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

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> Questions on Word Problems: Linear Equations And Systems Word Problems answered by real tutors!      Log On

 Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo . Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Linear Solvers Practice Answers archive Word Problems Lessons In depth

 Question 83521: A small company roduces both standard and deluxe playhouses. The standard playhouses take 12 hours of labor to produce, and the deluxe playhouses take 20 hours. The labor available is limited to 800 hoursper week, and the total production capacity is 50 items per week. Existing orders require the company toproduce at least 10 standard playhouses and 15 deluxe playhouses per week. Write a system of inequalities representing this situation, where x is the nuber of standard playhouses and y is the number of deluxe playhouses. Multiply (-2.5)(20) Click here to see answer by stanbon(57361)

 Question 83543: write the equatio of the line with slope -2 and y-intercept (0,0). Then the graph the line. Solve the following system of linear inequalities by graphing. 3x+4y<12 X+3y<6 x>0 y>0 Click here to see answer by ankor@dixie-net.com(15656)

 Question 83815: An professor finds that the number of students enrolling in his class is approximated by s(t) = -tsquared + 20t + 80 where t is the number of tests given in one semester. (a) How many tests should the professor give so that the number of students enrolling in the class is a maximum? (b) If the professor does not want students to enroll, how many tests should he give? Click here to see answer by stanbon(57361)
 Question 83815: An professor finds that the number of students enrolling in his class is approximated by s(t) = -tsquared + 20t + 80 where t is the number of tests given in one semester. (a) How many tests should the professor give so that the number of students enrolling in the class is a maximum? (b) If the professor does not want students to enroll, how many tests should he give? Click here to see answer by Edwin McCravy(8909)

 Question 83879: Jordan's salary is \$1250 a month plus a 5% commission on all his sales. What must the amount of his sales be to earn at least \$1500 each month? Click here to see answer by Nate(3500)
 Question 83879: Jordan's salary is \$1250 a month plus a 5% commission on all his sales. What must the amount of his sales be to earn at least \$1500 each month? Click here to see answer by stanbon(57361)

 Question 83991: Please show me the way.. A restaurant determined that it's monthly cost function is given by C=3000=16q, where q is the number of dinners sold per month. q=1200-20p, where p is the price of the dinner. a) Solve for p in terms of q and write the revenue and profit as a function of q b) Find the break even point in terms of q. (the min and max # dinners/mo it can serve without losing \$) c) Write the cost, revenue and profit as functions of p and find breakeven points in terms of p. d) Determin range of prices for which the restaurant make a profit. I know this is alot, but I am lost. Any help is appreciated. Click here to see answer by ankor@dixie-net.com(15656)

 Question 84157: solve A defense attorney charges her client \$4000 plus 120 per hour. The formula R=120n+4000 gives her revenue in dollars for n hours of work. What is her revenue for 100 hours of work? What is her revenue for 101 hours of work? By how much did the one extra hour of work increase the revenue? Click here to see answer by checkley75(3666)
 Question 84157: solve A defense attorney charges her client \$4000 plus 120 per hour. The formula R=120n+4000 gives her revenue in dollars for n hours of work. What is her revenue for 100 hours of work? What is her revenue for 101 hours of work? By how much did the one extra hour of work increase the revenue? Click here to see answer by funmath(2925)

 Question 84057: Can someone please help me with these two problems i still can't figure them out. #3 A biologist recorded 9 snakes on 21 acres in one area and 13 snakes on 47 acres in another area. Let y be the number of snakes in x acres. Write a linear equation for the number of snake eyes. # 8 Midtown delievery service delievers packages which cost \$2.10 per package to deliever . The fixed cost to run the delievery truck is \$78 per day. If the company charges \$4.10 per package, how many packages must be delivered daily to make a profit of \$36? Click here to see answer by vertciel(183)

 Question 84209: 3. Jane invested some amount at the rate of 12% simple interest and some other amount at the rate of 10% simple interest. She received yearly interest of \$130. Randy also invested in the same scheme, but he interchanged the amounts invested, and received \$4 more as interest. How much amount did each of them invest at different rates? Click here to see answer by sofiyacherni(99)

 Question 84208: 2. A professor started a project with a group of students, 60% of whom were boys. Due to some unavoidable reasons, six girls couldn't turn up, so the professor had to make some changes in the group. He admitted six boys. In doing so, the percentage of boys in the project increased to 75%. Find the number of boys and girls involved in the project initially. Click here to see answer by PS(13)

 Question 84207: 1. An art dealer sold two artworks for \$1520 thereby making a profit of 25% on the first work and 10% profit on the other, whereas if he had approached any exhibition he would have sold them together for \$1535 with a profit of 10% on the first and 25% on the other artwork. Find the actual cost of each artwork. Click here to see answer by PS(13)

