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

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 Linear Solvers Practice Answers archive Word Problems Lessons In depth

 Question 193131: An express and local train leave GraysLake at 3 P.M and head for Chicago 50 miles away. The express travels twice as fast as the local and arrives 1 hour ahead of the local. Find the speed of each train. Click here to see answer by jonvaliente(64)

 Question 193199: A carpet of area 240msquared has its length doubled. The width is reduced by 5m. Calculate the original dimensions of the carpet. Assume the two areas are equal. Click here to see answer by jonvaliente(64)

 Question 193334: The length of a rectangle is equal to three times its width. If the perimeter is equal to 240 feet, what is the length of the recatngle? Ican only get L(3w)= 240 Click here to see answer by RAY100(1637)

 Question 193292: Apples cost \$0.60 per pound and grapes cost \$1.00 per pound. Jenny bought 12 lb of fruit and paid \$10.00. How many pounds of each did Jenny buy? Click here to see answer by ankor@dixie-net.com(15652)

 Question 193600: Mr.Green has 8.5 by 11 inch cardboard sheets. As a class project Mr.Green asked his students make an open top box under these conditions: 1.) each box must be made by cutting small squares from each corner of a cardboard sheet 2.) The box must have a volume of 48in^3 3.) The amount of cardboard waste must be minimized What is the approximate side length for the small squares that would be cut from the cardboard sheet? Click here to see answer by ankor@dixie-net.com(15652)

 Question 185143: THE SUM OF THE DIGITS OF A TWO-DIGIT NUMBER IS 14. IF THE NUMBER REPRESENTED BY REVERSING THE DIGITS IS SUBTRACTED FROM THE ORIGINAL NUMBER, THE RESULT IS 18. WHAT IS THE ORIGINAL NUMBER? Click here to see answer by solver91311(16890)

 Question 194322: Ronald wants to sell his car through a broker who charges 10% commission of the selling price. Ronald stills owes \$11,025 on the car. He must get enough to pay off the loan what is the range of the selling price? Click here to see answer by edjones(7569)

 Question 194397: The manager of a discount clothing store received two shipments of fall clothing. The cost of the first shipment which contained ten identical sweaters and twenty identical jackets was \$800. The second shipment at the same prices, contained five of the same sweaters and fifteen of the same jackets. The second shipment was \$550. Find the cost of one jacket. Click here to see answer by checkley77(12569)

 Question 194477: If an object is given an initial velocity of v0 feet per second from a height of s0 feet, then its height as a function of time is h(t) = -16t^2 + v0t + s0 A potato gun is capable of launching a spud with an initial velocity of 80 feet per second. If the tater takes off from an elevation of 100 feet, how many seconds into its flight will it be at an elevation of 115 feet. Click here to see answer by Alan3354(30993)
 Question 194477: If an object is given an initial velocity of v0 feet per second from a height of s0 feet, then its height as a function of time is h(t) = -16t^2 + v0t + s0 A potato gun is capable of launching a spud with an initial velocity of 80 feet per second. If the tater takes off from an elevation of 100 feet, how many seconds into its flight will it be at an elevation of 115 feet. Click here to see answer by nerdybill(6959)

 Question 194486: A highway that has a 6% grade rises 6 ft vertically for every 100 ft horizontally. Which trigonometric ratio is being used in reporting the 6% grade? I really need help please can you please explain. Click here to see answer by Alan3354(30993)

 Question 194159: If an object is given an initial velocity of v0 feet per second from a height of s0 feet, then its height as a function of time is : h(t) = -16t^2 + v0t + s0 A potato gun is capable of launching a spud with an initial velocity of 80 feet per second. If the tater takes off from an elevation of 100 feet, how many seconds into its flight will it be at an elevation of 115 feet? (the zeros are supposed to be subscripts) Click here to see answer by Alan3354(30993)

 Question 194795: two teachers are going to a conference for a fewdays.Mrs.Jerrerson plane on spending \$502 on 14 meals and 4 nights in a hotel. Mrs.Lloyd plans on spending \$370 on 10 meals and 3 nights in a hotel. How much are they planning on spending pre meal and pre night for a hotel Click here to see answer by stanbon(57356)

 Question 194810: 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 stanbon(57356)

 Question 194905: A box is to be constructed so that its height is twice its length and its width is 2 inches less than the length. Give a complete description of the function giving the volume of the box in terms of the length. Click here to see answer by ankor@dixie-net.com(15652)

 Question 195156: Amy paid \$67.32 for a pair of running shoes during a 25% off sale. What was the regular price? What is the solution? -1/2x=-7/8 Click here to see answer by edjones(7569)

 Question 195316: Tickets for a concert were sold to adults for \$3 and to students for \$2. If the total receipts were \$824 and twice as many adult tickets were sold, then how many for each were sold? Click here to see answer by ankor@dixie-net.com(15652)

