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
May 21, 18 09:24 AM
Explore exponential and logarithmic functions with these easy to follow math lessons
New math lessons
Your email is safe with us. We will only use it to inform you about new math lessons.
May 21, 18 09:24 AM
Explore exponential and logarithmic functions with these easy to follow math lessons
Our Top Pages
Formula for percentage
Compatible numbers
Basic math test
Basic math formulas
Types of angles
Math problem solver
Algebra word problems
Surface area of a cube
Finding the average
Scale drawings
Everything you need to prepare for an important exam!
K-12 tests, GED math test, basic math tests, geometry tests, algebra tests.
Real Life Math Skills
Learn about investing money, budgeting your money, paying taxes, mortgage loans, and even the math involved in playing baseball.