Proportion and ratio problems:

1. Find (1+i) / (3-i) 

2. Evaluate (2+i)(2+i)(2+i)

3. The tens digit of a two-digit number exceeds its units digit by 4.
   The number exceedstwice the number obtained by reversing the digits of the
   original number by 10. What is the original number ?

4. The number 66 is divided into smaller numbers. One number is 3 more than
   twice the other number. Find the larger of the two numbers.

5. Find two consecutive odd integers such that 1/3 the smaller plus twice the
   larger equals 7 more than the sum of the two numbers.

6. What is the valueof x if if 1 minus the reciprocal of (1-x) equals the 
   reciprocal of (1-x) ?

7. Eva can do a job in 10 days, whle Vivian takes 15 days to do it. After 
   Vivian works alone for 3 days. Eva and Vivian work together to finish the 
   job. How many days did Eva works ?

8. A car travels 120 miles from A to B at 30 miles per hour but returns the 
   same distance at 40 miles per hour. What is the average speed for the round 
   trip ?

9. A man can do a job in 9 days and his son can do the same job in 16 days. 
   They start to work together. After 4 days the son leaves and the father 
   finishes the job alone. How many days does the man take to finish the job ?

10. 25 women did 1/5 of a job in 8 days. Then, because of emergency, it became 
    necessary to complete the job in the next 20 days. How many additional 
    women needed to be added to the crew of 25 to accomplish this ?

11. A crew of 30 people build a certain road in 60 days. After the 10th day the 
    plans  are changed; the company wants to build the road in 30 days. How 
    many more people must be hired ?

12. When 3 numbers are added 2 at a time, the sums are 29,46, and 53. What is 
    the sum of all 3 numbers ?

13. A pool has 2 pipes connected to it. It takes the large pipe 10 minutes to 
    fill up the pool with the water. It takes the small pipe 40 minutes to 
    fill up the pool with water. If both of the pipes are opened at the same 
    time, how long does it take them to fillup the pool with water ?

14. A man grows the trees in his 100 feet front yard. If he starts to plant 
    the trees every 10 feet apart, how many trees did he plant in his front 
    yard ?

15. If 4 gleeps are worth 3 glops and 2 glops are worth 5 glips, how many glips
    are worth the same as 10 gleeps ?

16. If (x+2y)/(x-y) = 3/4, find x/y.

17. It takes 3 days for 4 people to paint 5 houses. How long will it take 2 
    people to paint 6 houses ?

18. If x and y are inversely proportional and x=10 when  y=6, what is x when 
    y=4 ?

19. The ratio of wins and losses of the Yankees is 15:16. If the Yankees 
    lost 64 games, how many games did they play ?

20. If x/3z=3 and y/4z=2. Find 2y/x.

21. Write 2/5 as a percent.

22. 75 is 20% of what number ?

23. Suppose you borrow $4000 at 5% annual interest. How much money will 
    you owe after 4 years ?

24. If the price of a ring is increased 40% and the resulting price is
    increased by 50%. The final price is #360. What was the original price ?

25. What percent of 20 is 13 ?


26. Given x/y=2/3, y/z=3/2, find x/z.

27. If the ratio of (2x-y) to (x+y) is 2:3, find the ratio x:y.

28. The discount on a stereo system is $69, and the rate of discount 
    is 15%. What was the original price ?

29. If p is 50% of q, and r is 40% of q. What percent of r is p ?

30. It is given that x varies directly as y and inversely as the square of z, 
    and that x=10 whaen y=4 and z=14. What is x when y=16 and z=7 ?