18 Notebooks and 32 pens together cost Rs. 642, while 32 notebooks and 18 pencils together
cost Rs. 908. Find the cost of each notebook.
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Step-by-step explanation:
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Answer:
cost of 1 notebook = rs 25
Step-by-step explanation:
let cost of 1 notebook = a
and cost of pen = b
given,
18a + 32b = 642
=> 2(9a+16b) = 642
=> 9a+16b = 642/2 = 321 ----(1)
also given,
32a + 18b = 908
=> 2(16a+9b) = 908
=> 16a+9b = 908/2 = 454 ----(2)
let's solve these equations by elimination method.
equation (1) × 16 : 144a+256b = 5136
equation (2) × 9 : 144a+81b = 4086
- - -
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=> 175b = 1050
=> b = 1050/175 = 6
putting value of b in (1),
9a+16b = 321
=> 9a + 16×6 = 321
=> 9a + 96 = 321
=> 9a = 321 - 96 = 225
=> a = 225/9 = 25
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