Math 074: Day 14
Name: _______________________
Work each problem. Then take turns explaining your process and your answer to the other
members of your group. If you get stuck, perhaps someone else in the group can help. For
word problems, write a sentence for each answer.
1. Define what a ratio in lowest terms is.
2. Define what a rate is.
3. Define what a proportion is.
4. Write the ratio in simplest form of the base to the height of the triangle below.
12 ft
4 ft
5. Write in simplest form the ratio of 22 to 18.
6. Write in simplest form the ratio of 30 gallons to 42 gallons.
7. Write in simplest form the ratio of
5
7
to
.
6
12
3
1
8. Write in simplest form the ratio of 1 quarts to 3 quarts.
6
4
1
9. In the finals of the 200-meter backstroke at the 2004 Summer Olympics, American Aaron
Peirsol won with a time of 114.95 seconds, more than two seconds faster than his closest
competitor. To the nearest hundredth, what was Peirsol’s rate?
10. The pattern for making tote bags requires 5.5 yards of material for 4 bags. How much
material is needed to make one bag, that is, what is the rate?
11. Which is the better buy, a 28-pack of bottled water for $4.99 or a 24-pack of the same bottled
water for $4.50? Find the answer using rates.
12. Solve:
14. Solve:
54  20  x
15 10
.

12 n
13. Solve:
3 n
.

7 21
15. Solve:
6.5
n
.

100 39.95
16. According to the 1998 Encyclopedia Britannica CD-ROM, “The marine green turtle has
been known to swim 480 km (300 miles) in 10 days." How far, in kilometers, could a marine
green turtle swim in 18 days?
17. Suppose you earn $98.28 for 13 hours of part-time work. At the same rate, approximately
how many hours would you have to work in order to earn $425?
18. Write 54% as a fraction in lowest terms and as a decimal.
19. Write 0.025 as a fraction in lowest terms and as a percent.
20. Write
3
as a decimal and as a percent.
8
2
21. What percent of 50 is 8?
22. 14 is 87.5% of what number?
23. A person purchases items marked $2.95, $12.99, $6.97, and $4.19. What is
the total cost of these purchases including Michigan’s 6% sales tax?
24. At a convenience store, a small cup of coffee costs $1.25. Senior citizens are only charged
$0.40 for the same cup of coffee. What is the percent decrease for senior citizens?
25. A pair of shoes that is on sale for 40% off is marked with a sale price of $75.
What was the original price of the shoes?
26. The population of a town was 14,600 persons in 1990 and 16,000 persons in 2000. What was
the percent increase in the town’s population from 1990 to 2000? Round your answer to 2
decimal places.
27. A local nursery is having a 30% off sale. What is the sale price of an evergreen tree that was
originally priced at $299.99?
28. A car sales person earns $200 when she sells a $40,000 car. What is her commission rate?
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Additional Practice:
Chapter 5 Review p. 281: #1 – 18
Chapter 5 Test p. 283: #1 – 18
Chapter 6 Review p. 335: #1 – 21, 23, 24
Chapter 6 Test p. 337: #1 – 21, 23, 24
Answers to Day 14 Review Sheet Exercises
4.
1
3
5.
11
9
6.
5
7
7.
10
7
8.
21
38
9. 1.74 m/sec
3
10. 1 yds/bag
8
11. 28-pack
12. x  2.7
13. n = 9
14. n = 8
15. n = 2.59675
16. A marine green turtle could swim 864 km in 18 days.
17. To earn $425 you would have to work approximately 57 hours.
18.
27
, 0.54
50
19.
1
, 2.5%
40
20. 0.375, 37.5%
21. 8 is 16% of 50.
22. 14 is 87.5% of 16.
23. The cost of the person’s purchases, including tax, is $28.73.
24. The percent decrease for senior citizens is 68%.
25. The original price of the shoes was $125.
26. The town’s population increased by about 9.59% from 1990 to 2000.
27. The sale price of the evergreen is $209.99
28. Her commission rate is 0.5%.
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