# Linear Equation Word Problems

Home | Online Math Tutoring | 7th Grade Math Tutoring | Linear Equation Word Problems

Step 2: There should be one such quantity which you need to find. Represent that quantity in terms of a variable.

Step 3: Relate all other unknown quantities in terms of the variable assumed in step 2.

Step 4: Form an equation according to the information in question.

Step 5: Solve the equations to find the value of variables.

Example: The sum of three consecutive even numbers is 78. What is the smallest of these numbers?

Let us assume that the three consecutive even numbers are x, x + 2, and x + 4.

x + x + 2 + x + 4 = 78

3x + 6 = 78

3x = 72 implies x = 24

Check your answer: x + (x + 2) + (x + 4) = 24 + (24 + 2) + (24 + 4) = 24 + 26 + 28 = 78

Example: If the difference between two numbers is 38, and the ratio of two numbers is 6:5. Find the numbers.

Let the numbers be x and y.

Then xy = 38 … Equation (1)

x : y = 6 : 5 … Equation (2)

From equation (1), x = 38 + y

Equation (2) implies =>  5x = 6y

Put x = 38 + y in 5x = 6y Þ 5(38 + y) = 6y

228 + 5y = 6y implies y = 228

x = 38 + 228 = 266

The numbers are 228 and 266.

#### Check Point

1. Denise bought a magazine for $2 and some notepads for$3 each. She spent a total of $11. How many notepads did she buy? 2. For a field trip 28 students rode in cars and the rest filled six buses. How many students were in each bus if 232 students were on the trip? 3. Joe’s bikes rents bikes for$15 plus $8 per hour. Julia paid$47 to rent a bike. For how many hours did she rent the bike?
4. Shelly had $24 to spend on five pencils. After buying them, she is left with$14. How much did each pencil cost?
5. Ted sold half of his comic books and then bought 15 more. He now has 45. With how many did he begin?
1. 3
2. 34
3. 4
4. \$2
5. 60

+1-269-763-4602

+1-269-763-5024

Research has proven that personal online tutoring not just cements school learning, it helps build student confidence. eTutorWorld provides the best K-12 Online Tutoring Services so you can learn from the comfort and safety of your home at an affordable cost.

Be it an exam, class test or a quiz, eTutorWorld’s Math, Science and English tutors are responsible for your academic progress. Meet your personal coach at your convenient day and time to get help for Grade 3-12 Math, Science and English subjects and AP, SAT, SSAT and SCAT Test Prep help and test practice. All our tutors are graduates and bring with them years of teaching experience to the tutoring lessons.

Our ‘Learning by Design’ methodology makes sure that each student is at the center of the teaching-learning process. All tutoring sessions start with a question to the student ‘What do you want to learn today?’ Hence, tutors diagnose your skills and recognize your requirements before the actual tutoring happens. Post every tutoring session, an individualized worksheet is emailed to the student to assimilate learned concepts. Regular formative assessments are used to evaluate a student’s understanding of the subject.

The state of the art technology used is stable, user friendly and safe. All you need is a computer or a tablet and an internet connection. The easy-to-use web conferencing software requires a one time download, using which the student can talk and chat to the tutor, annotate on an interactive shared whiteboard or even share documents, assignments or worksheets.

All tutoring sessions are recorded and made available for a month so you can review concepts taught.

Email or call our support team with any issues or questions – we are here for you 24X7.

Also, download free printable math and science worksheets in pdf format and solve SCAT and SSAT Practice Tests online. Sign up for a Free Trial Lesson Today!

Thousands have taken the eTutorWorld Advantage – what are you waiting for?