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

Click here to post comments

Join in and write your own page! It's easy to do. How? Simply click here to return to Basic math word problem.





New math lessons

Your email is safe with us. We will only use it to inform you about new math lessons.

Follow me on Pinterest


Page copy protected against web site content infringement by Copyscape

Recent Articles

  1. Number Game

    Dec 01, 16 06:27 AM

    1. Think of any positive whole number. No fractions, no decimals,no percents. 2. Double that number. 3. Add 10 to that result in step 2. 4. Divide

    Read More