors.
A) $5520/program
B) $5700/program
C) $314,640/program
D) $552,000/program
43)
Fill in the table to calculate miles per gallon.
44)
Beginning
Ending
Miles
Gallons of
Odometer Odometer Driven Gas Used
Reading
Reading
53,256
A)
B)
C)
D)
53,802
18.7
Miles
Per Gallon
(round to the
nearest tenth)
44)
miles driven: 546; miles per gallon: 10,210.2
miles driven: 107,058; miles per gallon: 29.2
miles driven: 107,058; miles per gallon: 5725
miles driven: 546; miles per gallon: 29.2
Find the unit price.
45) $38.00 for 4 compact discs
A) $9.70/compact disc
C) $19.00/compact disc
B) $10.50/compact disc
D) $9.50/compact disc
4
45)
46) $4.77 for 9 oranges
A) $1.89 per orange
C) $0.53 per orange
B) $42.93 per orange
D) $4.77 per orange
47) 5 cucumbers for $5.25
A) $5.25 per cucumber
C) $1.05 per cucumber
B) $5 per cucumber
D) $0.95 per cucumber
48) 9 sweaters for $425.25
A) $0.02 per sweater
C) $9 per sweater
B) $425.25 per sweater
D) $47.25 per sweater
49) Find which is the better buy (lower cost per ounce) by finding each unit price rounded to three
decimal places if necessary. Assume that different sizes of the same brand are being compared.
46)
47)
48)
49)
Popcorn:
$1.04 for 15 ounces
$2.04 for 28 ounces
A) $2.04 for 28 ounces
B) $1.04 for 15 ounces
C) Both cost the same per ounce.
50) Find which is the better buy (lower cost per ounce) by finding each unit price rounded to three
decimal places if necessary. Assume that different sizes of the same brand are being compared.
50)
Cream Rinse:
$3.63 for 14 ounces
$3.00 for 12 ounces
A) $3.00 for 12 ounces
B) $3.63 for 14 ounces
C) Both cost the same per ounce.
51) Find which is the better buy (lower cost per ounce) by finding each unit price rounded to three
decimal places if necessary. Assume that different sizes of the same brand are being compared.
Frozen orange juice:
$1.05 for 6 ounces
$2.1 for 12 ounces
A) $2.1 for 12 ounces
B) $1.05 for 6 ounces
C) Both cost the same per ounce.
5
51)