 Question 84228: A 500g slab of cheese is completely eaten by two mice. If Minnie had eaten twice as much as she did, and Mickey had eaten half as much as he did, there would have been 100g left. If Minnie = x and Mickey = y, use the information to get the 2 equations relating to x and y. Click here to see answer by venugopalramana(3286)

 Question 82217: There are two groups of birds, one bird ask one group "how many members are you in a group?" they replied "our number is half of the other group and the total number of members in two group plus you is 100. question: 1. how many birds are there in one group? 2. how many birds are there in onother group? Click here to see answer by vertciel(183)

 Question 84384: I need help writing all the steps into figuring out/solving this word problem: An HMO pamphlet contains the following recommended weight for women: Give yourself 100 pounds for the first 5 feet plus 5 pounds for every inch over 5 feet tall." Using this description, which height corresponds to an ideal weight of 135 pounds? Please help I am lost I don't know where to start. Click here to see answer by IamaangelXxX(5)

 Question 84383: I need help writing all the steps into figuring out/solving this word problem: An HMO pamphlet contains the following recommended weight for women: Give yourself 100 pounds for the first 5 feet plus 5 pounds for every inch over 5 feet tall." Using this description, which height corresponds to an ideal weight of 135 pounds? Please help I am lost I don't know where to start. Click here to see answer by IamaangelXxX(5)

 Question 84372: A small company produces both standard and deluxe playhouses. The standard playhouses take 12 hours of labor to produce, and the deluxe playhouses take 20 hours. The labor available is limited to 800 hours per week, and the total production capacity is 50 items per week. Existing orders require the company to produce at least 10 standard playhouses and 15 deluxe playhouses per week. Write a system of inequalities representing this situation, where x is the number of standard playhouses and y is the number of deluxe playhouses. Then graph the system of inequalities. Click here to see answer by scott8148(6628)

 Question 84459: A dealer pays \$6000 for a car. The dealer wants to make a profit that is 25% of the selling price. For how much should the dealer sell the car? Click here to see answer by checkley75(3666)

 Question 84903: There are a total of 500 Douglas fir and hemlock trees in a section of forest bought by Hoodoo Logging Co. The company paid an average of \$250 for each Douglas fir and \$300 for each hemlock. If the company paid \$132,000 for the trees, how many of each kind did the company buy? I am not sure how to start the equation Click here to see answer by ankor@dixie-net.com(15656)

 Question 84925: Plot the graphs of the following functions. f(x)=6x f(x)=3x - 2 f(x)=(1/2)x f(x)= log2x Click here to see answer by Nate(3500)

 Question 84924: Refer to the graph given below and identify the graph that represents the corresponding function. Justify your answer. y = 2x y = log2x **I cant get the graph to paste over! Any help please? Click here to see answer by mala_kumarkos@yahoo.com(10)

 Question 85003: Please help me with this question: If you earned an average of \$25,000 over your working life and you retire after 2005 at age 62, 63,or 64, then your annual SS benefit will be \$7,00, \$7500, or \$8,000 respectively. Find the linear equation that gives the annual benefit "b" in terms of age "a" Click here to see answer by stanbon(57361)

 Question 84983: Sorry there's no ISBN in the text book. Kindly solve this problem? 1. Ann's age is seven-tenths of bill's age. In 4 years Ann's age will be eight-elevenths of bill's age. How old is Bill now? 2. The ten's digit of a two-digit number is 3 more than the unit's digit. The number is 8 more than six times the sum of the digits. Find the number? 3 A, B, and C can finish the job in 6 days. If B & C work together, the job will take 9 days; If A&C work together, the job will take 8 days. In how many days can each man working alone to do the job? Click here to see answer by stanbon(57361)
 Question 84983: Sorry there's no ISBN in the text book. Kindly solve this problem? 1. Ann's age is seven-tenths of bill's age. In 4 years Ann's age will be eight-elevenths of bill's age. How old is Bill now? 2. The ten's digit of a two-digit number is 3 more than the unit's digit. The number is 8 more than six times the sum of the digits. Find the number? 3 A, B, and C can finish the job in 6 days. If B & C work together, the job will take 9 days; If A&C work together, the job will take 8 days. In how many days can each man working alone to do the job? Click here to see answer by JonathanM(3)

 Question 85131: Sorry the text book has no ISBN. Please solve this Problem. 1. There are 220 barrels of cement in one shed and 510 in onother shed. How many barrels must be transferred from the second to the first shed so that the first shed will contain two-thirds as much as the second shed. Click here to see answer by checkley75(3666)

 Question 85268: Please help with this. Pat is 20 years older than his son Patrick. In two years Pat will be twice as old as Patrick. How old are they now? What I have so far is: Patrick's current age is X, Pat's Current age is X+20. In two years Patrick's age will be X+2 and Patrick's age will be X+20+2. So I tried X+2(Pat's future age)plus x+20+2(Patrick's future age) = 2X(Pat being twice the age of Patrick). Or X+2+X+20+2=2X which reduces to 2X+24=2X which gives 2X-2X=-24, or 0=-24. Which is not the right answer. The back of the book gives Pat's age as 38 and Patrick's as 18. Click here to see answer by stanbon(57361)

