# 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 86599: Solve the following word problems. Be sure to show the equation you use for the solution 56) Science and medicine. A bus leaves a station at 1 P.M., traveling west at an average rate of 44 mi/h. One hour later a second bus leaves the same station, traveling east at a rate of 48 mi/h. At what time will the two buses by 274 mi apart? Click here to see answer by stanbon(57412)

 Question 86620: the sum of 3 numbers is 5. the first number minus the second plus the third is. the first minus the third is 3 more than the second. find the numbers Click here to see answer by Edwin McCravy(8918)

 Question 86664: Amy wants to fence in a garden whose length is 2m more than twice its width . What is the greatest width her garden can be, if she has at most 70 m of fencing? I set it up like this but am not sure if it is right or how to finish it: let w = width 2w + 2 = length lw < 70 (2w +2) (w) < 70 2w squared + 2w - 70 < 0 Thank you for your help! Click here to see answer by scott8148(6628)

 Question 86838: solve and check thank you Anna has 12 bills in her wallet, some \$5 and some \$10. The total value of the bills is \$100. How many of each bill does Anna have? Click here to see answer by ptaylor(2048)

 Question 86849: solve and check One number is 6 more than another. If the sum of the smaller number and 3 times the larger number is 34, find the two numbers Click here to see answer by ankor@dixie-net.com(15663)

 Question 86937: Consider the function P(x)=x(30-x). Is this function odd, even or neither? What do you expect if you graph this function? Click here to see answer by stanbon(57412)

 Question 86850: solve and check Identify the rate, base, and amount in the following application. In a class of 25 students, 8 received a grade of A. What percent of the students received A's? Click here to see answer by pg2000in(2)

 Question 87146: the denominator of a fraction exceeds the numerator by 1. If 4 is added to the numerator and 3 is subtracted from the denominator, the result is 7. Find the original fraction. I'm getting x+4/(x+1)-3. Is this even right and if it is what do I do now? Click here to see answer by Earlsdon(6287)

 Question 87215: Given the formula from physics, v=v1 +v2/1+v1v2/c^2, solve for v2. Click here to see answer by Nate(3500)

 Question 87214: Find the distance between the points (-3,5) and (9,-11). Click here to see answer by jim_thompson5910(28598)

 Question 87216: Your maximum exercise heart rate M is given by the formula M = 0.85(220-a), where "a" is your age. What is the age of someone who has a maximum exercise heart rate of 133? Click here to see answer by checkley75(3666)
 Question 87216: Your maximum exercise heart rate M is given by the formula M = 0.85(220-a), where "a" is your age. What is the age of someone who has a maximum exercise heart rate of 133? Click here to see answer by bucky(2189)

 Question 87419: A bottle of wine with a cork cost \$2.10. A bott of wine without a cork costs \$2.00 more than the cork. What is the price of the cork? Click here to see answer by ankor@dixie-net.com(15663)

 Question 87555: The sum of two numbers is 48. The difference between three times the smaller number and the larger number is 16. Find the numbers. Click here to see answer by checkley75(3666)

 Question 87707: The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 4 cm, what are the dimensions (the length and the width) of the rectangle? Click here to see answer by stanbon(57412)

 Question 87709: The demand equation for a certain type of printer is given by D= -200p + 35,000 The supply equation is predicted to be S= -p^2+400p-20,000 Find the equilibrium price. Click here to see answer by stanbon(57412)

 Question 87708: The equation h=-16t^2+112t gives the height of an arrow, shot upward from the ground with an initial velocity of 112ft/s, where t is the time after the arrow leaves the ground. Find the time it takes for the arrow to reach a height of 180 ft. Click here to see answer by tutorcecilia(2152)

 Question 87754: a truck can be rented from Basic Rental for \$50 per day plus \$0.20 per mile. Continental chargers \$20 per day plus \$0.50 per mile to rent the same truck. How many miles must be driven in a day to make the rental cost for Basic Rental better deal than Continenal's? Click here to see answer by stanbon(57412)

 Question 87794: the cost of a long distance telephone call is 36 cents for the 1st minute and 21 cents for each additional minute or portion thereof. write an inequality representing the number of minutes a person could talk without exceeding \$3. the length of a rectangular playing field is 5 feet less than twice its width. if the perimeter of the playing field is 230 feet find the length and width of the field. Click here to see answer by malakumar_kos@yahoo.com(315)

