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Sangeetha has socks and handkerchiefs which are together 40 in number. If she has 5 less handkerchiefs and 5 more socks, the nunber of socks becomes four times the number of handkerchiefs. Represent this situation algebraically and graphically.?
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Sangeetha has socks and handkerchiefs which are together 40 in number....
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Sangeetha has socks and handkerchiefs which are together 40 in number....
Problem:
Sangeetha has socks and handkerchiefs which are together 40 in number. If she has 5 less handkerchiefs and 5 more socks, the number of socks becomes four times the number of handkerchiefs. Represent this situation algebraically and graphically.
Solution:
1. Algebraic Representation:
Let the number of socks S and handkerchiefs H be x and y respectively.
Given,
x + y = 40 ...(1) (Total number of socks and handkerchiefs)
4(y-5) = x+5 ...(2) (Number of socks is 5 more and number of handkerchiefs is 5 less)
On solving equations (1) and (2), we get:
x = 25 and y = 15
Therefore, Sangeetha has 25 socks and 15 handkerchiefs.
2. Graphical Representation:
To graphically represent the given situation, we need to plot the equations (1) and (2) on the coordinate plane.
The equation (1) represents a straight line passing through the points (0,40) and (40,0) as shown below:
The equation (2) can be rewritten as:
x - 4y = -15
This equation represents a straight line passing through the points (-15,0) and (0,3.75) as shown below:
The point of intersection of these two lines gives us the solution to the given problem.
From the graph, we can see that the point of intersection is (25,15) which satisfies both the equations (1) and (2).
Therefore, Sangeetha has 25 socks and 15 handkerchiefs.
Conclusion:
Thus, we have represented the given situation algebraically and graphically. The solution to the problem is Sangeetha has 25 socks and 15 handkerchiefs.
Sangeetha has socks and handkerchiefs which are together 40 in number. If she has 5 less handkerchiefs and 5 more socks, the number of socks becomes four times the number of handkerchiefs. Represent this situation algebraically and graphically.
Solution:
1. Algebraic Representation:
Let the number of socks S and handkerchiefs H be x and y respectively.
Given,
x + y = 40 ...(1) (Total number of socks and handkerchiefs)
4(y-5) = x+5 ...(2) (Number of socks is 5 more and number of handkerchiefs is 5 less)
On solving equations (1) and (2), we get:
x = 25 and y = 15
Therefore, Sangeetha has 25 socks and 15 handkerchiefs.
2. Graphical Representation:
To graphically represent the given situation, we need to plot the equations (1) and (2) on the coordinate plane.
The equation (1) represents a straight line passing through the points (0,40) and (40,0) as shown below:
The equation (2) can be rewritten as:
x - 4y = -15
This equation represents a straight line passing through the points (-15,0) and (0,3.75) as shown below:
The point of intersection of these two lines gives us the solution to the given problem.
From the graph, we can see that the point of intersection is (25,15) which satisfies both the equations (1) and (2).
Therefore, Sangeetha has 25 socks and 15 handkerchiefs.
Conclusion:
Thus, we have represented the given situation algebraically and graphically. The solution to the problem is Sangeetha has 25 socks and 15 handkerchiefs.
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Sangeetha has socks and handkerchiefs which are together 40 in number. If she has 5 less handkerchiefs and 5 more socks, the nunber of socks becomes four times the number of handkerchiefs. Represent this situation algebraically and graphically.?
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Sangeetha has socks and handkerchiefs which are together 40 in number. If she has 5 less handkerchiefs and 5 more socks, the nunber of socks becomes four times the number of handkerchiefs. Represent this situation algebraically and graphically.? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Sangeetha has socks and handkerchiefs which are together 40 in number. If she has 5 less handkerchiefs and 5 more socks, the nunber of socks becomes four times the number of handkerchiefs. Represent this situation algebraically and graphically.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sangeetha has socks and handkerchiefs which are together 40 in number. If she has 5 less handkerchiefs and 5 more socks, the nunber of socks becomes four times the number of handkerchiefs. Represent this situation algebraically and graphically.?.
Sangeetha has socks and handkerchiefs which are together 40 in number. If she has 5 less handkerchiefs and 5 more socks, the nunber of socks becomes four times the number of handkerchiefs. Represent this situation algebraically and graphically.? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Sangeetha has socks and handkerchiefs which are together 40 in number. If she has 5 less handkerchiefs and 5 more socks, the nunber of socks becomes four times the number of handkerchiefs. Represent this situation algebraically and graphically.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sangeetha has socks and handkerchiefs which are together 40 in number. If she has 5 less handkerchiefs and 5 more socks, the nunber of socks becomes four times the number of handkerchiefs. Represent this situation algebraically and graphically.?.
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