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Solved Examples
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ee  A circus company sold 42 tickets on a particular day. The entry fee is $7 for an adult and $3 for a child. The total amount collected was $182. How many adults and children went to the circus on that day?  ee View Solution
ee  An Opera house collected $8,880 by selling tickets. The people sitting in the row A are charged $15 and the people sitting in row B are charged $11. The total number of tickets sold is 680. Find the number of people sitting in row A and row B.
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ee  Charlie and Dennis went to a shopping mall. Charlie bought 3 jeans and 6 T-shirts by paying $186. Dennis paid $239 for buying 6 jeans and 5 T-shirts. Find the cost of each jeans and T-shirt.  ee View Solution
ee  A mechanical plant hires 526 labors on a daily wage scheme paying $4,044. Men are paid $9 and women are paid $6. Find the number of men and women hired.
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ee  A shopkeeper sold 24 softballs and basketballs for a sum of $240. The price of a softball is $8 and that of a basketball is $20. How many softballs and basketballs did the shopkeeper sell?  ee View Solution
ee  Gary purchased 26 pens and markers for $110. The price of a marker is $7 and the price of a pen is $4. How many pens and markers did Gary buy?  ee View Solution
ee  The price of each marble is $4 and the price of each dice is $2. A total of 61 marbles and dice were purchased for $210. Find the number of marbles and the number of dice purchased.  ee View Solution
ee  Rose purchased a total of 17 books and toys for the Rupert play school. Each book costs $11 and each toy costs $6. How many books and toys did she buy for $157?  ee View Solution
ee  Lindsay earns $7 per hour doing a part time job while George earns $13. If they work a total of 9 hours, how many hours does each of them work, if they earn a total of $99?
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ee  Mr.Charlie rents a floral arch for 15 hours and a barbeque grill for 3 hours by paying $261 for his house warming function. He rents the floral arch for 7 hours and the barbeque grill for 3 hours by paying $141 for another function. Find the hourly rates of floral arch and barbeque grill.  ee View Solution
ee  Which of the following equations would you use to isolate the variable?
4x + 7y = 1    [Equation 1]
x - 3y = - 2   [Equation 2]
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ee  Which of the following equations would you use to isolate the variable?
- 2x + y = -28   [Equation 1]
5x + 4y = 38    [Equation 2]  ee
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ee  Which of the following ordered pairs satisfies the linear system?
5x - 4y = -20   [Equation 1]
- x + 3y = -7 [Equation 2]
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ee  Which of the following ordered pairs satisfies the linear system?
- x + y = 4      [Equation 1]
3x - 2y = 7   [Equation 2]  ee
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ee  Which of the following ordered pairs satisfies the linear system?
- p + q = 8      [Equation 1]
2p + 5q = 26   [Equation 2]
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ee  Solve the linear system.
4x + 5y = 23
7x - 5y = -1  ee
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ee  Solve the linear system.
- x + y = - 20
17x - y = 68  ee
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ee  Solve the linear system.
2x + y = 2
- 3x - 5y = 18  ee
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ee  Solve the linear system.
5x - 6y = -10 --- (1)
- 6x + 7y = 11 --- (2)  ee
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ee  Choose the easiest method to solve the linear system.
5x + y = 6
- 6x - 4y = 4
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ee  Choose the easiest method to solve the linear system.
3x + 4y = 5
2x - 5y = 11  ee
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ee  Choose the easiest method to solve the linear system.
5x + 2y = 16
x - 4y = - 10  ee
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ee  Choose the best method to solve the linear system.
- 8x + 3y = 5
11x - 5y = - 16
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ee  Katie purchased a total of 39 books and toys for the Eureka play school. Each book costs $17 and each toy costs $9. How many books and toys did she buy for $527?  ee View Solution
ee  Jim bought two types of movie tickets at $4 and $5 for 8 of his friends. Total cost of the tickets is $37. Let x be the number of $4 tickets and y be the number of $5 tickets. Which system of linear equations represents the situation?
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ee  The cost of an apple is $1 and that of an orange is $0.4. Gary purchased 18 fruits for $15. If A represents the number of apples and O the number of oranges, which system of linear equations represents the situation?  ee View Solution
ee  A shopkeeper sold 36 softballs and basketballs for a sum of $396. The price of a softball is $9 and that of a basketball is $27. How many softballs and basketballs did the shopkeeper sell?  ee View Solution
ee  Nathan purchased 28 pens and markers for $88. The price of a marker is $5 and the price of a pen is $3. How many pens and markers did Nathan buy?  ee View Solution
ee  Lindsay earns $7 per hour doing a part time job while William earns $13. If they work a total of 13 hours, how many hours does each of them work, if they earn a total of $139?
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ee  Mr.Victor rents a floral arch for 16 hours and a barbeque grill for 4 hours by paying $144 for his house warming function. He rents the floral arch for 5 hours and the barbeque grill for 2 hours by paying $48 for another function. Find the hourly rates of floral arch and barbeque grill.  ee View Solution
ee  Which of the following equations would you use to isolate the variable?
10x + 13y = 1    [Equation 1]
x - 9y = - 8   [Equation 2]
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ee  Which of the following equations would you use to isolate the variable?
- 5x + y = 12   [Equation 1]
2x + 5y = 51    [Equation 2]  ee
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ee  Which of the following ordered pairs satisfies the linear system?
2x - 2y = -2   [Equation 1]
- x + 4y = -8 [Equation 2]
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ee  Which of the following ordered pairs satisfies the linear system?
- x + y = 6      [Equation 1]
4x - 3y = -9   [Equation 2]  ee
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ee  Which of the following ordered pairs satisfies the linear system?
- p + q = 7      [Equation 1]
4p + 7q = 5   [Equation 2]
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ee  Solve the linear system.
3x + 4y = 25
5x - 4y = -1  ee
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ee  The price of each marble is $4 and the price of each dice is $2. A total of 55 marbles and dice were purchased for $174. Find the number of marbles and the number of dice purchased.  ee View Solution
ee  Solve the linear system.
- x + y = - 12
10x - y = 30  ee
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ee  Solve the linear system.
4x + y = 18
- 5x - 2y = -21  ee
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ee  Solve the linear system.
2x - 3y = -19 --- (1)
- 3x + 4y = 24 --- (2)  ee
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