# 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 315276: Could you please help me with this problem? Lester measured the lenght of the street light's shadow to be 40 feet. Lester is 6 feet tall and his shadow'slength was measured to be 4 feet long at the same time of day. How tall is the street light post? Click here to see answer by solver91311(16868)

 Question 315403: According to U.S. Department of Education statistics, in the year 1998, tuition at a public four-year college averaged \$7,397 per year and increased at an average rate of \$628 per year over the next several years. a.)Model this situation by a linear equation. Explain what your variables mean. b.)Use the equation to estimate the yearly tuition at a four-year public college in the year 2011. Briefly explain how you solved this problem. Click here to see answer by stanbon(57224)

 Question 315601: SOLVE THE PROBLEM BY USING A SYSTEM OF THREE EQUATIONS IN THREE UNKNOWNS. The sum of the digits of a three-digit number is 11. If the digits are reversed, the new number is 46 more than five times the old number. If the hundreds digit plus twice the tens digit is equal to the units digit, then what is the number? Click here to see answer by ankor@dixie-net.com(15625)

 Question 315635: how many litters of 45% saline solution and 70 % saline solution should be mixed to obtain 75 liters of 55 % saline solution? Click here to see answer by josmiceli(9652)

 Question 315715: Choose two different positive numbers, then construct a system of two linear equations with two variables such that its solution consists of exactly the two chosen numbers. Explain your methid of creating the system and show proof indicating your solution is correct. Click here to see answer by stanbon(57224)

 Question 315745: The intensity (I) of a light source is inversely proportional to the square of the distance (d) from the source. If the intensity is 8 lumens at a distance of 6 m, what is the intensity when the distance is 4 m? Click here to see answer by stanbon(57224)

 Question 315799: on three consecutive passes, a football team gains 5 yards, losses 35 yards, and gains 26 yards. What number represents the total net yardage? Click here to see answer by checkley77(12569)

 Question 315805: You have \$6,800 dollars to spend and purchased 250 sets of dishes. How many \$20.00 per set can you purchased and how many \$45.00 per set can you purchased. Let x=number of \$20.00 sets Let y=number of \$45.00 sets Click here to see answer by josmiceli(9652)

 Question 315881: a student is trying to solve the equation (x + 10)(x - 10)=7. The student has set x + 7 and x - 10 = 7 and found that two solutions x=3, x=17. The student checks the results by plugging inthe solutions into the original equation and finds they do not work. How would you advise the student? Click here to see answer by Alan3354(30968)

 Question 316041: A traffic helicopter pilot finds that with a tailwind her 120 km trip away from the airport takes 30 min. On her return trip to the airport, into the wind, she finds that her trip is 10 min longer. What is the speed of the helicopter? What is the speed of the wind? Click here to see answer by mananth(12270)

 Question 316061: Ronald wants to sell his car through a broker who charges a commission of 10% of the selling price. Ronald still owes \$11,025 on the car. Ronald must get enough to at least pay off the loan. What is the range of the selling price? x-0.10x=11025 0.90x=11025 x=11025/.90 11025.9 Amount range needed; 12,127.6 Click here to see answer by stanbon(57224)

 Question 316322: I currently own a restaurant and am in the process of replenishing my stock of dishes. I need to purchase 250 sets of dishes for my restaurant and have found two designs I wish to order. One design costs \$20 per set and the other \$45 per set. I have budgeted \$6,800 to spend on the dishes, so how many of each will I order without going over budget? I can use addition, substitution, graphing or elimination...my problem is actually coming up with the 2 equations correctly. I keep getting decimals for answers and I do know they should be whole numbers for how many sets of each to order... HELP x = \$20 dishes and y = \$45 dishes 20x+45y=6800 20x+45y=250 Click here to see answer by jim_thompson5910(28476)

 Question 316376: I have two cell phone plans. first one is \$209.00 plus a monthly fee of \$34.00. The second is \$89.00 plus a monthly fee of \$42.00. At what month is the cost for each plan the same? M=number of months using the cell plan, and C= total cost for the cell plan. Click here to see answer by mananth(12270)

 Question 316396: A plane travesl 880 miles in 4 hours against the wind and 1000 miles in 2 hours with the same wind. Find the speed of the plane in still air and the speed of the wind. Click here to see answer by mananth(12270)

