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

Marketing, What are the Input and Output of Marketing

What are the Input and Output of Marketing

Probability of independent events, Q. Probability of Independent Events? ...

Q. Probability of Independent Events? Ans. Consider these two events:  {My name is Shirley} {The rain is falling} Are these events related to each other?  No.  My name

Area of a hyperbolic wedge, The unit circle will be parametrized by (cosw, ...

The unit circle will be parametrized by (cosw, sinw). Provide a point on it, the region cut out by circle, the x-axis, and the line from the origin to this point has covered area w

Show that of all right triangles inscribed in a circle, Show that of all ri...

Show that of all right triangles inscribed in a circle, the triangle with maximum perimeter is isosceles.

Which kevin gets paid is represented by x what does paid, Patrick gets paid...

Patrick gets paid three dollars less than four times what Kevin gets paid. If the number of dollars which Kevin gets paid is represented through x, what does Patrick get paid?

He would such as to leave 20% tip how much should he leave, Mr. Pelicas too...

Mr. Pelicas took his family out to dinner. The bill was $65.00. He would such as to leave a 20% tip. How much should he leave? Find 20% by multiplying $65 through the decimal e

2(sin 6+cos6) - 3(sin4+cos4)+1 = 0, 2(sin 6 ?+cos 6 ?) - 3(sin 4 ?+cos 4 ?...

2(sin 6 ?+cos 6 ?) - 3(sin 4 ?+cos 4 ?)+1 = 0 Ans:    (Sin 2 ?)3  + (Cos 2 ?)3-3 (Sin 4 ?+(Cos 4 ?)+1=0 Consider (Sin 2 ?)3  +(Cos 2 ?)3 ⇒(Sin 2 ?+Cos 2 ?)3-3 Sin 2 ?Co

Equations, At a bakery the cost of 30 experts is 45$. Write an equation tha...

At a bakery the cost of 30 experts is 45$. Write an equation that shows the cost of 45 cookies

Find solution to an equation or inequality, Illustrates that each of the fo...

Illustrates that each of the following numbers are solutions to the following equation or inequality. (a) x = 3 in x 2 - 9 = 0 (b) y = 8 in 3( y + 1) = 4 y - 5 Solution

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