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 28421: A boat travels 45 mi upstream(against the current) in 5 h.The boat travels the same distance downstream in 3 h.What is the rate of the boat in still water?What is the rate of the current? Click here to see answer by Paul(988)

 Question 28492: PLEASE HELP ASAP:Flying against the jetstream, a jet travels 4240km in 8 hours. Flying with the jetstream, the plane travels 2910km in 3 hours. What is the speed of the jet in still air, and what is the speed of the jetstream? Thank you so much Click here to see answer by Paul(988)

 Question 28493: PLEASE HELP ASAP: In a family there are two cars. In a given week, the first car gets an average of 30 miles per gallon, and the second car gets 25 miles per gallon. The two cars combined drive a total of 1700 miles in that week, for a total gas consumption of 60 gallons. How many gallons were consumed by each of the two cars that week? Thank you very much Click here to see answer by josmiceli(9697)

 Question 28430: Please help with the following problem: Angelica's financial aid stipulates that her tuition not exceed \$1000. If her local community college charges a \$35 registration fee plus \$375 per course, what is the greatest number of course for which Angelica can register? Solve to an inequality. Thanking you in advance. Click here to see answer by LilSkittleMd(119)

 Question 28677: Anyone out there, please help me with this word problem. Thanks! A small company produces both doll houses and sets of doll furniture. The doll houses take 3 hours of labor to produce, and the furniture sets take 8 hours. The labor available is limited to 400 hours per week, and the total production capacity is 100 items per week. Existing orders require that at least 20 doll houses and 10 sets of furniture be produced per week. Write a system of inequalities representing this situation, where x is the number of doll houses and y is the number of furniture sets. Identify 2 points that satisfy the inequalities. Click here to see answer by stanbon(57422)

 Question 28822: The measure of the second angle of a triangle is 12 degrees greater then three times the first angle. The measure of the third angle is 6 degrees less than twice the measure of the second angle. What are the measures of the three angles? Thanks so much!!! Click here to see answer by sdmmadam@yahoo.com(530)

 Question 28821: A pipe that is 325 ft. long is cut into three pieces. The first piece is one foot shorter then twice the second, and the third piece is four times as long as the other two pieces combined. How long are each of the pieces. thanks!!! (i'm going to hit my limit today) lol Click here to see answer by xcentaur(357)

 Question 28820: Find three consecutive even integers such that the sum of three times the first integer, one-third the second integer, and eight times the third integer is -58 Click here to see answer by xcentaur(357)

 Question 28812: The chemistry department at a local college decides to stock at least 800 small test tubes and 50 large test tubes. It wants to buy at least 1500 test tubes to take advantage of a specal price. the department will order at least twice as many small tubes as large. What would the equations be for this from? I am confused about the equations. Click here to see answer by stanbon(57422)

 Question 28925: The sum of four times a number and 5 is equal to the difference of twice the number and 7. Find the number. This has to be shown as an algebra problem and I have no idea how to go about this. Click here to see answer by stanbon(57422)

 Question 28989: On the basis of current legislation, if you earned an average salary of \$25,000 over your working life and you retire after the year 2005 at age 62,63, or 64, then your annual Social Security Benefit will be \$7000, \$7500, or \$8000, respectively (Social Security Administration, www.ssa.gov). Write a formula that gives annual benefit as a linear function of age of these three ages. Click here to see answer by stanbon(57422)

 Question 29014: Please help with the following word problem. "Trains at each end of the 50.0-km long Eurotunnel under the English Channel start at the same time into the tunnel. Find their speeds if the train from France travels 8.0-km/h faster than the train from England and they pass in 17.0 min" I know I need to use the formula d=rt, but not sure how to write the equation to solve it. Thank you, Jackie Click here to see answer by josmiceli(9697)

 Question 29112: Thanks for your help, I am having lots of problems with this. 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 as student tickets we sold, then how many of each were sold? Click here to see answer by Paul(988)

 Question 29166: b+m=8 and 51b+8m=193. Give a word problem for it. Click here to see answer by venugopalramana(3286)

 Question 29113: Two Tests Only. Professor Davis counts his midterm as 2/3 of the grade, and his final as 1/3 of the grade. Jason scored only 64 on the midterm. What range of scores on the final exam would put Jason’s average between 70 and 79 inclusive Click here to see answer by checkley72(6)

 Question 29211: Rewrite the equation y = 4x – 1 as a function of x. Click here to see answer by bmauger(101)

 Question 29382: Please help. I am in the dark and I am counting my change. I can't turn on the light so I try to figure out how much money I have. I know that \$2.50 in change, but I am going to the laundry so I need quarters. I remember that I have 3 dimes and that the rest are quarters and nickels. I count my money, and I have 19 coins. How many quarters and how many nickels do I have? Thank you for your time. ☺ Click here to see answer by Nate(3500)

 Question 29466: This is confusing me. Maybe it is the percents in the problem. We are encouraged to use substitution or elimination to solve this. I tried to set it up...but I am so confused. Here is the problem: On the first day of school, the percentage of boys in a class is 60%. In the middle of the year 6 girls move away and are replaced by 6 boys. This makes the roster now 75% boys. Find the number of boys and girls in the class on the first day of school. Thanks for your help! Click here to see answer by venugopalramana(3286)

 Question 29673: 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 sdmmadam@yahoo.com(530)

 Question 29603: The total of two numbers is 16. The first number plus 2 more than 3 times the second equals 18. I'm not sure on this one but I gave it a shot 4x + 12y = 16 If you add the first number which is 4 plus 2 more = 4+2 = 6 x 3 = 18 Click here to see answer by Cintchr(481)

