Question

A pen cost twice as much as much as pencil.if the cost of 5 pencil and 6 pencil is RS 96,find the cost of 6pen and 5pencils.​

Answers

  1. Using algebraic equations:
    Cost of 6 pen = Rs 72
    Cost of 5 pencils = Rs 30.
    Total cost = 30 + 72 = Rs 102.

    How to Apply Algebraic Equation?

    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.
    Learn more about algebraic equations on:
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