Systems Word Problem Tango

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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

5 crows & 15 piegons

SOLUTION TO PROBLEM 1

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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

187 dimes375 nickelsAdam has $37.40

SOLUTION TO PROBLEM 2

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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

28 horses14 people

SOLUTION TO PROBLEM 3

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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 profi t they received for each T-shirt sold was $5.00, and the profi t on each cap was $2.50. If the students made a total profi t of $210, how many T-shirts and how many hats were sold?

PROBLEM 4

Solution Page

12 hats36 t-shirts

SOLUTION TO PROBLEM 4

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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

7 sheep55 cats

SOLUTION TO PROBLEM 5

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Two shirts cost $65. The diff erence in their cost is $7. How much was each shirt.

PROBLEM 6

Solution Page

One shirt costs $36The other shirt costs $29

SOLUTION TO PROBLEM 6

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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

210 Adult tickets were sold85 Child tickets were sold

SOLUTION TO PROBLEM 7

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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

8 32-cent stamps4 20-cent stamps

SOLUTION TO PROBLEM 8

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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

The winner received 470 votesThe loser received 140 votes

SOLUTION TO PROBLEM 9

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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

At about 100 minutes the cost will be the same for each phone plan

SOLUTION TO PROBLEM 10

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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

110 student tickets130 adult tickets

20 more adult tickets were sold

SOLUTION TO PROBLEM 11

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A landscaping company placed two orders with a nursery. The fi rst 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

Each bush costs $23Each tree costs $47

SOLUTION TO PROBLEM 12

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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

Pam has 13 black marbles and 29 red marbles

SOLUTION TO PROBLEM 13

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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

The river flowed at 12 km/hThe boat went 14 km/h

SOLUTION TO PROBLEM 14

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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

488 adults will be attending the event276 children will be attending the event

212 more adults than children will be attending the event

SOLUTION TO PROBLEM 15

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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

Ben has 22 CDs Jake has 9 CDs

SOLUTION TO PROBLEM 16

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Juan has a cellular phone that costs $12.95 per month plus 25¢ per minute for each call. Tiff any 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

At 20 minutes the phone planes cost the same.

SOLUTION TO PROBLEM 17

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A store sells two diff erent types of coff ee 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 coff ee bean should be used to create 50 pounds of the mixture?

PROBLEM 18

Solution Page

30 pounds of the $8 per pound coff ee20 pounds of the $4 per pound coff ee

SOLUTION TO PROBLEM 18

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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

Niki has 5 quarters and 3 nickels.

SOLUTION TO PROBLEM 19

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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

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

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