Questions on Word Problems: Linear Equations And Systems Word Problems answered by real tutors!

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Question 224813: Water from 2 hoses of different diameters can fill a swimming pool in 4 hours when used simultaneously. If each hose is used separately it takes 6 hours longer to fill the pool with the smaller diameter hose than with the larger diameter hose. Suppose the time taken to fill the pool using only the smaller diameter hose is T hours.
(i) what fraction of the pool is filled in 4 hours by the smaller diameter hose?
(ii) what fraction of the pool is filled in 4 hours by the larger diameter hose?
iii form an equation and solve it to find the time taken to fill the pool if only the smaller diameter hose is used.
Click here to see answer by ankor@dixie-net.com(15747)

Question 224937: This word problem was assigned in my Calculas class.
I think the answer is b but I can not set it up using algebra to solve. Please help.
Suppose we have a cup of coffee and a cup of cream containing an equal volume of liquid and suppose we do the following:
1. Transfer a Tablespoon of cream and put it into the cup of coffee. We stir it in completely.
2. We then transfer a tablespoon of the cream-in-the-coffee mixture back into the cream cup and stir completely.
AFter these steps decide which of these statements is true(in the sense of volume)Explain your answer using ALGEBRA.
a.There is more coffee in the original "cream cup" than there is cream in the original "coffee cup".
b.There is more cream in the original "coffee cup" than there is coffee in the original "cream cup".
C. None of the above.
Click here to see answer by scott8148(6628)

Question 225212: A shirt cost 15.00 more than a pair of shorts. Terrell Paid 101 for 3 shirts and 5 pairs of shorts. How much did each shirt cost?.
Could you please show me how to work this problem. My child is having a hard time and I cant remember how. IT has been to long.
I have p+15=s
3s+5p=101
I get stuck after that.

Click here to see answer by LtAurora(115)

Question 225216: Advance tickets to a show cost 20 ,and same-day tickets cost 30. The total number of tickets sold was 60 for total receipts of 1600. How many tickets of each type were sold.

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Question 225220: twice a number equals 25 less triple the same number. find the number.
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Question 225337: THe sume of two numbers is 90. If 20 is added 3 times the smaller number, the result exceeds twice the larger number by 50. Let A represent the smaller number and let B represent the larger number.
a+b=90
Click here to see answer by LtAurora(115)

Question 225375: THis question is coming from Quantitive Methods and concerns Marginal and Joint probability. It is a 2 part question. I completely do not understand how to solve this problem. I do not understand how to formulate to solve:
"A metro school system consists of 2 districts: north and south. The north district contains 60% of all students and the south district contains 40% of all students. A competency test was given to all students. 10% of the north district failed and 15% of the south district failed."
Question A: What is the probability that a student from the entire school system, chosen at random, has passed?
Question B using Bayes Rule: What is the probability that a student who has failed the test came from the South District?
Any help is learning how to EASILY formulate and solve would be appreciated. Thanks!
Click here to see answer by scott8148(6628)

Question 225638: The length of a rectangular garden is 3 meters more than seven times its width. Find the length and width of the garden if the perimeter of the garden is 70 meters.
Click here to see answer by checkley77(12569)

Question 225723: I posted this problem earlier but no one responded. I have figured out every problem except this one and need some help. particularly with how to formulate:
"A fair die is rolled nine times. What is the probability that an odd number 1,3, or 5 will occur LESS than three times?"
If there are six sides to a fair dice, I would start like this 3/6 ^9 or 1/2^9 which would equal 1/512...I am lost from there. HELP!! Thanks!
Click here to see answer by solver91311(17077)

Question 226031: A girl scout troop sold cookies. If the girls sold 5 more boxes the second week than they did the first, and if they doubled the sales of the second week for the third week to sell a total fo 431 boxes of cookies, how many did they sell each week? Please show me how to set up this problem. Thank you very much.
Cheyenne

Click here to see answer by scott8148(6628)

Question 226054: Please help me with this problem.
Use substitution to solve each system of equation? State whether it has no solution or many solutions.
x+5y=-3
3x-2y=8
Click here to see answer by LtAurora(115)

Question 226104: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 80 miles per hour and train B is traveling at 84 miles per hour. Train A passes the station at 3:25 A.M. If train B passes the same station at 3:55 A. M., at what time will train B catch up to train A?
Click here to see answer by checkley77(12569)

Question 226249: The perimeter of a rectangle is 126 cm. The rectangle is twice as long as it is wide. What are its dimensions?
Click here to see answer by drj(1380)

Question 226267: the base of an isosceles triangle is one-third the length of each of the congruent sides. The perimeter of the triangle is 84 cm. How long is the base?
Click here to see answer by scott8148(6628)

Question 226373: A ladder is placed to reach a tree house. If the height of the tree house from the ground is half the length of the ladder, what is the length from the bottom of the tree to the bottom of the ladder?
Click here to see answer by checkley77(12569)

Question 226451: System of equations:
A laboratory assistant is asked to mix 30% alcohol solution with 21 liters of an 80% alcohol solutuion to make a 60% alcohol solution. How many liters of the the 30% alcohol solution should be used.
Click here to see answer by josmiceli(9819)

Question 226450: Write a system of equations:
Ann has $5000 to invest. She invests in two different accounts, one expected to return 4.5% and the other expectedto return 9%. In order to earn $320.50 for the year, how much should she invest at each rate.
Click here to see answer by rfer(12731)

Question 226575: The measures of the two acute angles of a right triangle differ by 18 degrees. What are their measures?
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Question 226385: A commercial building was built in 1 - 7/8 months by 20 skilled workers and 30 unskilled laborers. If 30 skilled men were contracted the group alone would have erected the facility in 2 months time, How long should it take one unskilled worker alone to complete the job?

