# 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 159298: A candle is 8 inches tall after burning for 1 hour. After 3 hours it is 5.5 inches tall. What is the equation in y=mx+b form to model the height "Y" of the candle at time "x" ?? Click here to see answer by jim_thompson5910(28476)

 Question 159363: O my thank you so much for your help with this word problem. Suppose that a car rental agency charges a fixed amount per day plus an amount per mile for renting a car. Heidi rented a car one day and paid \$80 for 200 miles. On aanother a day she rented a car from the same agency and paid \$117.50 for 350 miles. Determine the linear function tha tthe agency could use to determine its daily rental charges. Many thanks for your time with this one. Click here to see answer by stanbon(57203)

 Question 158620: Farenheit and Celcius In the farenheit temp scale, water boils at 212 F and freezes at 32 F. In the celcius scale, water boils at 100 C and freezes at 0 C. Assume that the Farenheit temp F and Celcius temp C are linearly related. A. Find the equation in slope intersept form relating F and C with C as an independant variable. B. What is the meaning of slope in question a? Click here to see answer by Alan3354(30924)

 Question 159380: Please help solve Translate to an algebra statement: Five times the difference of a number and one yields the same result as twice the same number increased by three. Click here to see answer by KnightOwlTutor(293)

 Question 159395: 1. Two persons A and B purchased 2kg of rice and 3kg of wheat for Rs. 86, 4 kg of rice and 5kg of wheat for Rs. 140. Find the price of 1 kg of wheat. Click here to see answer by edjones(7569)

 Question 159456: I have solved similar linear equations previously, but this one stumps me. The answer is 4L per the book, but I cannot get to that answer. Here is the question: How many liters of a 60% acid solution must be mixed with a 75% acid solution to get 20L of a 72% solution? Click here to see answer by scott8148(6628)

 Question 159537: 1. A person bought some pens and pencils for Rs. 564. If each pen cost Rs.7 and each pencil Rs.3 and the total number of pens and pencils he bought was RS. 108.find the number of each item. Click here to see answer by atique.ah(26)

 Question 159572: Find the cost per pound of a trail mix made from 10 lb of raisins that costs \$4.20 per pound and 90 lb of granola that costs \$5.60 per pound. A. \$4.32 B. \$5.46 C. \$6.07 D. \$6.83 Click here to see answer by KnightOwlTutor(293)

 Question 159571: How many liters of a blue dye that costs \$1.80 per liter must be mixed with 20 L of Anil, which costs \$2.60 per liter, to make a mixture that costs \$2.12 per liter? A. 30 L B. 25 L C. 20 L D. 15 L Click here to see answer by KnightOwlTutor(293)

 Question 159597: Five times the smallest of three consecutive odd integers is ten more than twice the largest. Find the integers. Click here to see answer by checkley77(12569)

 Question 159667: A chemist has one solution that is 25% acid and a second that is 50% acid. How many liters if each should be mixed to 10 L of a solution that is 40% acid? Click here to see answer by checkley77(12569)

 Question 159683: Dr.D.Jones has a total of \$3000 invested in two stocks. Stock A pays dividends at the rate of 6% and stock B at the rate of 8%. If her dividends from the two stocks total \$220 per year, how much did she invest in each stock? ( include let statements and show work ) Click here to see answer by ankor@dixie-net.com(15622)

 Question 159787: Please I have put this question up several times and no one has given me an answer. A manufacturer produces two models of the same toy, Model A and Model B. Model A takes 4 hours to produce and costs \$8 each. Model B takes 3 hours to produce and costs \$7 each. If the manufacturer allots a total of 5800 hours and \$12,600 for production each week, how many of each model will be produced? Please show the steps. Thank you Click here to see answer by ankor@dixie-net.com(15622)

