Capacity of a tank

A tank is two thirds full. After drawing off 100 litres of water , it is just one quarter full. what is the capacity of the tank

Solution

Let x be the capacity of the tank or the amount of water when the tank is full.

Here is how to solve this problem:

Amount of water in the tank now - 100 = amount of water left after removing 100


Since the tank is 2/3 full, the amount of water in the tank now is 2/3 times x

or 2x/3


Amount of water left after removing 100 is 1/4 times x or x/4


We them get this equation

2x/3 - 100 = x/4


2x/3 -100 + 100 = x/4 + 100


2x/3 = x/4 + 100


2x/3 - x/4 = x/4 - x/4 + 100


2x/3 - x/4 = 100


(2x × 4) / (3 × 4) - (x × 3) / (4 × 3) = 100


8x/12 - 3x/12 = 100


(8x - 3x) / 12 = 100


5x / 12 = 100


Multiply both sides by 12


(5x × 12) / 12 = 100 × 12


5x = 1200


Divide both sides by 5


5x/5 = 1200/5


x = 240

the capacity of the tank is 240 liters.


Indeed, 2/3 of 240 = (2 × 240)/ 3 = 480 / 3 = 160

160 - 100 = 60

And 60 is 1/4 of 240

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.





Recent Articles

  1. How to estimate fractions

    Dec 11, 17 08:45 AM

    Learn how to estimate fractions with this easy to follow lesson.

    Read More

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





Recent Lessons

  1. How to estimate fractions

    Dec 11, 17 08:45 AM

    Learn how to estimate fractions with this easy to follow lesson.

    Read More

  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

Tough Algebra Word Problems.

If you can solve these problems with no help, you must be a genius!


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.

 Recommended

Scientific Notation Quiz

Types of Angles Quiz

Graphing Slope Quiz

Adding and Subtracting Matrices Quiz  

Factoring Trinomials Quiz 

Solving Absolute Value Equations Quiz  

Order of Operations Quiz