 Question 316412: 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. Solve for x and y, where x is the number of doll houses and y is the number of furniture sets that can be produced to optimize the operation. [Hint: Set up system of linear inequalities and find the intersection of the two items). Put your answer in the form of (x,y), where x is the number of doll houses to be produced and y is the number of sets of furniture to be produced. WOW these things kill me there has to be an easier way to do this than what I've been doing. I appreciate your help. Thanks Again Christopher Click here to see answer by stanbon(57224)

 Question 316258: You wish to replenish your stock of dishes by purchasing 250 sets for your restaurant. You have two dish designs from which to choose from. One design cost \$20 per set and the other \$45 per set. You only have \$6,800 to spend, how many of each design should you order. x=the number of \$20 dishes and y=the number of \$45 dishes. Could you help me solve each equation and explain how to check solutions for both equations? Click here to see answer by moshiz08(60)

 Question 316385: S= -3.5n^2+42n+45. S=number of thousands of dollars of sales in week n. When do you expect the sales to peak? What is the largest value for the sales during the week? During what week do we expect the sales to drop to zero? Click here to see answer by nerdybill(6948)

 Question 316432: A wire us stretched from the ground to the top of a pole. The wire is 34 ft long. The height of the pole is 14 ft greater than the distance d from the pole's base to the bottom of the wire. Find the distance d and the height of the pole. Click here to see answer by unlockmath(1599)

 Question 316441: Restaurant owner want to purchase 250 sets of dishes. He has two designs, one \$20 & \$45. I have \$6800 to spend. How many of each designs should I order? Please show step by step solutions for x & y. x = \$20 y = \$45 Thanks Click here to see answer by moshiz08(60)

 Question 316622: A coffee merchant has two types of coffee beans, one selling for \$3 per pound and the other selling for \$5 per pound. The beans are to be mixed to provide 100 lb of a mixture selling for \$4.18 per pound. How much of each type of coffee bean should be used to form 100 lb of the mixture? Click here to see answer by checkley77(12569)

 Question 316678: Indicate the equation of the given line in standard form The line containing the altitude to the hypotenuse of a right triangle whose vertices are P(-1,1), Q(3,5), and R(5,-5) PLEASE HELP Click here to see answer by solver91311(16868)

 Question 316596: barry invested \$2000, part at 8% annum and the rest at 10% annum. After one year the total interest earned was \$190. How much did he invest at each rate? please help, i have my exam tomorrow and i lost my note on this, Click here to see answer by mananth(12270)

 Question 316398: A food processing company sells frozen fish sticks, where y is the tons of fish sticks sold per month and p is the retail price in dollars per pound. The supply equation is : y= 50p = 50 The demand equation is: y=-75p + 400 Solve by graphing and determine the approximate price where supply equals demand. Interpret the solution point in the context of the problem. Click here to see answer by Fombitz(13828)

 Question 316885: Customers of a phone company can choose between two service plans for long distance calls. The first plan has a \$26 one-time activation fee and charges 7 cents a minute. The second plan has no activation fee and charges 12 cents a minute. After how many minutes of long distance calls will the costs of the two plans be equal? Click here to see answer by nerdybill(6948)
 Question 316885: Customers of a phone company can choose between two service plans for long distance calls. The first plan has a \$26 one-time activation fee and charges 7 cents a minute. The second plan has no activation fee and charges 12 cents a minute. After how many minutes of long distance calls will the costs of the two plans be equal? Click here to see answer by solver91311(16868)

 Question 316807: in 645 351 265, how much greater is five in the millions place than the five in the ones place? Click here to see answer by Theo(3458)

 Question 316913: Consider the following list of test scores: 98,70,32,48,71,80,85,50,46,71 For this data, find each of the following. Round to the nearest tenth when necessary (a) the mean (b) the median (c) the mode (d) the range Click here to see answer by Fombitz(13828)

 Question 316958: The Fussy Food SHop makes a gourmet low-fat blend of pretzels and potato chips. If he cost of the pretzels is \$2.40 per pound and the cost of poraro chips is \$3.40 per pound, how many pounds of pretzels and how many pounds of potato chips should be used to make a 2 pound blend that costs \$3 per pound? Click here to see answer by checkley77(12569)

 Question 316956: Emma had \$1,000 to invest last year. She invested some in a guaranteed 9% interest account. She put the rest in a riskier account and ended up losing 5% on the investment. If by the end if the year she had made \$9.50 as a result of both investments, how much did she invest in each account? Click here to see answer by checkley77(12569)

 Question 316951: A chef need milk that is 2% butterfat for her recipe. How many quarts of milk that is 4% butterfat and how many quarts of milk that is 1% butterfat must she combine to make 6 quarts of milk that is 2% butterfat? Click here to see answer by mananth(12270)

