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Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ?
- a)Rs. 4, Rs 23
- b)Rs. 13, Rs. 17
- c)Rs. 15, Rs. 14
- d)Rs. 17, Rs. 13
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Two bus tickets from city A to B and three tickets from city A to C co...
Let Rs. x be the fare of city B from city A and Rs. y be the fare of city C from city A.
Then, 2x + 3y = 77 ...(i) and
3x + 2y = 73 ...(ii)
Multiplying (i) by 3 and (ii) by 2 and subtracting, we get: 5y = 85 or y = 17.
Putting y = 17 in (i), we get: x = 13.
Then, 2x + 3y = 77 ...(i) and
3x + 2y = 73 ...(ii)
Multiplying (i) by 3 and (ii) by 2 and subtracting, we get: 5y = 85 or y = 17.
Putting y = 17 in (i), we get: x = 13.
Most Upvoted Answer
Two bus tickets from city A to B and three tickets from city A to C co...
To solve this problem, let's assume the fare from city A to B is Rs. x and the fare from city A to C is Rs. y.
From the given information, we can form the following equations:
Equation 1: 2x + 3y = 77 (Two tickets from A to B and three tickets from A to C cost Rs. 77)
Equation 2: 3x + 2y = 73 (Three tickets from A to B and two tickets from A to C cost Rs. 73)
To solve these equations, we can use the method of substitution or elimination.
Using the method of elimination, let's multiply Equation 1 by 3 and Equation 2 by 2 to eliminate the variable y:
Equation 3: 6x + 9y = 231
Equation 4: 6x + 4y = 146
Now, subtract Equation 4 from Equation 3:
(6x + 9y) - (6x + 4y) = 231 - 146
5y = 85
y = 17
Substituting the value of y into Equation 1:
2x + 3(17) = 77
2x + 51 = 77
2x = 26
x = 13
So, the fare from city A to B is Rs. 13 and the fare from city A to C is Rs. 17.
Therefore, the correct answer is option 'B' - Rs. 13 for city B and Rs. 17 for city C.
From the given information, we can form the following equations:
Equation 1: 2x + 3y = 77 (Two tickets from A to B and three tickets from A to C cost Rs. 77)
Equation 2: 3x + 2y = 73 (Three tickets from A to B and two tickets from A to C cost Rs. 73)
To solve these equations, we can use the method of substitution or elimination.
Using the method of elimination, let's multiply Equation 1 by 3 and Equation 2 by 2 to eliminate the variable y:
Equation 3: 6x + 9y = 231
Equation 4: 6x + 4y = 146
Now, subtract Equation 4 from Equation 3:
(6x + 9y) - (6x + 4y) = 231 - 146
5y = 85
y = 17
Substituting the value of y into Equation 1:
2x + 3(17) = 77
2x + 51 = 77
2x = 26
x = 13
So, the fare from city A to B is Rs. 13 and the fare from city A to C is Rs. 17.
Therefore, the correct answer is option 'B' - Rs. 13 for city B and Rs. 17 for city C.
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Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ?a)Rs.4, Rs 23b)Rs. 13, Rs. 17c)Rs. 15, Rs. 14d)Rs. 17, Rs. 13Correct answer is option 'B'. Can you explain this answer?
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Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ?a)Rs.4, Rs 23b)Rs. 13, Rs. 17c)Rs. 15, Rs. 14d)Rs. 17, Rs. 13Correct answer is option 'B'. Can you explain this answer? for Class 4 2024 is part of Class 4 preparation. The Question and answers have been prepared according to the Class 4 exam syllabus. Information about Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ?a)Rs.4, Rs 23b)Rs. 13, Rs. 17c)Rs. 15, Rs. 14d)Rs. 17, Rs. 13Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 4 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ?a)Rs.4, Rs 23b)Rs. 13, Rs. 17c)Rs. 15, Rs. 14d)Rs. 17, Rs. 13Correct answer is option 'B'. Can you explain this answer?.
Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ?a)Rs.4, Rs 23b)Rs. 13, Rs. 17c)Rs. 15, Rs. 14d)Rs. 17, Rs. 13Correct answer is option 'B'. Can you explain this answer? for Class 4 2024 is part of Class 4 preparation. The Question and answers have been prepared according to the Class 4 exam syllabus. Information about Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ?a)Rs.4, Rs 23b)Rs. 13, Rs. 17c)Rs. 15, Rs. 14d)Rs. 17, Rs. 13Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 4 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ?a)Rs.4, Rs 23b)Rs. 13, Rs. 17c)Rs. 15, Rs. 14d)Rs. 17, Rs. 13Correct answer is option 'B'. Can you explain this answer?.
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ample number of questions to practice Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ?a)Rs.4, Rs 23b)Rs. 13, Rs. 17c)Rs. 15, Rs. 14d)Rs. 17, Rs. 13Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 4 tests.
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