 Question 87907: can you help me with this problem with slopes Click here to see answer by rapaljer(4667)

 Question 87908: determine rather the lines through each pair of point are parallel (2,-2) and (-8,10) (-7,-1) and (-2,5) Click here to see answer by checkley75(3666)

 Question 87928: How can you prove that a point (x, y) is not located on a line of a given equation. Show example to explain. Click here to see answer by stanbon(57412)

 Question 87618: there are 850 douglas fir and ponderosa pine trees in a section of the forest brought by sawz logging company. the company paid an average of \$300 for each douglas pine and \$250 for each ponderosa pine. if the company paid \$217,500 for the tress how many of each kind did the company buy? Click here to see answer by stanbon(57412)

 Question 88236: Three times a first number minus the second number is 20. The sum of the two numbers is 48. Find the two numbers. Click here to see answer by jim_thompson5910(28598)

 Question 88017: A manufacturer produces both two-slice and four-slice toasters. The two-slice toaster takes 6 h of labor to produce and the four-slice toaster 10 h. The labor available is limited to 300 h per week, and the total production capacity is 40 toasters per week. Write a system of inequalities representing this situation. Then, draw a graph of the feasible region, given these conditions, in which x is the number of two-slice toasters and y is the number of four-slice toasters. Click here to see answer by ankor@dixie-net.com(15663)

 Question 88433: A girl buys three apples and seven oranges for \$4.56. If an orange costs \$0.28 more than an apple, how much does each fruit cost? Click here to see answer by stanbon(57412)

 Question 88485: Bob invested \$20,000, part at 14% and part at 13%. If the total interest at the end of the year is \$2, 720, how much did he invest at 14%? Click here to see answer by jim_thompson5910(28598)

 Question 88484: Adult tickets for a play cost \$11 and the child tickets cost \$10. If there were 23 people at a performance and th theater collected \$246 from tickets sales, how many children attended the play? Click here to see answer by jim_thompson5910(28598)

 Question 88492: The length of a rectangle is 5 in more than twice its width. If the perimeter of the rectangle is 52 in., find the width of the rectangle. Click here to see answer by ankor@dixie-net.com(15663)

 Question 88578: An employee who produces x units per hour earns an hourly wage of y = 0.55x + 12 (in dollars) Find the hourly wage for an employee who produces 20 units per hour Click here to see answer by SandySharma(35)

 Question 88577: A roof rises 7.5 ft over a horizontal distance of 12.27 ft. What is the slope of the roof to the nearest hundredth? Click here to see answer by SandySharma(35)

 Question 88741: Solve using system of equations (elimination method) show all work Click here to see answer by malakumar_kos@yahoo.com(315)

 Question 88791: The length of a rectangle is 3in. more than the width. The perimeter of the rectangle is 24in. Click here to see answer by praseenakos@yahoo.com(507)

 Question 88946: How would I solve this? Thank You Adult tickets for a play cost \$4 and child tickets cost \$1. If there were 23 people at a performance and the theater collected \$80 from ticket sales, how many children attended the play? Click here to see answer by tutor_paul(490)

 Question 88938: In most businesses, increasing prices of products can negatively impact the number of customers. A bus company in a small town has an average number of riders of 800 per day. The bus company charges \$2.25 for a ride. They conducted a survey of their customers and found that they will lose approximately 40 customers per day for each \$.25 increase in fare. a) Let the number of riders be a function of the fare charged. Graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), and find the slope of the graph. Graph: Graph Type: What is the slope of the graph? b) The bus company has determined that even if they set the price very low, there is a maximum number of riders permitted each day. If the price is \$0 (free), how many riders are permitted each day? Answer: Show work in this space: c) If the bus company sets the price too high, no one will be willing to ride the bus. Beginning at what ticket price will no one be willing to ride the bus? Answer: Show work in this space: Click here to see answer by ankor@dixie-net.com(15663)

 Question 89194: Please help with this construction word problem-- A garden area is 30ft.long and 20 ft. wide. A path of uniform width is set around the edge. If the remaining garden area is 400 ft., what is the width of the path? Thank you! Click here to see answer by ptaylor(2048)

 Question 89377: a) Set up an equation for the perimeter involving only L, the length of the rectangle. Suppose that the width of a rectangle is 5 inches shorter than the length and that the perimeter of the rectangle is 50. b)Solve this equation algebraically to find the length of the rectangle. Find the width as well Click here to see answer by checkley75(3666)