 Question 317019: The larger of two consecutive integers is 7 greater than twice the smaller. Find the integers. Click here to see answer by checkley77(12569)

 Question 317017: Solve this problem on paper using all four steps. Ted weighs twice as much as Julie. Mike weighs three times as much as Julie. Together, Ted, Mike, and Julie weigh 210 lbs. What is the weight of each person? Julie weighs pounds, Ted weighs pounds, and Mike weighs pounds. Click here to see answer by mananth(12270)
 Question 317017: Solve this problem on paper using all four steps. Ted weighs twice as much as Julie. Mike weighs three times as much as Julie. Together, Ted, Mike, and Julie weigh 210 lbs. What is the weight of each person? Julie weighs pounds, Ted weighs pounds, and Mike weighs pounds. Click here to see answer by JBarnum(2044)

 Question 317015: Solve this problem on paper using all four steps. A girl scout troop sold cookies. If the girls sold 5 more boxes the second week than they did the first, and if they doubled the sales of the second week for the third week to sell a total of 431 boxes of cookies, how many did they sell each week? Click here to see answer by mananth(12270)
 Question 317015: Solve this problem on paper using all four steps. A girl scout troop sold cookies. If the girls sold 5 more boxes the second week than they did the first, and if they doubled the sales of the second week for the third week to sell a total of 431 boxes of cookies, how many did they sell each week? Click here to see answer by JBarnum(2044)

 Question 317016: A man divided \$9,000 among his wife, son, and daughter. The wife received twice as much as the daughter, and the son received \$1,000 more than the daughter. How much did each receive? If x is the amount the wife received, then which of the following expressions represents the amount received by the son? Click here to see answer by JBarnum(2044)

 Question 317014: Solve the following problem. Be sure to show all steps (V.E.S.T.) The sum of three numbers is 26. The second number is twice the first and the third number is 6 more than the second. Find the numbers. Click here to see answer by rfer(12646)

 Question 317340: elaine's height is 67 inches. Determine in terms of an inequality, those weights W that will keep her body mass index below 25. Do not know what to start with an equation Click here to see answer by Alan3354(30968)
 Question 317340: elaine's height is 67 inches. Determine in terms of an inequality, those weights W that will keep her body mass index below 25. Do not know what to start with an equation Click here to see answer by robinsonsheila@att.net(1)

 Question 317353: Need help solving other problems. I never know where to start with forming an equation. 1. Investing 30,000, part at 5% and the rest at 10%. What is the most I can invest at 5% and still be guaranteed at least \$2000 in interest per year? 2. If I can be paid for my skills in one of two ways, with 2 different plans. Plan A: pays \$300 plus \$9.00 per hour. Plan B: Straight \$12.50 per hour Now suppose that the job takes n hours. For what value of n is plan b better for me. Please just explain how to figure out the equations, I would like to solve the equation myself if possible. Click here to see answer by stanbon(57224)

 Question 317424: find the indicated intersection or union q,s,u,v,w,x,y,z s Click here to see answer by Fombitz(13828)

 Question 317348: Need help solving this algebra problem: a long distance telephone call cost 10 cents for the first minute and 8 cents for e additional minute. the same call on long call systems cost 16 cents for the first minute and 6 cents for each additional minute. for what length phone calls is down east calling less expensive? Click here to see answer by Fombitz(13828)

 Question 317298: Consider the formula F(c) = 1.8c + 32, where c is the temperature in degrees Celsius and F(c) is the temperature in degrees Fahrenheit. If it is 0° C at the beginning of the day, and it is 11° C at noon, what was the change in temperature in degrees Fahrenheit? Click here to see answer by rfer(12646)

 Question 317673: When the son will be as old as father today, their ages will add up to 126 years. When the father was as old as the son is today, their ages add to 38 years. Find their present ages. Click here to see answer by texttutoring(324)

 Question 317630: A farmer has 100 animals consisting of cows, pigs and chickens. He takes the animals to market and sells all of them for \$100. He sells cows for \$10 He sells pigs for \$3 He sells chickens 2 for \$1 How many of each animal does he sell? (no 1/2 animals) I came up with x+y+z=100 animals... and 10x+3y+0.5z=100 dollars I believe this needs another equation but I cannot figure it out. Also we are working with arbitrary numbers in class. Thank You! Scott M. Click here to see answer by ankor@dixie-net.com(15625)

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