Using algebraic equations:
Cost of 6 pen = Rs 72
Cost of 5 pencils = Rs 30.
Total cost = 30 + 72 = Rs 102.
Let the x be used to represent cost of pencil. Therefore, we would represent the situation using algebraic expressions as shown below:
Cost of pencil = x
Cost of pen = 2x
Cost of 5 pen = 5 × 2x = 10x
Cost of 6 pencils = 6 × x = 6x
We are given that the total cost of 5 pens and 6 pencils is Rs 96, therefore, the following algebraic equation would be written to find the value of x:
10x + 6x = 96
16x = 96
x = 6.
Cost of 6 pen = 6 × 2x = 6 × 2(6)
Cost of 6 pen = Rs 72
Cost of 5 pencils = 5(x) = 5(6)
Cost of 5 pencils = Rs 30.
Total cost = 30 + 72 = Rs 102.
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