Additional Exercises 5.1-5.4 Math 105 Ali Roshan
Name:
Date:
Write each ratio using fractional notation. Do not simplify.
1.
9 to 13
1. _______________
2.
12 to 7
2. _______________
3.
1
1
1 to 6
2
3
3. _______________
Write each ratio as a fraction in simplest form.
4.
24 to 42
4. _______________
5.
3.2 to 4.8
5. _______________
6. 30 hours to 36 hours
6. _______________
7. 180 miles to 40 miles
7. _______________
8. 640 acres to 100 acres
8. _______________
9. 1 cup to 3 cup
2
4
9. _______________
10. 1
5
3
gallons to 1 gallons
8
4
11. 2.5 meters to 5 meters
10. _______________
11. _______________
A rectangular storage building is 12 feet long and 8 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. _______________
A literature class has 14 women and 12 men.
14. Find the ratio of men to women.
14. _______________
15. Find the ratio of women to total students.
15. _______________
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Additional Exercises 5.1 (cont.)
A poll showed that 35 out of 77 households with children in a community were single-parent
households.
16. Find the ratio of single-parent households to total households.
16. _______________
17. Find the ratio of single-parent households to two-parent households.
17. _______________
In a 50-minute class period, an instructor plans 20 minutes for lecture, 15 minutes for guided
practice, and 15 minutes for a daily quiz.
18. Find the ratio of lecture time to class time
18. _______________
19. Find the ratio of quiz time to lecture time.
19. _______________
20. Find the ratio of lecture and guided practice time to quiz time.
20. _______________
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Additional Exercises 5.2
Name:
Date:
Write each rate as a fraction in simplest form.
1. $80,000 for 30 acres of timber
2.
45 children in 18 families
1. _______________
2.
_______________
3. 9 inches of snow in 30 days
3. _______________
4. 600 miles in 90 minutes
4. _______________
5. 4,000 books on 12 shelves
5. _______________
6. 240 pages in 96 minutes
6. _______________
Write each rate as a unit rate.
7. 504 calories in 12 ounces
7. _______________
8. $3,500,000 paid over 20 years
8. _______________
9.
9. _______________
4,200 gallons in 30 hours
10. 8 miles in 32 minutes
10. _______________
11. 85 windows in 5 houses
11. _______________
12. 48 tons in 8 hours
12. _______________
Find each unit price.
13. $5.20 for 20 issues
13. _______________
14. $6.75 for 9 dozen
14. _______________
Find each unit rate. Round to the nearest whole number.
15. 526 boxes packed in 8 hours
15. _______________
16. 10,127 students for 563 teachers
16. _______________
17. 355.7 miles driven on 12.1 gallons of gasoline
17. _______________
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Additional Exercises 5.2 (cont.)
Find each unit price and decide which is the better buy. Round to 3 decimal places.
18. Polyethylene construction film: $25.95 for 1200 square feet or
$36.95 for 1600 square feet
18. _______________
19. Treated lumber: $2.79 for an 8-foot board or $4.28 for a
12-foot board.
19. _______________
20. Roofing nails: $19.95 for 50 pounds or $23.10 for 60 pounds.
20. _______________
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Additional Exercises 5.3
1. Complete the statement: “A proportion is a statement
that ____ ratios or rates are equal.”
Name:
Date:
1. _______________
Write each sentence as a proportion.
2. 2 eggs is to 3 cups of flour as 6 eggs is to 9 cups of flour
2. _______________
3. 1.5 meters is to 5 kilometers as 0.3 meters is to 1 kilometer
3. _______________
1 page is to 30 minutes as 2 pages is to 120 minutes
2
4. _______________
4.
Determine whether each proportion is a true proportion.
5. 6 = 4
9 6
6.
5 = 24
12 60
7. 3 = 9
4 16
5. _______________
6. _______________
7. _______________
8.
33 71
4= 2
1
1
21
4
2
8. _______________
9.
0.3 = 1.2
0.5 1.5
9. _______________
10.
1
2 = 2
3 3
4
10. _______________
For each proportion, find the unknown number, n.
11.
22 = n
88 12
12. 10 = 15
n 18
11. _______________
12. _______________
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Additional Exercises 5.3 (cont.)
13.
n = 100
80
64
13. _______________
14.
16 = 32
n
48
14. _______________
15.
11 2 2
3 = 3
n
1
2
15. _______________
16.
5 = n
1 30
6
16. _______________
17.
3 5
4 = 6
1
n
2
17. _______________
18.
1
7 = n
1 14
2
18. _______________
19.
0.3 = n
0.8 2.4
19. _______________
20.
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n = 1.4
1.8 2.1
20. _______________
Additional Exercises 5.4
Name:
Date:
Cori's car averages 390 miles on a 12-gallon tank of gas.
1. How far can she drive on 5 gallons of gas?
1. _______________
2. How many gallons of gas would she use on a 1,040 miles trip?
2. _______________
The human body contains 90 pounds of water for every 100 pounds of body weight.
3. How many pounds of water are in Tyler’s body if he weighs
70 pounds.
3. _______________
4. How much does Josh weigh if he has 103.5 pounds of water
in his body.
4. _______________
An animal shelter allows 144 square feet of yard space per dog.
5. Find the minimum yard space for 15 dogs.
5. _______________
6. They plan to fence a rectangular area that is 90 feet by 40 feet.
Find the maximum number of dogs the new yard can accommodate.
6. _______________
On a blueprint, 1 inch corresponds to 5 feet.
7. Find the length of a wall represented by a line 2 inches long.
7. _______________
8. If an interior wall is 20 feet, find how long the blue print measurement
should be.
8. _______________
Local sales tax is $6.25 for every $100 purchase.
9. If sales tax on a sofa is $52.50, what was the purchase price of
the sofa?
9. _______________
10. Find the sales tax on a refrigerator priced at $2,100.
10. _______________
A survey revealed that 3 out of 5 people prefer chocolate ice cream.
11. In a class of 25, how many students are likely to prefer chocolate
11.
ice cream?
12. If 21 people in a room prefer chocolate, how many people are likely
to be in the room?
_______________
12. _______________
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Additional Exercises 5.4 (cont.)
Blythe's family drinks 2 gallons of milk every 3 days. :
13. How many gallons of milk do they drink in a year with 365 days?
Round to the nearest gallon.
13. _______________
14. How many gallons do they drink each week?
14. _______________
An entomologist counted 35 fire ants in 4 square feet of infested lawn.
15. How many fire ants should there be per square foot of lawn?
Round to the nearest hundredth.
15. _______________
16. If a pesticide kills 4 out of every 5 ants, how many ants should be
killed in each square foot of the lawn?
16. _______________
17. How many fire ants would be expected in the entire lawn of 2,480
square feet? Round to the nearest whole number.
17. _______________
1
1
cups of flour and 1 cups of sugar for 6 servings.
2
2
18. How many cups of flour are needed for 10 servings.
18. _______________
19. How many cups of sugar are needed for 1 serving.
19. _______________
20. How much flour and sugar is needed for 8 servings.
20. _______________
A recipe needs 2
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