number of pencils in each box problem

Sergio had 8 colored pencils. He bought 3 more boxes of colored pencils. Sergio now has 35 colored pencils. If each box had the same number of pencil, how many pencils were in each box?


Solution



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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