Question
Mohit and Sudesh bought pens and notebooks from the same
shop. Mohit bought 3 pens and 6 notebooks by paying an amount of ₹180. Sudesh bought 5 pens and 2 notebooks by paying an amount of ₹116. How much did Mohit spend on buying notebooks?Solution
Let price of one pen = x Let price of one notebook = y Mohit bought 3 pens and 6 notebooks by paying an amount of ₹180. 3x + 6y = 180 3x = 180 – 6y x = (180 – 6y) ÷ 3 x = 60 – 2y --------- (i) Sudesh bought 5 pens and 2 notebooks by paying an amount of ₹116. 5x + 2y = 116 Putting the value of x from equation (i) 5(60 – 2y) + 2y = 116 300 – 10 y + 2y = 116 300 – 8y = 116 300 – 116 = 8y 184 = 8y y = 23 Mohit spend on buying notebooks = 6y = 6 x 23 = 138.
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