21 pencils and 29 pens cost Rs. 79. But, if the number of pencils and pens were interchanged, the cost would have reduced by Rs. 8. Find the cost of each pen.

Question

21 pencils and 29 pens cost Rs. 79. But, if the number of pencils and pens were interchanged, the cost would have reduced by Rs. 8. Find the cost of each pen.
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Solution 1

Let's denote the cost of a pencil as 'p' and the cost of a pen as 'q'.

From the first statement, we can form the equation: 21p + 29q = 79

From the second statement, we can form the equation: 29p + 21q = 79 - 8 = 71

Now we have a system of two equations, and we can solve it step by step.

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Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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