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If price of 12 apples and 8 bananas is 128 Rs, and price of 11 apples and 17 bananas is 156 Rs. Find the price of 2 apples and 3 bananas.
- a)20 Rs
- b)24 Rs
- c)28 Rs
- d)18 Rs
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
If price of 12 apples and 8 bananas is 128 Rs, and price of 11 apples ...
12A + 8B = 128…………. (1)
11A + 17B= 156…………… (2)
Multiplying equation (1) with 11 and equation (2) with 12 and then solving we get,
A = 8, and B = 4
Price of 2 apples and 3 bananas –
2A + 3B = 28 Rs
11A + 17B= 156…………… (2)
Multiplying equation (1) with 11 and equation (2) with 12 and then solving we get,
A = 8, and B = 4
Price of 2 apples and 3 bananas –
2A + 3B = 28 Rs
Most Upvoted Answer
If price of 12 apples and 8 bananas is 128 Rs, and price of 11 apples ...
Let's assume the price of an apple is A Rs and the price of a banana is B Rs.
Given that the price of 12 apples and 8 bananas is 128 Rs, we can write the equation as:
12A + 8B = 128
Similarly, the price of 11 apples and 17 bananas is 156 Rs, so we can write the second equation as:
11A + 17B = 156
Now, we need to solve these two equations to find the values of A and B.
Solving the equations:
To eliminate one variable, we can multiply the first equation by 11 and the second equation by 12:
(12A + 8B) * 11 = 128 * 11
(11A + 17B) * 12 = 156 * 12
Expanding and simplifying:
132A + 88B = 1408
132A + 204B = 1872
Now, subtracting the first equation from the second equation:
(132A + 204B) - (132A + 88B) = 1872 - 1408
116B = 464
B = 464 / 116
B = 4
Substituting the value of B back into the first equation:
12A + 8 * 4 = 128
12A + 32 = 128
12A = 128 - 32
12A = 96
A = 96 / 12
A = 8
So, the price of an apple is 8 Rs and the price of a banana is 4 Rs.
Now, we need to find the price of 2 apples and 3 bananas:
2 * 8 + 3 * 4 = 16 + 12 = 28
Therefore, the price of 2 apples and 3 bananas is 28 Rs, which corresponds to option C.
Given that the price of 12 apples and 8 bananas is 128 Rs, we can write the equation as:
12A + 8B = 128
Similarly, the price of 11 apples and 17 bananas is 156 Rs, so we can write the second equation as:
11A + 17B = 156
Now, we need to solve these two equations to find the values of A and B.
Solving the equations:
To eliminate one variable, we can multiply the first equation by 11 and the second equation by 12:
(12A + 8B) * 11 = 128 * 11
(11A + 17B) * 12 = 156 * 12
Expanding and simplifying:
132A + 88B = 1408
132A + 204B = 1872
Now, subtracting the first equation from the second equation:
(132A + 204B) - (132A + 88B) = 1872 - 1408
116B = 464
B = 464 / 116
B = 4
Substituting the value of B back into the first equation:
12A + 8 * 4 = 128
12A + 32 = 128
12A = 128 - 32
12A = 96
A = 96 / 12
A = 8
So, the price of an apple is 8 Rs and the price of a banana is 4 Rs.
Now, we need to find the price of 2 apples and 3 bananas:
2 * 8 + 3 * 4 = 16 + 12 = 28
Therefore, the price of 2 apples and 3 bananas is 28 Rs, which corresponds to option C.
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If price of 12 apples and 8 bananas is 128 Rs, and price of 11 apples and 17 bananas is 156 Rs. Find the price of 2 apples and 3 bananas.a)20 Rsb)24 Rsc)28 Rsd)18 RsCorrect answer is option 'C'. Can you explain this answer?
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If price of 12 apples and 8 bananas is 128 Rs, and price of 11 apples and 17 bananas is 156 Rs. Find the price of 2 apples and 3 bananas.a)20 Rsb)24 Rsc)28 Rsd)18 RsCorrect answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about If price of 12 apples and 8 bananas is 128 Rs, and price of 11 apples and 17 bananas is 156 Rs. Find the price of 2 apples and 3 bananas.a)20 Rsb)24 Rsc)28 Rsd)18 RsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If price of 12 apples and 8 bananas is 128 Rs, and price of 11 apples and 17 bananas is 156 Rs. Find the price of 2 apples and 3 bananas.a)20 Rsb)24 Rsc)28 Rsd)18 RsCorrect answer is option 'C'. Can you explain this answer?.
If price of 12 apples and 8 bananas is 128 Rs, and price of 11 apples and 17 bananas is 156 Rs. Find the price of 2 apples and 3 bananas.a)20 Rsb)24 Rsc)28 Rsd)18 RsCorrect answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about If price of 12 apples and 8 bananas is 128 Rs, and price of 11 apples and 17 bananas is 156 Rs. Find the price of 2 apples and 3 bananas.a)20 Rsb)24 Rsc)28 Rsd)18 RsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If price of 12 apples and 8 bananas is 128 Rs, and price of 11 apples and 17 bananas is 156 Rs. Find the price of 2 apples and 3 bananas.a)20 Rsb)24 Rsc)28 Rsd)18 RsCorrect answer is option 'C'. Can you explain this answer?.
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