The cost of 1 rubber and 7 sharpeners are 61 rupees, while that of 3 rubbers and 1 sharpener are 23 rupees. What is the price of a sharpener?
The cost of 1 rubber and 7 sharpeners are 61 rupees, while that of 3 rubbers and 1 sharpener are 23 rupees. What is the price of a sharpener?
Explanation
Let's denote:
r = price of 1 rubber
s = price of 1 sharpener
Given:
r + 7s = 61 ... (1)
3r + s = 23 ... (2)
Multiplying (1) by 3:
3r + 21s = 183
Subtracting (2) from this:
20s = 160
s = 8