 Question 195154: The function H described by H(x) =2.75x+71.48 can be used to predict the height, in centimeters, of a woman whose humerus (the bone from the elbow to the shoulder) is x cm long. Predict the height of a woman whose humerus is 39 cm long. Click here to see answer by jojo14344(1512)

 Question 195501: In 1995, the life expectancy of males in a certain country was 72.3 years. In 2001, it was 75.8 years. Let E represent the life expectancy in year t and let t represent the number of years since 1995. Click here to see answer by stanbon(57356)

 Question 195569: After looking to find a rental car, I found that Enterprise charges \$108 a day plus \$.25 per mile per day. Budget car rental charges \$137.73 per day and unlimited mileage. Set up an equation and tell me at how many miles will I choose rent from Enterprise and at how many will I want to rent from Budget. Click here to see answer by Alan3354(30993)

 Question 195674: Hi, I am having a problem with the following question. On a test containing 120 questions, the final score is based on 1 point for each correct answer and 1/4 of a point subtracted for each incorrect answer. Allan answered all of the questions and received a final score of 100 points. How many questions did Allan answer correctly? Thank you for your help! Melissa Click here to see answer by jim_thompson5910(28595)

 Question 195688: The owner of a sidewalk expresso stand find that the weekly profit for their business is a function of the price they charge per cup. If x equals the price(in dollars) of one cup, the weekly profit is given P(x)= -2900x^2 + 7250 - 2900. Approximate the maximum profit and the price per cup that produces that profit. Click here to see answer by josmiceli(9680)

 Question 195854: Basal energy requirement. The basal energy requirement B is the number of calories that a person needs to maintain the life process. For a 28-year-old female with a height of 160 centimeters and a weight of 45 kilograms (kg), B is 1300 calories. If her weight increases to 50 kg, then B is 1365 calories. There is a linear equation that expresses B in terms of her weight w. Find the equation and find the basal energy requirement if her weight is 53.2 kg. This question comes from Elementary and Intermediate Algebra, Chapter 3, Section 3.4, problem #9 Click here to see answer by vleith(2825)

 Question 196079: Shelly can cut a lawn with a riding mower in 5 hours less time than it takes William to cut the lawn with a push mower. If they can cut the lawn in 5 hours working together, find how long to the nearst tenth of an hour, it takes for William to cut the lawn alone. Click here to see answer by josmiceli(9680)

 Question 196171: In a family there are two cars. The sum of the average miles per gallon obtained by the two cars in a particular week is 45. The first car has consumed 40 gallons during that week, and the second car has consumed 20 gallons, for a total of 1400 miles driven by the two cars combined. What was the average gas mileage obtained by each of the two cars that week? Click here to see answer by josmiceli(9680)

 Question 196141: A chemist has three samples of unknown mass. Each pair of the samples is balanced against the third sample and one of the three known masses. Find the unknown masses if the known ones are 9 g, 15 g, and 27 g. Click here to see answer by josmiceli(9680)

 Question 196211: Tracy needs to find the length and width of the equipment storage room where she works. The room is 4 meters longer than it is wide. Its perimeter is 24 meters. Find the width in meters. Click here to see answer by jojo14344(1512)

 Question 196300: National cost in billions of dollars for dental services can be modeled by the linear equation C=2.85n+30.52 a. find the C intercept for the line b. find the n intercept for the line c. graph the line for n ranging from 0 through 20 Click here to see answer by strickjh2005(4)

 Question 196384: SUPPOSE YOU ARE BUILDING A STORAGE BOX OF VOLUME 4368 in3. The length of the box will be 24 in. The height of the box will be 1 in more than its width, Find the height and the width. I know v=lwh v=4368in3 l=24 w=x h=x+1 (24)(x)(x + 1) = 4368in3 (24 + x)(x + 1) = 4368in3 Click here to see answer by scott8148(6628)
 Question 196384: SUPPOSE YOU ARE BUILDING A STORAGE BOX OF VOLUME 4368 in3. The length of the box will be 24 in. The height of the box will be 1 in more than its width, Find the height and the width. I know v=lwh v=4368in3 l=24 w=x h=x+1 (24)(x)(x + 1) = 4368in3 (24 + x)(x + 1) = 4368in3 Click here to see answer by Edwin McCravy(8909)

 Question 196884: 1.Find the two numbers whose sum is 108 and whose difference is 24. 2. The cost of 5 tables is the same as the cost of 8 chairs. If the cost of 4 tables and 9 chairs is 3080 Rs. Find the cost of each. 3. Five years ago, A's age was four times B's age, 6 years hence A's age to B's age is 5:2. Find the ages of A and B at present. 4. If the length of a rectangular room is decreased by 2m and its breadth increased by 5m, its area would increase by 80 sq.m. If the length is increased by 3 m and its breadth decreased by 2m, its area would decrease by 20 sq.m. Find the length and breadth of the room. Click here to see answer by J2R2R(94)