 Question 159979: About 4.9 million households had one brand of personal computers in 2001. The use of these computers grew at an average rate of .275 million households a year. In 2001, about 2.5 millions households used another type of computer. The use of these computers grew at an average rate of .7 million households a year. How long will it take for the two types of computers to be in the same number of households? Click here to see answer by stanbon(57203)

 Question 160079: Mr. Calvillo wants to enclose a rectangular are for a garden space of a given square footage. The length of the plot will vary inversely as the width. If he decides on a width of 28 feet, the garden will be 30 feet long. How long will a 45 foor wide garden be? Click here to see answer by jojo14344(1512)

 Question 160185: write a recursive formula for each of the following sequences. and find the 10th term. Use u1 for the first term given. a. 100, 150, 225, 337.5, 506.25... b. 73.4375, 29.375, 11.75, 4.7, 1.88... c. 80.00, 82.40, 84.87, 87.42, 90.04.... d. 208.00, 191.36, 176.05, 161.97 Click here to see answer by Edwin McCravy(8879)

 Question 160340: Find the total weight of the boxes of pecans in a shipment of 3 pound boxes of pecans and 2 pound boxes of walnuts. (1) There were 24 fewer 2 pound boxes of walnuts than 3 pound boxes of pecans. (2) The total weight of the shipment was 462 pounds. Click here to see answer by checkley77(12569)

 Question 160423: 311 Tickets sold for a total of 385.50. student tickets = .50 and non students cost 1.50. How many of each were sold ? I don't know where to begin Click here to see answer by checkley77(12569)
 Question 160423: 311 Tickets sold for a total of 385.50. student tickets = .50 and non students cost 1.50. How many of each were sold ? I don't know where to begin Click here to see answer by scott8148(6628)

 Question 160558: the sum of the digits of a two-digit number is 11. If the digit is reversed, the new number increased by 20 is twice the original number. Find the original number. Click here to see answer by stanbon(57203)

 Question 160574: determine the equation of line that is parallel to y=-2x-2 and has the same y intercept as y=-x+5 Click here to see answer by nerdybill(6948)

 Question 160627: The sum of three consecutive odd integers is 51. What are the integers? Click here to see answer by jojo14344(1512)

 Question 160626: The difference of three times a number and 5 is 40. Find the number. Click here to see answer by jojo14344(1512)

 Question 160809: since the beginning of the month, a local reservoir has been losing water in a linear fashion. On the 12th of the month the resrviour held 200 million gallons of water, and on the 21st of the month it held only 164 million gallons. Assuming this continues, express the number of gallons as a function of time,t, where t is the number of days elapsed since the beginning of the month. Determine when the tank will be empty. Click here to see answer by vleith(2825)
 Question 160809: since the beginning of the month, a local reservoir has been losing water in a linear fashion. On the 12th of the month the resrviour held 200 million gallons of water, and on the 21st of the month it held only 164 million gallons. Assuming this continues, express the number of gallons as a function of time,t, where t is the number of days elapsed since the beginning of the month. Determine when the tank will be empty. Click here to see answer by AksharTech(1)

 Question 160789: please help me solve the problem. Thank you! the units digits of a two-digit number is 3 more than twice the tens digit. If the digits are reversed, the new number is 9 less than 4 times the original number. Find the original number. Click here to see answer by ankor@dixie-net.com(15622)

 Question 160954: A 60 kg skier is pulled by a rope up a frictionless slope that is inclined at an angle of 20 degree with the horizontal. The rope pulls parallel to the slope and has a tension of 230N. Calculate the skier's acceleration. Click here to see answer by Fombitz(13828)

 Question 160953: a 20 kg is pulled on a horizontal frictionless surface by a rope that makes an angle of 37 degree with the horizontal. Calculate the tension in the rope if the block accelerates at 2m/s2. Click here to see answer by Fombitz(13828)

 Question 161099: Hockey teams receive 2 points when they win and 1 point when they tie. One season, a team won a championship with 54 points. They won 12 more games than they tied. How many wins and how many ties did the team have? HOw many wins did the team have? How many ties did the team have? Click here to see answer by checkley77(12569)

