The cost of 1 folder, 2 notebooks and 5 pens is ₹45. The cost of 2 folders and 3 pens exceeds that of 4 notebooks by ₹17. Which of the following is sufficient to determine the cost of a pen?
Question
The cost of 1 folder, 2 notebooks and 5 pens is ₹45. The cost of 2 folders and 3 pens exceeds that of 4 notebooks by ₹17. Which of the following is sufficient to determine the cost of a pen?
Solution
The problem presents us with two equations based on the information given:
- F + 2N + 5P = 45
- 2F + 3P = 4N + 17
However, we are asked to determine if this information is sufficient to find the cost of a pen (P).
To find the cost of a pen, we need to isolate P in one of the equations. However, with the current information, we have three unknowns (F, N, P) and only two equations.
Therefore, the information given is not sufficient to determine the cost of a pen. We would need at least one more equation that relates F, N, and P to be able to solve for P.
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