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

Write down those features of such interactions, After seeing some children ...

After seeing some children interacting naturally, write down those features of such interactions that make peer learning potentially a better way of learning. Another point that

Cartesian graph of density of water - temperature, Cartesian Graph of Densi...

Cartesian Graph of Density of Water - Temperature: Example:  The  density  of  water  was  measured  over  a  range  of  temperatures.   Plot the subsequent recorded data on

Operation of fraction, what are the formula in the operation of fraction an...

what are the formula in the operation of fraction and how will i apply the operation of fraction on word problems

Calculus, Determine the linear approximation for f(x)= sin delta at delta =...

Determine the linear approximation for f(x)= sin delta at delta =0

Calculus, I need help fast with my calculus work

I need help fast with my calculus work

Triangle and its properties, in a triangle angle a is 70 and angle b is 50 ...

in a triangle angle a is 70 and angle b is 50 what is angle c.

What is identities and contradictions, What is Identities and Contradiction...

What is Identities and Contradictions ? Look at this equation: x + 1 = 1 + x It happens to be true always, no matter what the value of x. (Try it out! What if x is 43?)

Retail price index, Retail price index This is weighted average of pri...

Retail price index This is weighted average of price relatives based on an average household in the base year. The items consumed are divided into groups as liker food, transp

Home work, can you hepl me with my home i dont understand it!!!

can you hepl me with my home i dont understand it!!!

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