 Question 196883: 1.Find the two numbers whose sum is 108 and whose difference is 24. 2. The cost of 5 tables is the same as the cost of 8 chairs. If the cost of 4 tables and 9 chairs is Rs. 3080, Find the cost of each. 3. Five years ago, A's age was four times B's age, 6 years hence A'age to B'S is 5:2. Find the ages of A and B at present. 4. If the length of a rectangular room is decreased by 2m and its breadth increased by 5m, its area would increase by 80 sq.m. If the length is increased by 3 m and its breadth decreased by 2m, its areea would decrease by 20 sq.m. Find the length and breadth of the room. Click here to see answer by anantha(86)

 Question 196867: Steve is three times as old as Theresa. In four years he willl be twice as old as she will be. How old is each now? Click here to see answer by ankor@dixie-net.com(15652)

 Question 196981: If the ratio of males to females in a group of students is 3:5, which of the following could be the total number of students in the group? Click here to see answer by stanbon(57356)

 Question 197306: I have a word problem that I can't figure out. A purse contains 30 coins, all either quarters or dimes. The total value of the coins is greater then \$5.20. At lease how many of the coins are quarters? At least how many are dimes? Click here to see answer by stanbon(57356)

 Question 197383: A special tea blend is made from two varieties of herbal tea, one that costs \$4.00/kg and another that costs \$2.00/kg. How many kilograms of each type are needed to make 20 kg of a blend worth \$2.50/kg? Click here to see answer by checkley77(12569)

 Question 197519: Dawns Suv gets 17 miles per gallon (mpg) in city driving and 23 mpg in highway driving. The suv is driven 290 miles on 15 gallons of gas. How many miles were dricen in the city and how many miles were driven on the highway? Click here to see answer by ankor@dixie-net.com(15652)

 Question 197922: A B and C can finish a job in 6 days. If B and C work together the job will take 9 days. If A and C work together the job will take 8 days. In how many days can each man working alone do the job? Click here to see answer by josmiceli(9680)

 Question 197924: 2. Suppose Bob owns 2,000 shares of Company X and 10,000 shares of Company Y. The total value of Bob's holdings of these two companies is \$340,000. Suppose Frank owns 8,000 shares of Company X and 6,000 shares of Company Y. The total value of Franks holdings of these two companies is \$340,000. a. Write equations for Bob and Frank's holdings. Use the variables X and Y to represent the values of shares of Company X and Company Y. b. Solve for the value of a share of Company X and Company Y. Show your work so you can get partial credit even if your final answer is wrong. Click here to see answer by stanbon(57356)

 Question 197730: A car rental company has two rental rates. Rate 1 is \$35 per day plus \$0.16 per mile. Rate 2 is \$50 per day and \$0.09 per mile. If you plan to rent for one week, how many miles would you need to drive to pay less by taking rate 2? Click here to see answer by josmiceli(9680)

 Question 197944: What is the length of a room that is 2 meters longer than it is wide and the perimeter is 24? This is not from the textbook Click here to see answer by ankor@dixie-net.com(15652)

 Question 198061: Which of the following are functions? The last two problems, i.e., b & c, are multi part relations consider all parts when determining whether or not these relations are functions. Explain your reasoning for a, b, and c. a. f(x) = x + 5 b. f(x) = 3 if x>2 otherwise f(x) = -2 c. f(x) = 7 if x>0 or f(x) = -7 if x<0 or f(x) = 7 or -7 if x = 0 Click here to see answer by solver91311(16890)

 Question 198057: Suppose Bob owns 2,000 shares of Company X and 10,000 shares of Company Y. The total value of Bob's holdings of these two companies is \$340,000. Suppose Frank owns 8,000 shares of Company X and 6,000 shares of Company Y. The total value of Franks holdings of these two companies is \$340,000. a. Write equations for Bob and Frank's holdings. Use the variables X and Y to represent the values of shares of Company X and Company Y. b. Solve for the value of a share of Company X and Company Y. Show your work so you can get partial credit even if your final answer is wrong. I do not understand how to get "b": solving the value of a share compnay? Click here to see answer by stanbon(57356)

 Question 198059: 3. Take a look at the table below and write out an equation for f(x). x -2 -1 0 1 2 f(x) -2 2 6 10 14 each of these items (x, -2, -1, 0, 1, 2) are suppose to be in a block in the first row of the table and (f(x) , -2, 2, 6, 10, 14 are on the next row of the table. The table just didn't copy over when I cut and pasted. I am so lost in this algebra class, I don't even know where to begin with this, little alone find an answer. Please answer. Thank you Click here to see answer by jim_thompson5910(28595)
 Question 198059: 3. Take a look at the table below and write out an equation for f(x). x -2 -1 0 1 2 f(x) -2 2 6 10 14 each of these items (x, -2, -1, 0, 1, 2) are suppose to be in a block in the first row of the table and (f(x) , -2, 2, 6, 10, 14 are on the next row of the table. The table just didn't copy over when I cut and pasted. I am so lost in this algebra class, I don't even know where to begin with this, little alone find an answer. Please answer. Thank you Click here to see answer by solver91311(16890)

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