1. Systems Word Problem Tango 1 5913 2 61014 3 71115 4 8121617 18 1920

2.  Thomas made a bird feeder as a living environment project. He noticed that three times as many pigeons as crows visited a bird feeder. If a total of 20 pigeons and crows visited the feeder yesterday, then how many pigeons and crows came to the feeder? PROBLEM 1 Solution Page

3.  5 crows & 15 piegons SOLUTION TO PROBLEM 1 Back to the Main Page

4.  Adam has a collection of nickels and dimes. He has 561 coins in all. His number of nickels is twice the number of dimes. How many nickels and how many dimes does Adam have?  How much money does Adam have? PROBLEM 2 Solution Page

5.  187 dimes  375 nickels  Adam has $37.40 SOLUTION TO PROBLEM 2 Back to the Main Page

6.  The total number of horses and people at the horse riding academy for the Sunday competition was 42. The total number of legs at the academy that day was 140. How many people and how many horses were at the riding academy that Sunday? PROBLEM 3 Solution Page

7.  28 horses  14 people SOLUTION TO PROBLEM 3 Back to the Main Page

8.  The ninth graders at a high school are raising money by selling T-shirts and baseball hats. The number of T-shirts sold was three times the number of hats. The profit they received for each T-shirt sold was $5.00, and the profit on each cap was $2.50. If the students made a total profit of $210, how many T-shirts and how many hats were sold? PROBLEM 4 Solution Page

9.  12 hats  36 t-shirts SOLUTION TO PROBLEM 4 Back to the Main Page

10.  A total of 62 sheep and cats are on a farm. If the number of cats that Farmer Joe has is four more than five times the number of sheep, then how many of each animal are on the farm? PROBLEM 5 Solution Page

11.  7 sheep  55 cats SOLUTION TO PROBLEM 5 Back to the Main Page

12.  Two shirts cost $65. The difference in their cost is $7. How much was each shirt. PROBLEM 6 Solution Page

13.  One shirt costs $36  The other shirt costs $29 SOLUTION TO PROBLEM 6 Back to the Main Page

14.  The tickets for the school play cost $5.00 for adults and $2.00 for children. If the total number of tickets sold was 295 and the total amount collected was $1,220, how many adult tickets and children tickets were sold? PROBLEM 7 Solution Page

15.  210 Adult tickets were sold  85 Child tickets were sold SOLUTION TO PROBLEM 7 Back to the Main Page

16.  Using only 32-cent and 20-cent stamps, Charlie put $3.36 postage on a package he sent to his sister. He used twice as many 32-cent stamps as 20-cent stamps. Determine how many of each type of stamp he used. PROBLEM 8 Solution Page

17.  8 32-cent stamps  4 20-cent stamps SOLUTION TO PROBLEM 8 Back to the Main Page

18.  In an election between two candidates, 610 votes were cast. If the winner received 330 more votes than the loser, how many votes did the winner receive? PROBLEM 9 Solution Page

19.  The winner received 470 votes  The loser received 140 votes SOLUTION TO PROBLEM 9 Back to the Main Page

20.  A cellular telephone company has two plans. Plan A charges $9 a month and $0.21 per minute. Plan B charges $20 a month and $0.10 per minute. At how much time, to the nearest minute, will the cost of plan A equal to the cost of plan B? PROBLEM 10 Solution Page

21.  At about 100 minutes the cost will be the same for each phone plan SOLUTION TO PROBLEM 10 Back to the Main Page

22.  Tickets to a local movie were sold at $6.00 for adults and $4.50 for students. If 240 tickets were sold for a total of $1275.00, then how many more adult tickets than student tickets were sold? PROBLEM 11 Solution Page

23.  110 student tickets  130 adult tickets  20 more adult tickets were sold SOLUTION TO PROBLEM 11 Back to the Main Page

24.  A landscaping company placed two orders with a nursery. The first order was for 13 bushes and 4 trees, and totaled $487. The second order was for 6 bushes and 2 trees, and totaled $232. The bills do not list the per-item price. What were the costs of one bush and of one tree? PROBLEM 12 Solution Page

25.  Each bush costs $23  Each tree costs $47 SOLUTION TO PROBLEM 12 Back to the Main Page

26.  Pam is playing with red and black marbles. The number of red marbles she has is three more than twice the number of black marbles she has. She has 42 marbles in all. How many red marbles does Pam have? PROBLEM 13 Solution Page

27.  Pam has 13 black marbles and 29 red marbles SOLUTION TO PROBLEM 13 Back to the Main Page

28.  Traveling downstream a certain boat went 26 km/h. Traveling upstream it only went 2 km/h. What is the speed of the current? How fast would the boat go if there were no current? PROBLEM 14 Solution Page

29.  The river flowed at 12 km/h  The boat went 14 km/h SOLUTION TO PROBLEM 14 Back to the Main Page

30.  A catering company is setting up tables for a big event that will host 764 people. When they set up the tables they need 2 forks for each child and 5 forks for each adult. If the company ordered a total of 2992 forks, how many more adults than children will be attending the event? PROBLEM 15 Solution Page

31.  488 adults will be attending the event  276 children will be attending the event  212 more adults than children will be attending the event SOLUTION TO PROBLEM 15 Back to the Main Page

32.  Ben has four more than twice as many CDs as Jake. If they have a total of 31 CDs, how many CDs does Jake have? PROBLEM 16 Solution Page

33.  Ben has 22 CDs  Jake has 9 CDs SOLUTION TO PROBLEM 16 Back to the Main Page

34.  Juan has a cellular phone that costs $12.95 per month plus 25¢ per minute for each call. Tiffany has a cellular phone that costs $14.95 per month plus 15¢ per minute for each call. For what number of minutes do the two plans cost the same? PROBLEM 17 Solution Page

35.  At 20 minutes the phone planes cost the same. SOLUTION TO PROBLEM 17 Back to the Main Page

36.  A store sells two different types of coffee beans; the more expensive one sells for $8 per pound, and the cheaper one sells for $4 per pound. The beans are mixed to provide a mixture of 50 pounds that sells for $6.40 per pound. How much of each type of coffee bean should be used to create 50 pounds of the mixture? PROBLEM 18 Solution Page

37.  30 pounds of the $8 per pound coffee  20 pounds of the $4 per pound coffee SOLUTION TO PROBLEM 18 Back to the Main Page

38.  Niki has 8 coins worth $1.40. Some of the coins are nickels and some are quarters. How many of each coin does Niki have? PROBLEM 19 Solution Page

39.  Niki has 5 quarters and 3 nickels. SOLUTION TO PROBLEM 19 Back to the Main Page

40.  Altogether 568 tickets were sold to a play. An adult ticket costs $5. A child’s ticket costs $2. Ticket sales were $2345. The theater manager expects to sell the same number of tickets to the next play, but wants to increase the ticket sales to $3554 by increasing the price of the adult tickets. Find the new price of an adult ticket. PROBLEM 20 Solution Page

41.  Original: The number of adult tickets sold was 403 and child tickets sold was 165  The manager must make the new price for the adult tickets $8 to make $3554 during the next play. SOLUTION TO PROBLEM 20 Back to the Main Page