 Question 28935: Carla uses the equation below to determine the fee she charges for a babysitting job. In the equation, f stands for her total fee, and h stands for the number of hours she works. F = 5h+4 How many hours will Carla have to work to make more than \$15 but less than \$20(your answer should be a whole number.) Explain Click here to see answer by ikdeep(226)

 Question 30121: Let n represent any natural(counting)number. Explain why it makes sense to declare both n+0 and 0+n equal to n. Click here to see answer by ikdeep(226)

 Question 30131: A pot contains 6 L of brine at a concentration of 120 g/L. How much of the water should be boiled off to increase the concentration to 200 g/L? Click here to see answer by Paul(988)

 Question 30377: The grocer has peanuts for \$3.75 a pound and walnuts for \$2.75 a pound. How much of each must we mix to get 40 pounds of mixture to sell for \$3.00 per pound. Click here to see answer by Paul(988)

 Question 30397: A BOAT TRAVELS DOWNSTREAM AT 37MI/H. THE SAME BOAT TRAVELS UPSTREAM AT 17MI/H. FIND THE RATE OF THE CURRENT. Click here to see answer by checkley71(8403)

 Question 30524: I think I know the answer but can't get the formula right. HELP!!! From a group of boys and girls, fifteen girls leave. Twice as many boys as girls are left. Then forty-five boys leave. Five times as many girls as boys remain. How many boys and girls were in the initial group? Click here to see answer by josmiceli(9697)
 Question 30524: I think I know the answer but can't get the formula right. HELP!!! From a group of boys and girls, fifteen girls leave. Twice as many boys as girls are left. Then forty-five boys leave. Five times as many girls as boys remain. How many boys and girls were in the initial group? Click here to see answer by checkley71(8403)

 Question 30576: A circus clown at the top of a 60-foot platform is playing catch with another clown on the ground. The clown on the platform drops a ball at the same time as the one on the ground tosses a ball upward at 80 ft/sec. For what length of time is the distance between the balls less than or equal to 10 feet? Hint: the initial velocity of a ball that is dropped is 0 ft/sec. The formula for the height S in feet above the earth at a time t seconds for an object projected into the air with an initial velocity of v ft/sec from an initial height of s0 is: S = -16t2 + v0t + s0 Click here to see answer by Fermat(127)
 Question 30576: A circus clown at the top of a 60-foot platform is playing catch with another clown on the ground. The clown on the platform drops a ball at the same time as the one on the ground tosses a ball upward at 80 ft/sec. For what length of time is the distance between the balls less than or equal to 10 feet? Hint: the initial velocity of a ball that is dropped is 0 ft/sec. The formula for the height S in feet above the earth at a time t seconds for an object projected into the air with an initial velocity of v ft/sec from an initial height of s0 is: S = -16t2 + v0t + s0 Click here to see answer by venugopalramana(3286)

 Question 28676: Pleeeeeeease help. A small company produces both bouquets and wreaths of dried flowers. The bouquets take 1 hour of labor to produce, and the wreaths take 2 hours. The labor available is limited to 80 hours per week, and the total production capacity is 60 items per week. Write a system of inequalities representing this situation, where x is the number of bouquets and y is the number of wreaths. Identify 2 points that satisfy the inequalities. Click here to see answer by checkley71(8403)

 Question 29012: I hope you can help me. I am having a little trouble with this word problem. " A ski lift takes a skier up a slope at 50m/min. The skier then skis down the slope at 150m/min. If one round-trip takes 24 min, how long is the slope?" I know I need to use the formula of d=rt, but I'm not sure how to write out the equation. Thank you, Jackie Click here to see answer by checkley71(8403)

 Question 30612: I am completing a project dealing with systems of equations. I have not been able to find any examples of using multiplication. I have found both addition and subtraction, but no multiplication. Could you provide me with a couple of examples or a website in which I could find these? Click here to see answer by Fermat(127)

 Question 30635: Arrival time: Jeff and Carla are driving separately from San Luis Obispo California to the north shore of Lake Tahoe, a distance of 325 miles. Jeff leaves San Luis Obispo at 11:00am and averages 55 miles per hour on the drive, Carla leaves later at 1:00pm but averages 65 miles per hour. Which person arrives in Lake Tahoe first? I need to know how to write the equation after that I think I can solve it problem. Click here to see answer by Paul(988)

 Question 30691: Here is the word problem I have been working on and not getting: A baseball player has a batting average of .320 with 192 hits in 600 bats. His average against left-handed pitching is .250. Against right-handed pitching it is .350. How many times did he bat against left-handers? I'm not sure what is the quantity, rate or time. thanks. Click here to see answer by checkley71(8403)

 Question 30729: a boat travels upstream for 32 miles in 2 hours.return trip at same constant speed with the same current only taking 1 hour and 36 mins.what is the speed of the boat and the speed of the current? Click here to see answer by ikdeep(226)

 Question 30730: a mississippi steam boat travels downstream a distance if 240 miles in 8 hrs.if it can travel the same distance upstream in 10 hrs,find the rate of the current and the rate of the boat in still water Click here to see answer by ikdeep(226)

 Question 30887: The paths of two ships are tracked on the same coordinate system. One ship is following a path described by the equation 4x + 5y = 20 , and the other is following a path described by the equation y = 4/5x -6 . What are the coordinates of the collision point? Enter your answer as an ordered pair Click here to see answer by longjonsilver(2297)

 Question 30890: A stamp collection consists of .06; .13;and .18 stamps. There are 26 stamps in the collection and there are twice as many .13 stamps as there are .06 stamps. The total value of the stamps in the collection is \$2.92. find the number of .18 stamps in the collection. Click here to see answer by mbarugel(146)

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