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

Find out function is increasing and decreasing, Find out where the followin...

Find out where the following function is increasing & decreasing. A (t ) = 27t 5 - 45t 4 -130t 3 + 150 Solution As with the first problem first we need to take the

Math, 1+3+5+7+9+11+13+15+17+19

1+3+5+7+9+11+13+15+17+19

Trigonometry, If sec A = x+i/x, prove that sec A + tan A = 2x or 1/2x

If sec A = x+i/x, prove that sec A + tan A = 2x or 1/2x

Partial Differential Equation, Consider the wave equation u_tt - u_xx = 0 w...

Consider the wave equation u_tt - u_xx = 0 with u(x, 0) = f(x) = 1 if -1 Please provide me a detailed answer. I had worked the most part of this question and the only I would like

Example to understanidng of multiplication, 6-year-old Rahul wasn't able to...

6-year-old Rahul wasn't able to understand multiplication when it was thrust upon him in school. His mother discussed this problem with some of us. On the basis of suggestions that

Permuation and combination, how many words can be formed from letters of wo...

how many words can be formed from letters of word daughter such that word contain 2vowles and 3consonant

How much greater is 0.0543 than 0.002, How much greater is 0.0543 than 0.00...

How much greater is 0.0543 than 0.002? To ?nd out how much greater a number is, you required to subtract; 0.0543 - 0.002 = 0.0523. For subtract decimals and line the numbers up

Interval of convergence - sequences and series, Interval of Convergence ...

Interval of Convergence After that secondly, the interval of all x's, involving the endpoints if need be, for which the power series converges is termed as the interval of conv

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