# Rate, percentages, and fractions

Can someone please help me out with these problems by explaining them one by one and step-by-step.

1. If a person drives 2/3 of a 66-mile trip, how much did he drive?

A. 42 miles

B. 46 miles

C. 44 miles

D. 22 miles

2. If Al has 25 neckties and 20% of the neckties are red, how many red neckties does Al have?

A. 5

B. 4

C. 6

D. 10

3. Convert the fraction 7/8 into?/24.

A. 20/24

B. 22/24

C. 21/24

D. 23/24

4. The fraction 1/8 is what percent?

A.18%

B. 12.5%

C. 14%

D. 8%

5. What is 120% of 90?

A. 99

B. 104

C. 106

D. 108

6. Of the 600 crimes committed last month, 39 of those where for shoplifting. What percent of total crimes were shoplifting?

A. 5%

B. 6%

C. 6.5%

D. 8.5%

7. What fraction is the largest?

A. 7/16

B. ½

C. 2/5

D. 11/20

8. If 4x + 20 = 104, what does x equal?

A. 20

B. 21

C. 22

D. 24

9. If a $135.00 item where discounted by 3%, what would be the new selling price?

A. $130.95

B. $129.95

C. $131.95

D. $130.00

10. If a bus travels an average of 45 miles per hour, how many hours must it fly to complete a 495 mile trip?

A. 9 hours 45 minutes

B. 10 hours 45 minutes

C. 10 hours 30 minutes

D. 7 hours 30 minutes

11. If a candidate receives 45% of the 1280 votes cast, how many votes did the candidate receive?

A. 576

B. 564

C. 586

D. 548

12. 20% of 80 multiplied by 9 equals?

A. 124

B. 144

C. 160

D. 176

13. 306 minus 73 equal X. how much does 2x equal?

A. 466

B. 233

C. 464

D. 486

14. In a swimming competition, officer Tom Hunker completed a ¼ mile swim in 15 minutes. What is his speed in miles per hour?

A. .56

B. 1

C. 1.5

D. .25

15. During a civil service examination, Damon read the instructions that requires each applicant to finish the 110 item test in 90 minutes. How much time (in seconds) should Damon spend in each test item to be able to complete the test in the time allotted?

A. 46.20 seconds

B. 47.40 seconds

C. 49.10 seconds

D. 51 seconds

16. Officer Hanks lives 12 miles away from the police station. If he drives 45 miles per hour, how long will it take him to reach home?

A. 9 minutes

B. 12 minutes

C. 14 minutes

D. 16 minutes.

#### Solution Summary

The solution provides a set of algebra problems that involves converting fractions, finding rates, and working with percentages.