 Question 85304: Hello, I need help finding three consecutive integers such that the sum of the first and third is 84. Thanks Click here to see answer by checkley75(3666)

 Question 85305: Hello, I need help with this problem: If 500 sheets of paper weigh 7 lbs, how much do 2 sheets weigh? Thanks Click here to see answer by checkley75(3666)

 Question 85309: hey, this problem is also giving me trouble: if y varies inversely as x and y=-5 when x=12.5, find x when y=15. thanks Click here to see answer by josmiceli(9686)

 Question 85308: Hey, I don't get this problem at all: if y varies directly as x and y=12 when x=8, find y when x=-4. thanks Click here to see answer by josmiceli(9686)

 Question 85694: Crafts. Rose’s garden is in the shape of a trapezoid. If the height of the trapezoid is 16 m, one base is 20 m, and the area is 224 m2, find the length of the other base. Click here to see answer by checkley75(3666)

 Question 85696: Solve the following word problems. Be sure to label the unknowns and to show the equation you use for the solution. . Yuri has a board that is 98 in. long. He wishes to cut the board into two pieces so that one piece will be 10 in. longer than the other. What should the length of each piece be? Click here to see answer by checkley75(3666)

 Question 85695: Solve the following word problems. Be sure to label the unknowns and to show the equation you use for the solution. Number problem. The sum of two consecutive integers is 145. Find the two integers. Click here to see answer by checkley75(3666)

 Question 85893: Suppose you travel north for 65 kilometers then travel east 75 kilometers. How far are you from your starting point? Click here to see answer by checkley75(3666)

 Question 85908: 1. what are the dimensions of a rectangle ? when the perimeter is 50 feet and the length is 11 feet more than the width. 2. what is the length of a triangle that has a perimeter of 69 inches? the second side is 7 inches longer than the first side. the third side is 6 inches shorter than twice the length of the first side. 3. michelle collected \$184 selling girl scou cookies. the money consisted of \$1, \$5, \$10 bills. there were three times as many \$1 bills as \$5. if there were \$60 bills, how many of each bill did she have? Click here to see answer by praseenakos@yahoo.com(507)

 Question 85917: please help... 1. a triangle has a perimeter of 69 inches. the second side is 7 inches longer than the first side. the third side is 6 inches shorter than twice the length of the first side. find the length of each side. 2. michelle collected \$184 selling girl scout cookies. the money consisted of \$1, \$5, and \$10 bills. there were three times as many \$1 bills as \$5. if there were 60 bills, how many of each bill did she have? Click here to see answer by scott8148(6628)

 Question 86184: I have been "racking" my brain and wasting a lot of scratch paper over this one. I just can't seem toA small corporation borrowed \$775,000 to expand it's software line. Some of the money was borrowed at 8%, some at 9%, and some at 10%. How much was borrowed at each rate if the annual interest was \$67,000 and the amount borrowed at 8% was four times the amount borrowed at 10%? visualize the format. Thanks in advance. Click here to see answer by stanbon(57361)

 Question 86248: What is the slope, x-intercept, and y-intercept of the following line? 3x + 4y = 9 Click here to see answer by stanbon(57361)

 Question 86249: The following is a two part question: a) What is the slope of the following line? y = -7.921 b) What is the slope of the following line? x = 9.124 I didn't enter the ISBN for my textbook because is not from the book. Thank you in advance, Denise Click here to see answer by stanbon(57361)

 Question 86247: The cost, y, of growing special oranges in dollar as a function of the number of oranges, n, is given by: y = 0.7n + 20.34 Make a plot of the above equation. What is the cost of growing 50 special oranges? I entered the ISBN but this question is not in the book. I studied the chapter regarding function and I just can't figure it out. Please help. Click here to see answer by stanbon(57361)

 Question 86344: A common mistake when solving equations is the following: The equation: 2(x – 2) = x + 3 First step in solving: 2x – 2 = x + 3 Write a clear explanation of what error has been made. What could be done to avoid this error? Click here to see answer by venugopalramana(3286)

 Question 86341: Solve the following word problems. Be sure to show the equation you use for the solution. Science and medicine. Martina leaves home at 9 A.M., bicycling at a rate of 24 mi/h. Two hours later, John leaves, driving at the rate of 48 mi/h. At what time will John catch up with Martina? Click here to see answer by ankor@dixie-net.com(15656)

 Question 86476: please help... bob invested \$6100 in two funds paying 7% and 6% simple interest. the combined interest for both funds was \$405. how much was invested at each rate? solution A is 35% alcohol. solution B is 60% alcohol. how many liters of each would be needed to obtain 10 liters of a mixture that is 40% alcohol? Click here to see answer by checkley75(3666)

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