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Solved Examples
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e   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?   e View Solution
e   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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e   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.   e View Solution
e   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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e   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?   e View Solution
e   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?   e View Solution
e   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.   e View Solution
e   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?   e View Solution
e   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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e   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.   e View Solution
e   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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e   Which of the following equations would you use to isolate the variable?
- 2x + y = -28   [Equation 1]
5x + 4y = 38    [Equation 2]   e
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e   Which of the following ordered pairs satisfies the linear system?
5x - 4y = -20   [Equation 1]
- x + 3y = -7 [Equation 2]
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e   Which of the following ordered pairs satisfies the linear system?
- x + y = 4      [Equation 1]
3x - 2y = 7   [Equation 2]   e
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e   Which of the following ordered pairs satisfies the linear system?
- p + q = 8      [Equation 1]
2p + 5q = 26   [Equation 2]
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e   Solve the linear system.
4x + 5y = 23
7x - 5y = -1   e
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e   Solve the linear system.
- x + y = - 20
17x - y = 68   e
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e   Solve the linear system.
2x + y = 2
- 3x - 5y = 18   e
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e   Solve the linear system.
5x - 6y = -10 --- (1)
- 6x + 7y = 11 --- (2)   e
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e   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?   e View Solution
e   Choose the easiest method to solve the linear system.
5x + y = 6
- 6x - 4y = 4
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e   Choose the easiest method to solve the linear system.
3x + 4y = 5
2x - 5y = 11   e
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e   Choose the easiest method to solve the linear system.
5x + 2y = 16
x - 4y = - 10   e
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e   Choose the best method to solve the linear system.
- 8x + 3y = 5
11x - 5y = - 16
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e   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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e   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?   e View Solution
e   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?   e View Solution
e   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?   e View Solution
e   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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e   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.   e View Solution
e   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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e   Which of the following equations would you use to isolate the variable?
- 5x + y = 12   [Equation 1]
2x + 5y = 51    [Equation 2]   e
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e   Which of the following ordered pairs satisfies the linear system?
2x - 2y = -2   [Equation 1]
- x + 4y = -8 [Equation 2]
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e   Which of the following ordered pairs satisfies the linear system?
- x + y = 6      [Equation 1]
4x - 3y = -9   [Equation 2]   e
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e   Which of the following ordered pairs satisfies the linear system?
- p + q = 7      [Equation 1]
4p + 7q = 5   [Equation 2]
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e   Solve the linear system.
3x + 4y = 25
5x - 4y = -1   e
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e   Solve the linear system.
- x + y = - 12
10x - y = 30   e
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e   Solve the linear system.
4x + y = 18
- 5x - 2y = -21   e
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e   Solve the linear system.
2x - 3y = -19 --- (1)
- 3x + 4y = 24 --- (2)   e
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e   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.   e View Solution