 Question 161314: hi please help me with this problem: The sum of two numers is -17. If one number is one less than three times the other, find the numbers. Click here to see answer by schrammbledeggs(41)

 Question 161317: Hey can someone please help me with this problem: The difference between two numbers is 14. If the smaller is multiplied by 5, the result is 2 greater than the larger number. Find the numbers Click here to see answer by stanbon(57203)

 Question 161203: The Everton College store paid \$1792 for an order of 48 calculators. The store paid \$8 for each scientific calculator. The others, all graphing calculators, cost the store \$52 each. How many of each type of calculator was ordered? The store ordered ____ scientific calculators The store ordered ____ graphing calculators Click here to see answer by judysvaz(1)

 Question 161318: Please help with this problem: The sum of two numbers is 17. If the larger is two more than twice the smaller, find the numbers. Click here to see answer by jojo14344(1512)

 Question 161398: Kay spends 250 min/wk exercising. her ratio of time spent on aerobics to time spent on weight training is 3 to 2. How many minutes per week does she spend on aerobics? How many minutes per week does she spend on weight training? Click here to see answer by checkley77(12569)

 Question 161397: On a canoe trip, Rita paddled upstream (against the current)at an avrage speed of 2 mi/hr relative to the riverbank. On the return trip down stream (with the current), her average speed was 3 mi/hr. Find Rita's paddling speed in still water and the speed of the river's current. Click here to see answer by checkley77(12569)

 Question 161472: Moolah has 27 coins that are all dimes and quarters. The value of th coins is \$4.35. How many dimes and how many quarters does Moolah have? Click here to see answer by checkley77(12569)
 Question 161472: Moolah has 27 coins that are all dimes and quarters. The value of th coins is \$4.35. How many dimes and how many quarters does Moolah have? Click here to see answer by Alan3354(30924)
 Question 161472: Moolah has 27 coins that are all dimes and quarters. The value of th coins is \$4.35. How many dimes and how many quarters does Moolah have? Click here to see answer by nerdybill(6948)

 Question 161499: The larger of two numbers is 11 more than twice the smaller. The sum of the numbers is 1 less than seven times smaller. Find the numbers. Click here to see answer by gonzo(654)

 Question 161501: Pop's Cycle Shop sells bicycles and tricycles. The number of bicycles is 1 less than 5 times the number of tricycles. All the bicycles and tricycles together have a total of 154 wheels. How many bicycles are there? Click here to see answer by gonzo(654)

 Question 161497: Toga flew her ultralight plane to a landing field 24 mi away. with the wind, the flight took 2/5 h. Returning against the wind, the flight took 3/4 h. Find the rate of the plane in still air and the rate of the wind. Click here to see answer by checkley77(12569)

 Question 161535: togo flew his ultralight plane to a landing field 30 mi away. With the wind, the flight took 3/5h. Returning against the wind, the flight took 5/6h. Find the rate of the plane in still air and the rate of the wind. Click here to see answer by checkley77(12569)
 Question 161535: togo flew his ultralight plane to a landing field 30 mi away. With the wind, the flight took 3/5h. Returning against the wind, the flight took 5/6h. Find the rate of the plane in still air and the rate of the wind. Click here to see answer by gonzo(654)

 Question 161534: togo flew his ultralight plane to a landing field 30 mi away. With the wind, the flight took 3/5h. Returning against the wind, the flight took 5/6h. Find the rate of the plane in still air and the rate of the wind. Click here to see answer by checkley77(12569)

 Question 161568: Pop's Cycle Shop sells bicycles and tricycles. The number of bicycles is 1 less than 4 times the number of tricycles. All the bicycles ans tricycles together have a total of 174 wheels. How many bicycles are there? Click here to see answer by jojo14344(1512)

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