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 1) A) 2419 B) 857 C) 819 D) 2457 2) 6.4 to 10 2) A) 1625 B) 325 C) 2516 D) 6.410 3) 7.21 to 3.76 3) A) 3.767.21 B) 7.213.76 C) 721376 D) 376721 4) 56 quarts to 40 quarts 4) A) 75 B) 740 quarts C) 740 D) 75 quarts 5) 52 miles to 64 miles 5) A) 4 miles B) 4 C) 1316 miles D) 1316 6) $99 to $108 6) A) 9912 B) $ 9912 C) $ 1112 D) 1112 7) 42,000 copies to 14,000 copies 7) A) 31 B) 73 C) 114 D) 13 8) 1 23 to 312 8) A) 514 B) 2110 C) 1556 D) 1021 9) 7 17 tons to 712 tons 9) A) 152 B) 507 C) 2021 D) 72
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. 10)
11) Find the ratio of the width to the length of the rectangular swimming pool sketched below. width=7.5 yards
length=9.5 yards
11)
A) 1519 B) 1915 C) 419 yards D) 1534 yards
12) Find the ratio of the width to the perimeter of the rectangular swimming pool sketched below.
width=18 yards
length=21 yards
12)
A) 313 B) 726 C) 613 D) 67
13) Find the ratio of the longest side to the perimeter of the right triangle. 45 m
53 m 28 m
13)
A) 53126 B) 514 C) 2853 D) 29
14) Find the ratio of the shortest side to the perimeter of the right triangle. 15 m
17 m 8 m
14)
A) 38 B) 15 C) 817 D) 1740
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?
15)
A) 719 B) 712 C) 1219 D) 127
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?
16)
A) 53 B) 512 C) 35 D) 320
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.
17)
A) 28 B) 82 C) 4 D) 14
18) In a large triathlon, 817 males and 477 females finished the race. Find the ratio of female finishers
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.
19)
A) 740 B) 73 C) 407 D) 37
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.
20) A) Yes, the shipment should be refused. B) No, the shipment should not be refused. Write the rate as a fraction in simplest form.
21) 105 miles in 15 minutes 21)
A) 7 miles1 minute B) 7 minutes1 mile C) 105 miles15 minutes D) 35 miles5 minutes
22) 450 yards in 50 seconds 22)
A) 9 yards1 second B) 9 seconds1 yard C) 45 yards5 seconds D) 450 yards50 seconds
23) 375 miles in 24 hours 23)
A) 125 miles8 hours B) 125 miles24 hours C) 375 miles8 hours D) 3 miles24 hours
24) 9 cars for 63 people 24)
A) 9 cars63 people B) 7 cars1 person C) 1 car7 people D) 9 cars7 people
25) 7 tests for 14 students 25)
A) 2 tests7 students B) 2 students1 test C) 2 tests1 student D) 14 students7 tests
26) 12 printers for 66 computers 26)
A) 66 printers12 computers B) 12 printers6 computers C) 66 computers6 printers D) 2 printers11 computers
27) 235 miles on 25 gallons 27)
A) 47 miles25 gallons B) 47 miles5 gallons C) 5 miles5 gallons D) 235 miles5 gallons
28) 330 hours for 12 projects 28)
A) 55 hours2 projects B) 55 hours3 projects C) 12 hours55 projects D) 330 hours55 projects
29) 230 employees for 25 companies 29)
A) 25 employees5 companies B) 46 employees25 companies C) 46 employees5 companies D) 230 employees5 companies
30) 753 calories in a 12-ounce slice of quiche 30)
A) 251 cal4 oz B) 4 cal251 oz C) 12 oz753 cal D) 753 cal12 oz Write the rate as a unit rate.
31) 594 miles in 9 hours 31)
A) 603 miles/hour B) 5346 miles C) 66 miles D) 66 miles/hour
32) 540 miles on 20 gallons of gas 32)
A) 27 miles/gallon B) 10,800 miles
33) 6 cents for 3 marbles 33)
A) 2 cents/marble B) 0.5 cents/marble
C) 18 cents/marble D) 9 marbles
34) $1770 earned in 3 weeks 34)
A) $590.00/week B) $442.50/week C) $295.00/week D) $0.0017/week
35) 2482 cars in 730 households 35) A) 0.294 car/household B) 3212 cars/household C) 3.4 cars/household D) 1752 cars/household 36) 705 people in 30 buses 36) A) 0.043 person/bus B) 675 people/bus C) 235 people/bus D) 23.5 people/bus
37) A concert tour grossed $90,000 for 5 shows. 37)
A) $9000/concert B) $90,000/5 concerts
C) $18,000/concert D) $1800/concert
38) An animal can move at 1320 feet per minute. Write this rate in feet per second. 38) A) 79,200 ft/sec B) 1130 ft/sec C) 82 ft/sec D) 22 ft/sec
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? 39)
A) Paul B) Scott
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.
40)
A) 20 students/teacher B) 18 students/teacher
C) 21 students/teacher D) 19 students/teacher
41) A state in the United States has 164,243 residents living in 23 counties. 41) A) 17141 residents/county B) 7141 residents/county
C) 17141 counties/resident D) 7141 counties/resident
42) An extreme bicyclist pedaled 3192 miles on a 24 day trip. Write this rate in miles per day. 42) A) 133 miles/day B) 1133 miles/day C) 3192 miles/day D) 24 miles/day
43) A large charity organization receives $31,464,000 in annual donations to fund the 57 programs it
sponsors. 43)
A) $5520/program B) $5700/program
C) $314,640/program D) $552,000/program
Fill in the table to calculate miles per gallon. 44) Beginning Odometer Reading Ending Odometer Reading Miles Driven Gallons of Gas Used Miles Per Gallon (round to the nearest tenth) 53,256 53,802 18.7 44)
A) miles driven: 546; miles per gallon: 10,210.2 B) miles driven: 107,058; miles per gallon: 29.2 C) miles driven: 107,058; miles per gallon: 5725 D) miles driven: 546; miles per gallon: 29.2 Find the unit price.
46) $4.77 for 9 oranges 46)
A) $1.89 per orange B) $42.93 per orange
C) $0.53 per orange D) $4.77 per orange
47) 5 cucumbers for $5.25 47)
A) $5.25 per cucumber B) $5 per cucumber
C) $1.05 per cucumber D) $0.95 per cucumber
48) 9 sweaters for $425.25 48)
A) $0.02 per sweater B) $425.25 per sweater
C) $9 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. Popcorn: $1.04 for 15 ounces $2.04 for 28 ounces 49) 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. Cream Rinse: $3.63 for 14 ounces $3.00 for 12 ounces 50) 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
51)
A) $2.1 for 12 ounces B) $1.05 for 6 ounces
