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Question

Aditya has a certain number of pencils that cost Rs 3 per piece. The total cost of a number of pencils, which is 10 greater than 4 times the number of pencils which Aditya has is Rs 162. Frame the equation and find the number of pencils. [4 MARKS]

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Solution

Visualizing the situation : 2 Marks
Steps : 1 Mark
Result : 1 Mark

Let Aditya have x pencils

Now 4 times the number of pencils which aditya has is 4×x=4x

10 greater than 4x=4x+10

Now, each pencil costs Rs 3.

Cost of 4x+10 pencils is

=3×(4x+10)3(4x+10)

Now, given that the total cost is Rs 162, we get

3(4x+10)=162

12x+30=162

12x=132

x=13212=11

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