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there are three boxes of pencils …

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there are three boxes of pencils which contain 148,272 and 388 pencils.these are to be packed in smaller boxes.what greater number of pencils can be packed in 1 box so that no pencils is left?
  • 1 answers

Sia ? 2 years, 5 months ago

Number of pencils Sergio had + number of pencils purchased is equal to number of pencils he has now.

Let p be the number of pencils in each box

Let 8 be the number of pencils Sergio had

Let 35 be the number of pencils Sergio has now

Number of pencils purchased = 3 × p

Number of pencils purchased = 3p

Number of pencils Sergio had + number of pencils purchased is equal to number of pencils he has now.

The statement above gives the following equation

8 + 3p = 35

8 - 8 + 3p = 35 - 8

0 + 3p = 35 - 8

3p = 35 - 8

3p = 27

Divide both sides by 3

3p/3 = 27/3

p = 9

There are 9 pencils in each box

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