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A packet X contains pens, pencils and erasers in the ratio 1:2:3. Packet Y contains pens and pencils in the ratio 4:5. If the total number of pens and pencils in both the packets combined is 13 and 20 respectively. What is the number of erasers in Packet X?
- a)5
- b)10
- c)15
- d)20
- e)25
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A packet X contains pens, pencils and erasers in the ratio 1:2:3. Pack...
Let the number of pens, pencils and erasers in packet X be x, 2x, and 3x, respectively.
Likewise, we can let the number of pens and pencils in packet Y be 4y and 5y. Therefore, we have:
x + 4y = 13
and
2x + 5y = 20
Multiplying the first equation by 2 and subtracting that from the second equation, we have:
⇒ -3y = -6
⇒ y = 2
So x + 2(4) = 13 and hence x = 5.
x + 4y = 13
and
2x + 5y = 20
Multiplying the first equation by 2 and subtracting that from the second equation, we have:
⇒ -3y = -6
⇒ y = 2
So x + 2(4) = 13 and hence x = 5.
Since the number of erasers is 3x, the number of erasers is 3(5) = 15.
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A packet X contains pens, pencils and erasers in the ratio 1:2:3. Pack...
Given:
Ratio of pens, pencils and erasers in Packet X = 1:2:3
Ratio of pens and pencils in Packet Y = 4:5
Total number of pens and pencils in both packets combined = 13 and 20 respectively
To find:
Number of erasers in Packet X
Solution:
Let the common ratio of pens and pencils in Packet X be 1x and the number of erasers be 3x.
Then, the number of pens, pencils and erasers in Packet X will be x, 2x and 3x respectively.
Let the common ratio of pens and pencils in Packet Y be 4y and 5y.
Then, the number of pens and pencils in Packet Y will be 4y and 5y respectively.
Given that the total number of pens and pencils in both the packets combined is 13 and 20 respectively.
Hence, we can write the following equations:
x + 4y = 13 ...(1)
2x + 5y = 20 ...(2)
Solving equations (1) and (2), we get:
x = 3, y = 2
Therefore, the number of pens, pencils and erasers in Packet X will be 3, 6 and 9 respectively.
Hence, the number of erasers in Packet X is 9, which is option C.
Ratio of pens, pencils and erasers in Packet X = 1:2:3
Ratio of pens and pencils in Packet Y = 4:5
Total number of pens and pencils in both packets combined = 13 and 20 respectively
To find:
Number of erasers in Packet X
Solution:
Let the common ratio of pens and pencils in Packet X be 1x and the number of erasers be 3x.
Then, the number of pens, pencils and erasers in Packet X will be x, 2x and 3x respectively.
Let the common ratio of pens and pencils in Packet Y be 4y and 5y.
Then, the number of pens and pencils in Packet Y will be 4y and 5y respectively.
Given that the total number of pens and pencils in both the packets combined is 13 and 20 respectively.
Hence, we can write the following equations:
x + 4y = 13 ...(1)
2x + 5y = 20 ...(2)
Solving equations (1) and (2), we get:
x = 3, y = 2
Therefore, the number of pens, pencils and erasers in Packet X will be 3, 6 and 9 respectively.
Hence, the number of erasers in Packet X is 9, which is option C.
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A packet X contains pens, pencils and erasers in the ratio 1:2:3. Packet Y contains pens and pencils in the ratio 4:5. If the total number of pens and pencils in both the packets combined is 13 and 20 respectively. What is the number of erasers in Packet X?a)5b)10c)15d)20e)25Correct answer is option 'C'. Can you explain this answer?
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A packet X contains pens, pencils and erasers in the ratio 1:2:3. Packet Y contains pens and pencils in the ratio 4:5. If the total number of pens and pencils in both the packets combined is 13 and 20 respectively. What is the number of erasers in Packet X?a)5b)10c)15d)20e)25Correct answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A packet X contains pens, pencils and erasers in the ratio 1:2:3. Packet Y contains pens and pencils in the ratio 4:5. If the total number of pens and pencils in both the packets combined is 13 and 20 respectively. What is the number of erasers in Packet X?a)5b)10c)15d)20e)25Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A packet X contains pens, pencils and erasers in the ratio 1:2:3. Packet Y contains pens and pencils in the ratio 4:5. If the total number of pens and pencils in both the packets combined is 13 and 20 respectively. What is the number of erasers in Packet X?a)5b)10c)15d)20e)25Correct answer is option 'C'. Can you explain this answer?.
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