The cost of 2 pencil, 4 pens and 8 erasers is Rs. 12 and the cost of 8 pens, 10 pencils and 4 erasers is Rs. 36. How much will 3 pencils, 3 pens and 3 erasers cost?
Rs. 12
Let the cost of a pencil = x, a pen = y and an eraser = z (in Rs.).
2x + 4y + 8z = 12 ...(1)
10x + 8y + 4z = 36 ...(2)
Adding (1) and (2):
12x + 12y + 12z = 48
x + y + z = 4
Cost of 3 pencils, 3 pens and 3 erasers = 3(x + y + z)
= 3 × 4
= Rs. 12
Check: the two equations together contain 12 of each item costing Rs. 48, so one set costs Rs. 4 and three sets cost Rs. 12.
Hence, Rs. 12.
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A. 10x + 12
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