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Question 226836: This is in Algebra 1 on solving equation word problems.Negative seven times a number is 1.477. find the number
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Question 226956: A 23FT. BOARD IS CUT INTO TWO PIECES. ONE PIECE IS 5 FEET LONGER THAN THE OTHER. HOW LONG IS EACH PIECE? WHICH EQUATION WOULD SOLVE THIS PROBLEM?
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Question 227000: the sum of two numbers is 72. one number is 3 more than the two times of the other number. find the numbers.
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Question 227095: The length of a rectangle is 9 inches more than the width. Its area is 112 square inches. Find the dimensions of the rectangle.
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Question 227099: The average hourly wage of employees of a certain company is $9.83. Assume the variable is normally distributed. If the standard deviation is $4.58, find the probability that a randomly selected employee earns less than $5.43.
Click here to see answer by Theo(3504)

Question 227110: There are 80 bins that hold 1600 tons. Some bin hold 20 tons and some hold 25 tons. how many of each bin is needed to hold 1600 tons?
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Question 227110: There are 80 bins that hold 1600 tons. Some bin hold 20 tons and some hold 25 tons. how many of each bin is needed to hold 1600 tons?
Click here to see answer by Theo(3504)

Question 227225: the sum of three numbers is -2. the sum of three times the first number, twice the second number, and the third number is 9. the difference between the second number and half the third number is 10. find the numbers
Click here to see answer by solver91311(17077)

Question 227649: the jurassic Zoo charges $8 for each adult and $4 for each child. Totabill for the 201 people was $964. How many children were at the zoo?
Click here to see answer by drj(1380)

Question 227223: the sum of three numbers is -2. the sum of three times the first number, twice the second number, and the third number is 9. the difference between the second number and half the third number is 10. find the numbers
Click here to see answer by ankor@dixie-net.com(15747)

Question 227712: eight times a number plus six less than twice the number is 34
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Question 227736: I need help solving this equation:
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Question 227736: I need help solving this equation:
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Question 227832: 2. As you are leaving the community, you notice another new community just down the street. Because you are in the area, you decide to inquire about it.
a) The sales representative here tells you they also have two floor plans available, but they only have 38 homes available. Write an equation that illustrates the situation. Use x and y to denote floor plan #1 and floor plan #2 respectively.
b) The representative tells you that floor plan #1 sells for $175,000 and floor plan #2 sells for $200,000. She also mentions that all the available houses combined are worth $7,200,000. Write an equation that illustrates this situation. Use the same variables you used in part a.
c) Use elimination to determine how many houses with each floor plan are available. Explain how you arrived at your answer.

I am totally clueless. I am familiar with word problems, and the elimination method. I have a major problem attempting to figure out how to translate the given information into an equation. I cannot solve for something that I cannot first translate. PLEASE HELP!!!

Click here to see answer by stanbon(57984)

Question 227842: One number exceeds another by ten and their sum is 34. Find the larger number.
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Question 227840: How long will it take Jones and Smith, together to plow a field which Jones can plow alone in 5 days and Smith alone in 8 days?
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Question 227497: 4.4. A person invested 17,000 for one year, part at 10% part at 12%. The total annual income from these investments was 716. The amount of money invested at 12# was 300.00 more than the amounts invested at 8% and 10% combined. Find the amount invested at each rate. PLEASE HELP>>>>>>>>I AM LOOOOOSSSSSSSTTTTTTTT
Click here to see answer by ankor@dixie-net.com(15747)

Question 227844: One number exceeds another by ten and their sum is 34. Find the larger number.
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Question 227956: Paula is 12 years older than her brother Bob. Four years from now Bob wil be two thirds as old as Paula. How old are they now?
Click here to see answer by drj(1380)

Question 227978: Jenny wants to utilize a portion of her garden for growing flowers. Being a designer herself, she visualizes a triangular area with different lengths for each side. For this Jenny decides to keep a side of the triangular area 5 feet shorter than the third side and the other side 4 feet longer than the third side. She also wants to restrict the perimeter of the triangular area to a maximum of 29 feet, so that it does not cover a huge area of the garden. Determine the length of each side of the triangular area that Jenny has visualized.
Click here to see answer by Earlsdon(6294)

Question 228207: 5)Janet drove her car due west for 3 hours while April drove her car due east for 2 hours. Janet drove 20km/hr faster than April. Their total distance driven combined is 400 km.
a) Complete the following table
------(km/hr)Distance-----Speed---------Time(h)
Janet----------------------j------------------
April----------------------a------------------

b) set up a system of linear equations ready to enter into your Ti-83 to represent this situation.

c)Find each of their speeds.

Please can you do this question and show the work. I tend to understand more when i see the steps that were taken to get the answer. Thank you! : D
Click here to see answer by stanbon(57984)

Question 228291: Pleace help me solve.
I tried dividing 126 by four and adding 15 inches, but that was really off.
A perimeter of a rectangle is 126 inches. The lenght exceeds the width by 15 inches. Find the lengh and width.
Click here to see answer by rfer(12731)

Question 228778: Moolah has 27 coins that are all dimes and quarters. The value of the coins is $4.35. How many dimes and how many quarters does Moolah have?
Click here to see answer by checkley77(12569)

Question 228950: Bill travels 8mph and Karen 3mph. They live 8.25 miles apart. How long will it take before they meet?
Click here to see answer by rfer(12731)

Question 229241: I need help with figuring out the axis of symmetry, the vertex, and the y-intercept using this quadractic equation:
Click here to see answer by Alan3354(31538)

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