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

Sequencing., how to select out time for m2

how to select out time for m2

Factoring polynomials, Factoring polynomials is probably the most important...

Factoring polynomials is probably the most important topic. We already learn factor of polynomial .If you can't factor the polynomial then you won't be able to even start the probl

Linear Equations of Parallel Lines, A line has the equation 2y=-3x+1. Find...

A line has the equation 2y=-3x+1. Find an equation of a line parallel to this line that has a y-intercept of -2.

The length of the rectangle is 2 inches more than the width, The area of a ...

The area of a rectangle is 24 square inches. The length of the rectangle is 2 inches more than the width. How many inches is the width? Let x = the number of inches in the widt

Determine the leading order term the asymptotic expansion, Submit your work...

Submit your working in (neat) handwritten form (do not type up your solutions). For the plots that you generate in Maple or Matlab, you can print them out and attach them at the en

What do you mean by transient state, What do you mean by transient state an...

What do you mean by transient state and steady-state queueing systems If the characteristics of a queuing system are independent of time or equivalently if the behaviour of the

Geometry, how to make an obtuse scalene triangle FAT with m

how to make an obtuse scalene triangle FAT with m

Solve sin (a /7) =0 trig function, Solve sin (α /7) =0 . Solution B...

Solve sin (α /7) =0 . Solution By Using a unit circle it isn't too difficult to see that the solutions to this equation are, α /7 = 0 + 2 ? n     ⇒   α = 14 ? n

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