Solving algebraic word problems, Mathematics

Assignment Help:

Solving Algebraic Word Problems:

What are the capacities of two water storage tanks in a nuclear facility if one holds 9 gallons less than three times another, and their whole capacity is 63 gallons?

Solution:

Step 1. Let x = Capacity of the Smaller Tank

Step 2. Then, 3x - 9 = Capacity of the Larger Tank

Step 3. Total Capacity = Capacity of the Smaller Tank + Capacity of the Larger Tank

63 = x + (3x - 9)

Step 4. Solving for x:

x + (3x - 9)      = 63

4x - 9 = 63

4x = 63 + 9

4x = 72

x = 18

Solving for the other unknown:

3x - 9  = 3(18) - 9

3x - 9  = 54 - 9

3x - 9  = 45

Answer:         

Capacity of the Smaller Tank = 18 gallons

Capacity of the Larger Tank = 45 gallons

Step 5. The larger tank holds 9 gallons less than three times the smaller tank.

3(18) - 9 = 54 - 9 = 45

The total capacity of the two tanks is 63 gallons.

18 + 45 = 63

Therefore, the answers check. 


Related Discussions:- Solving algebraic word problems

What is the connecticut sales tax on this item, Connecticut state sales tax...

Connecticut state sales tax is 6%. Lucy purchases a picture frame in which costs $10.50 What is the Connecticut sales tax on this item? Find out 6% of $10.50 by multiplying $10

Example of making connections of a child with maths, After a lot of effort,...

After a lot of effort, 8-year-old Hari worked out 2 x 88 = 176. When asked to say what 2 x 89 was, after a lot of hard work, he produced the answer 178. How would you help him to r

Statewide mortality rates, Assume that between workers exposed to asbestos ...

Assume that between workers exposed to asbestos in a shipyard in 1980, 33 died over a 10 year period from COPD, whereas only 24 such deaths would be expected based on statewide mor

Optimization, Optimization : In this section we will learn optimization p...

Optimization : In this section we will learn optimization problems.  In optimization problems we will see for the largest value or the smallest value which a function can take.

Curve tracing, Trace the curve (x/a)^3/2+(y/b)^2/3=1

Trace the curve (x/a)^3/2+(y/b)^2/3=1

Illustration of integration by parts - integration technique, Example of In...

Example of Integration by Parts - Integration techniques Some problems could need us to do integration by parts many times and there is a short hand technique that will permit

Common graphs, Common Graphs : In this section we introduce common graph o...

Common Graphs : In this section we introduce common graph of many of the basic functions. They all are given below as a form of example Example   Graph y = - 2/5 x + 3 .

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd