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

Tutors Answer Your Questions about Linear Equations And Systems Word Problems (FREE)

Question 20441: 32,000/n=8,000
Click here to see answer by mmm4444bot(95)

Question 20440: Please help with all the steps shown. I have been agonizing over this one. Thanks in advance:)
Wal-Mart sells thermometers ($2)and hot-water bottles ($6). In December, Wal-Mart's total sakes were $1200. Customers bought 7 times as many thermometers as hot-water bottles. How many of each did Wal-Mart sell?
Click here to see answer by Paul(988)

Question 20526: Hello
with this problem i'm suppose to use the slope intercept method to graph the equation 5 = 2/3x - y i'm to write the slope (m) and the intercept (b) on graph paper to draw a graph of this problem. Can somebody please help me write a solution to this problem? Thanks!!
Click here to see answer by wuwei96815(245)

Question 20529: Claire has a small personal business making scented candles.
Her startup costs are $200. Her cost to make each cangle is
$1.50. She sells each candle for $4.00. Use a system of
equations to determine the number of candles she must sell
to break even. (Write one equation for her prodction costs
and one for her sales revenue.)=
Click here to see answer by mmm4444bot(95)

Question 20653: Three consetive numbers have a combined sum of 405.Name the smallest of the three numbers .SOLVE.
Click here to see answer by Paul(988)

Question 20709: Two pipes together can fill a reservoir in 6 hours 40 minutes. Find the time each alone will take to fill the reservoir if one of the pipes can fill it in 3 hours less than the other. Please help!
Click here to see answer by Paul(988)

Question 21041: I know I need two equations I am confused on where to begin. Can someone help?
Eighty-six passengers rode in an Amtrack train from Boston to Denver. Tickets for regular coach seats $97. Tickets for sleeper car seats $123. The receipts for the trip totaled $9,304. How many passengers purchased each type of ticket?
Need step by step solution to understand
On Monday, Harold picked up seven soft drinks and five burgers for his office. He paid $10.08. On Tuesday, Melinda picked up eight burgers and six soft drinks for everyone. She paid $12.28. What is the cost of one soft drink? What is the cost of one burger?
Tim Duncan scored 35 points in an NBA basketball game without scoring any 3 point shots. He scored 27 times. He made several free throws worth 1 point each and several regular shots from the floor, which were worth 2 points each. How many free throws did he make? How many 2 point shots did he make?
Click here to see answer by Paul(988)

Question 21040: The sum of 2 numbers is 138. If three times the smaller number is subtracted from the larger number, the result is 22. Find the two numbers. Present your answer as an ordered pair.
Help I know I need two equations but do not know where to begin. What do I do to solve this problem?
Click here to see answer by Paul(988)

Question 21047: 2/3+4/6
Click here to see answer by lola_fish99(13)

Question 21350: Solve the system of equations using either the substitution or the elimination method. If there is a unique solution present it as an ordered Pair adn show the check of your solution. If there is no unique solution state why and show how you determined your answer. x = 6-3y and 2x +6y=12
Click here to see answer by venugopalramana(3286)

Question 21457: by weight, one alloy is 75%copper and 25%zinc. Another alloy is 42%copper and 58%zinc. How many grams of each or these are required to make 200 grams of an alloy that is 60% copper and 40% zinc?
Click here to see answer by Paul(988)

Question 21508: Here is my problem:
A father and his two sons bought a drug store for $320,000. If the father
invested twice as much as the older son, and the older son invested
$45,000 less than twice the younger son, how much did the father and
his sons each invest?
This needs to be solved as a linear equation.
The answer is: younger son, $65,000; older son, $85,000; father $170,000
I started with:
Father = A, older son = B and younger son = C
A + B + C = 320,000
2B = A
2C - 45,000 = B
But I don't know where to go from there.
Any help would be appreciated, Thanks!
Sandy
Click here to see answer by venugopalramana(3286)

Question 21992: First let me say I'm an old guy (52 years old)!
Here is my problem, my 25 year old daughter has challenged me to solve this problem:
What is the sum of the solution of the equation 3x^2 + 11x = 4 (three x squared plus 11x equals four
She gave me the answer as negative three and two-thirds, and has challenged me to show how she arrived at this answer.
Quite frankly, I have no idea. Any help would be greatly appreciated!
Thanks,
"Old Guy Dad"

Click here to see answer by Earlsdon(6291)

Question 22016: hi my name is brittny and i am having trouble with this one problem
directions: solve the following system of equations for x and y
2x-3y=-35
3x-2y=-5
thank you i hope you can help
Click here to see answer by wuwei96815(245)

Question 22175: Find the lenght of a rectangle meeting the specified conditions. The perimeter is 108 feet and the length is 80 percent of the width.
Click here to see answer by Earlsdon(6291)

Question 22176: Jennifer went to a post office to buy some number of 24 cent stamps and 7 times as many 37 cent stamps as 24 cent stamps. If she paid $11.32, how many 37 stanps did she buy?
Click here to see answer by Paul(988)

Question 22292: 1) In the past, the students who lived on the east side of the river went to East High, and those living on the west side went to West High. Since the city was spread out, some students needed to be bused to their schools.
Two things led to a need to change the way the students are assigned to schools:
 West High has become overcrowded, while East has one extra room
 Recently a federal court ordered River City to integrate the two schools. In particular they mandated that at least half of the students at East High school should come from the west side of the river
Here are some facts about the situation:
 There are 300 high school students living on the east side of the river and 250 living on the west side
 East High School can hold up to 350 students and West High can handle up to 225
 The average cost for bussing per day is:
1. $1.20 for each east side student going to East High
2. $2.00 for each east side student going to West High
3. $3.00 for each west side student going to East High
4. $1.50 for each west side student going to West High
The problem facing the River City school board (and you) is to find out how many students to send to each school so that the bussing costs are minimized.

2) Mr. Goodfellow died and left his 300 acre farm to the city. Then the U.S. Army closed its base on the edge of town, giving 100 acres to the people. Finally there was 150 acres of mining land that was given back to the city which no resections on its use.
That was 550 acres of land that the city could use in any way it decided. The problem was that the city isn’t an “it”. A city contains many people who don’t always agree. The people in River City did not agree on how to use the 550 acres.
Essentially, there were two sides to the controversy, One side wanted as much of the land as possible for development; that is, for stores, businesses, and housing. The other side wanted to use as much of the land as possible for recreation. That is, they wanted park land, hiking trails, a wildlife preserve, and picnic areas.
The chamber of Commerce won an initial victory by getting the city counsel to agree that at least 300 acres would go for development. The chamber of Commerce also thought that the more attractive property of the army base and mining land should go to development, while any recreation land could come from Mr. Goodfellow’s property. But the Sierra Club felt that some of the more attractive land should go for recreation. The two groups finally came up with a two-part compromise.
o At most 200 acres of the army base and mining land could go for recreation
o The amount of army base land used for recreations plus the amount of land from Mr. Goodfellow used for development had to add up to exactly 100 acres
The city manager made a chart below to show for each parcel, how much each type of land use would cost the city
Parcel
Improvement costs
per acre for
recreation land Improvement costs
per acre for
development land
Goodfellow's $50 $500
Army Base $200 $2,000
Mining Land $100 $1,000
Everyone agreed that they wanted to keep the cost to River City at a minimum, while satisfying their needs. So the matter was turned over to the city manager. She was directed to decide how to slip the land use between development and recreation in a way that would minimize the cost to the city of the necessary improvements, at the same time making sure that at least 300 acres went for development and that the two-part compromise was followed. She turned the matter over to a consulting firm of city planners. Your group is to function as that consulting firm.

These problems, i have worked on them for two week and i still dont know how to get the set up equations. Please help me!!!!!!
Click here to see answer by wuwei96815(245)

Question 22508: I have to write an equation relating the number of cups of brown sugar (s) to the number of cups of flour (f) in a recipe that calls for 2 1/4 cups of all purpose flour and 3/4 cup brown sugar.
Click here to see answer by AnlytcPhil(1278)

Question 22591: An orange has 20 fewer calories than a banana. If 7 bananas have the same number of calories as 9 oranges, how many caloris does eah have?
Click here to see answer by stanbon(57424)

Question 22592: please help me solve this equation
Click here to see answer by Alwayscheerful(414)

Question 22528: A Texas ranch is in the shape of a square 60 miles on each side. If the ranch house is at the exact center of the square, how far is it from the house to any corner of the property?
Click here to see answer by stanbon(57424)

Question 22674: A number differs from it's square by the average of the number and it's square
I sent the wrong email before
Click here to see answer by stanbon(57424)

Question 22716: team a digs 9 meters per day team b can dig 12 meter per day but started 2 days later. x is the number of days. show me how towrite in a algebraic expression
Click here to see answer by pridgea(6)

Question 22761: I ran into this in an old math textbook. Any solvers?
. One man and two boys can do in 12 days certain work that could be done in 6 days by three men and one boy. How long would it take one man to do it?
Click here to see answer by Earlsdon(6291)

Question 22673: A number differs from it's square by the average of the number and it's square

Click here to see answer by rapaljer(4667)

Question 22963: Write a set notation for: the set of x and y such that twice the x less the y is equal to 5.
Click here to see answer by stanbon!(97)

Question 22961: Your weekly salary is modeled after a line equation.
s=50t+200
Calculate your annual salary based on the equation above.
Explain the physical meaning of the value 50 and 200.
Click here to see answer by stanbon!(97)

Question 23031: The lengths of two opposite sides of a square are doubled, and the lengths of the other two sides are each increased by 4 cm. The area of the resulting rectangle is 128 cm ^2 greater than that of the original square. Find the length of a side of that square.
Click here to see answer by stanbon!(97)

Question 23041: have $100 horses cost $10 goats $3 chickens $.50 need just 100 animals
Click here to see answer by rapaljer(4667)

Question 23032: Two chords, AB and CD, intersect in a circle at E. if _AE= 6cm, BE = 8 cm, and CE = 3(DE), what is the length of CD?
Click here to see answer by NaiXLG(18)

Question 22593: I was wondering if that x=35 and y=65
Click here to see answer by AnlytcPhil(1278)

Question 22173: Im a certain rural area, the probability that an adult watches less than 10 hours of TV per year is 0.013. A survey in this area found 4 adults who reported watching less than 10 hours of TV per year. Estimate the size of the groups surveyed.
Click here to see answer by venugopalramana(3286)

Question 22529: The width and height of a rectangular carton are the same. The length is one foot longer than the height. The carton is then placed inside a second carton in the shape of a cube with the same length as the first carton. Write a polynomial expression for the space that remains inside the second carton.
Click here to see answer by venugopalramana(3286)

Question 22512: I have to write an equation relating the number of cups of brown sugar (s) to the number of cups of flour (f) in a recipe that calls for 2 1/4 cups of all purpose flour and 3/4 cup sugar
Click here to see answer by stanbon(57424)

Question 22270: I have tried this problem multiple times and can't seem to get the correct answer.
A mountain climber planning an epedition is concerned about two types of synthetic food. One food contains 100 calories per ounce, 24 units of protein per ounce, and 4 units of fat per ounce. A second food contain 125 calories per ounce, 20 units of protein per ounce, and10 units of fat per ounce. If the man wants a minimum of 2000 calories, 400 units of protein, and 100 units of fat per day, which food or food combination should he use to meet the minimum daily requirements and minimize the total wight?
use two variables and translat the constraints to a system of linear inequalities. Graph the system, and find the vertices, apply linear programming theory and interpret the results.
Click here to see answer by venugopalramana(3286)

Question 23234: Suppose your office gives you $200 to buy computer disks. The 550-MB disks cost $7 each. The 650-MB disks cost $8 each. Write the inequality that describes how many of each kind of disk you can buy.
Click here to see answer by rapaljer(4667)

Question 23272: SUPPOSE YOU THROW A BASEBALL STRAIGHT UP AT A VELOCITY OF 64 FEET PER SECOND. A FUNCTION
CAN BE CREATED BY EXPRESSING DISTANCE ABOVE GROUND, S, AS A FUNCTION OF TIME, T. THIS FUNCTION IS: S=-16T^2+^V0^T+^S0
16 REPRESENTS 1/2G, THE GRAVITATIONAL PULL DUE TO GRAVITY (MEASURED IN FEET PER SECOND^2).
^V0 IS THE INITIAL VELOCITY (HOW HARD DO YOU THROW THE OBJECT, MEASURED IN FEET PER SECOND).
^S0 IS THE INITIAL DISTANCE ABOVE GROUND (IN FEET). IF YOU ARE STANDING ON THE GROUND, THEN ^S0=0.
WHAT IS THE FUNCTION THAT DESCIBES THIS PROBLEM?
THE BALL WILL BE HOW HIGH ABOVE GROUND AFTER 1 SECOND?
Click here to see answer by stanbon(57424)

Question 22073: MEASUREMENT, A physican's assistant measures a child and finds that his height is 41_1/2 in. at his last vist to the docters office ,the child was 38_3/4 in.
tall. How much did the grow?
Click here to see answer by stanbon(57424)

Question 23512: a racket cost $12.00 more than a bat. the cost of two rackets and three bats is $619.
using x ato represent the cost, in dollars, of a bat.
(i) write an algebraic expression for the cost of a racket
(ii) write an algebraic equation to represent the total cost of the two rackets and three bats
(iii) solve the equation and hence, determine the cost of a racket
Click here to see answer by Paul(988)

Question 23546: seven pencil and five eraser costs $11.60, whereas 5 pencil and 3 eraser cost $7.60. calculate the cost of 8 erasers.
Click here to see answer by rapaljer(4667)

Question 24060: the total attendence at a rally was 750. tickets bought before the rally were $2 each,and tickets bought at the door were $2.75 each. How many of ticket were bought at the door if th total receipts were 1706.25
Click here to see answer by wuwei96815(245)

Question 24137: your teacher is giving you a test worth 100 points containing 40 questions. there are two point and four point questions on the test. how many of each type of question are on the test?
Click here to see answer by kev82(148)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830