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

Making equally sized groups-prerequisites for multiplication, Making Equall...

Making Equally Sized Groups :  By the time children reach Class 1 or 2, they would have had many experiences of pairs of objects-pairs of shoes, pairs of eyes, ears, arms, legs, w

How high is a structure, One method of calculating the height of an object ...

One method of calculating the height of an object is to place a mirror on the ground and then position yourself so that the top of the object will be seen in the mirror. How high i

What is the square root of -i and argument of -i, What is the square root o...

What is the square root of -i and argument of -i Ans) argument of -i is 270 ad 1 is the square root of -i

Sequence-or-series, in and ap 1,2,3,4,5,6,7,8,9 11,12,13,14,15,16,17,18,19...

in and ap 1,2,3,4,5,6,7,8,9 11,12,13,14,15,16,17,18,19 and like that nonzzero digit find tn Solution) First break the ''n'' number in terms of 10''s power. For e.g if n=3259 wri

Solve 3 + 2 ln ( x /7+3 ) = -4 logarithm, Solve 3 + 2 ln ( x /7+3 ) = -4 . ...

Solve 3 + 2 ln ( x /7+3 ) = -4 . Solution This initial step in this problem is to get the logarithm by itself on one side of the equation  along with a coefficient of 1.

Index numbers, What are advantages and disadvantages of both Laspeyres and ...

What are advantages and disadvantages of both Laspeyres and Paasche?

Homework, joey asked 30 randomly selected students if they drank milk, juic...

joey asked 30 randomly selected students if they drank milk, juice, or bottled water with their lunch. He found that 9 drank milk, 16 drank juice, and 5 drank bottled water. If the

Calculate the area of circle, Calculate the area of CIRCLE ? A circle i...

Calculate the area of CIRCLE ? A circle is a set of all points that are at a given distance from a center point. The diameter (d) of a circle is the length of a line that goes

Nemeric patterns, Kelli calls her grandmother every month. Every other mont...

Kelli calls her grandmother every month. Every other month,Kelli also calls her cousin in January, how many calls will Kelli have made to her grandmother and her cousin by the end

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