Medium
A pen costs ₹5 more than a pencil. If 3 pens and 2 pencils together cost ₹65, what is the cost of one pen?
Explanation
Explanation
Step 1: Let the cost of one pencil = ₹p. Then one pen = ₹(p + 5).
Step 2: Form the equation: 3(p + 5) + 2p = 65.
Step 3: Expand: 3p + 15 + 2p = 65, so 5p = 50 and p = 10.
Step 4: Cost of a pen = 10 + 5 = ₹15.
Step 5: Check: 3 × 15 + 2 × 10 = 45 + 20 = 65 ✓.
Answer: ₹15.
PRO TIP
Re-check your working by substituting the answer back into the original question.