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 pencils, 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