the total cost of 5 pen and 7 notebook is 225 rupee the total cost of 8 pen and 7 notebook of the same type is 255 .find the cost of pen and note book
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Cost of each pen is ₹ 3
Cost of each notebook ₹30
Step-by-step explanation:
Let the cost of pen be ₹ x
Let the cost of notebook be ₹y
Case 1
5x+7y = 225 - eq 1
Case 2
8x+7y = 255 - eq 2
Solving by elimination
7y and 7y gets cancelled being same signs and Therefore we will change the signs of lower terms and add
-3x = 0
X = 3 ( therefore cost of each pen is ₹3)
Substitute in eq 1
5x+7y = 225
5(3)+7y = 225
15 + 7y = 225
7y = 210
Y = 30 ( Therefore cost of each notebook is ₹30)
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