Example 1 - Chapter 2 Class 9 - Introduction to Linear Polynomials (Ganita Manjari

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Example 1 Raju went to a shop where there were sealed boxes of different colours on sale. The shop owner told him that the red boxes have 4 pens each and the blue boxes have 5 pencils each. Now, if Raju bought x red boxes and y blue boxes, how can he quickly figure out the total quantity of pens and pencils? Also, if he got 3 extra pens free, how many pens and pencils did he get altogether? Given Number of red boxes = x Number of blue boxes = y Now, Total quantity of pens and pencils = Total quantity of pens + Total quantity of pencils = Number of boxes of pens × Pens in 1 box + Number of boxes of pencils × Pencils in 1 box = x × 4 + y × 5 = 4x + 5y We are asked that if he got 3 extra pens free, how many pens and pencils did he get altogether Thus, we add 3 to the previous total quantity New Total Quantity = 4x + 5y + 3 Here, Terms are 4x, 5y and 3 Variables are x & y 4 & 5 are coefficients of x & y respectively Constant is 3