# 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 417894: An orchard contains 30 apple trees, each of which yields approximately 400 apples over the growing season. The owner plans to add more trees, but the guys at Texas A&M advise that because of crowding, each new tree will reduce the average yield per tree by about 10 apples over the growing season. How many trees should be added to maximize the total yield of apples, and what is the maximum yield? Click here to see answer by stanbon(57379)
 Question 417894: An orchard contains 30 apple trees, each of which yields approximately 400 apples over the growing season. The owner plans to add more trees, but the guys at Texas A&M advise that because of crowding, each new tree will reduce the average yield per tree by about 10 apples over the growing season. How many trees should be added to maximize the total yield of apples, and what is the maximum yield? Click here to see answer by josmiceli(9697)

 Question 417892: An airline chart shows that the temperature T in degrees Fahrenheit at an altitude, h, of 15000 feet is 5. At an altitude of 20,000 feet T= -15 . If T is a linear function of h, how do I write a function to describe this. What do the slope and y intercepts tell me in the context of this problem? Click here to see answer by stanbon(57379)

 Question 417919: Three loaves of bread and two jars of peanut butter cost \$5.49. Four loaves of bread and three jars of peanut butter cost \$7.75. Find the price of a loaf of bread and a jar of peanut butter. Click here to see answer by mananth(12270)

 Question 418025: a car traveled 715 km in 11 hours . what was its average speed? Click here to see answer by Edwin McCravy(8909)

 Question 418060: you have a coin bank that has 275 dimes and quarters that total \$51.50. How many of each type of coin do you have in the bank? Click here to see answer by ewatrrr(10682)

 Question 417141: Katy needs to mix a 20% saline solution with a 50% saline solution to create 100 millileters of a 44% solution. How many millileters of each solution must Katy use? Click here to see answer by ewatrrr(10682)

 Question 418226: a number of students rented a car for \$160 for a one week camping trip. If another student had joined the original group, each persons share of expenses would have been reduced by \$8. How many students were in the orginal group? Click here to see answer by ewatrrr(10682)

 Question 418372: If 5 is subtracted from three times a number, the result is 7 more than twice the number. What is the number? Click here to see answer by rfer(12666)

 Question 418580: A movie theater is ﬁlled to capacity with 400 people. After the movie ends, people start leaving at the rate of 50 each minute. (a) Find an equation for N, the number of people in the theater, as a function of t, the number of minutes after the movie ends. Enter your answer as an equation, such as N = 5t -1. (b) For what values of t does the equation make sense in practical terms. Domain: Click here to see answer by mananth(12270)

 Question 418616: what type of intersecton does this equation have? 3x+3y=7 and 3x+y=7 Click here to see answer by ewatrrr(10682)

 Question 418721: The ratio of men to women in a certain factory is 3 to 4. There are 210 men.How many workers are there? Click here to see answer by Alan3354(30993)

 Question 418736: Country A produces about six times the amount of diamonds in carots produced in Country B. If the total produced in both countries is 14,000,000 carats, find the amount produced in each country. Click here to see answer by ewatrrr(10682)

 Question 418999: the sum of the digits of a two-digit number is 13. the value of the number is 2 more than 7 times the units digit. Click here to see answer by josmiceli(9697)

 Question 419089: 30% of students participate in athletics, of the remaining students 25% particpate in other extracurricular activities. If there are 800 students in the class, how many of these students participate in other extracurricular activities? Click here to see answer by edjones(7569)

 Question 419057: Frank wants a cleaning solution that is 40% acid. He has a large supply of both 25% and 50% solution. How many liters of each does he need to mix to make 30liters of the desired solution? Click here to see answer by mananth(12270)

 Question 419129: A glue company needs to make some glue tat it can sell at \$120 per barrel.It wants to use 150 barrels of glue worth \$100 per barrel, along with glue worth \$150 per barrel and and glue worth \$190 per barrel.It must use the same number of barrels of \$150 and \$190 glue.How much of the \$150 and \$190 glue will be needed?How many Barrels of \$120 glue will be produced? Click here to see answer by mananth(12270)

 Question 419131: a wine merchant wishes to get 300 liters of wine that sells \$3 per liter.She wishes to mix wines selling at \$4.5,\$1.5 and \$2.25 per liter respectively.She must use twice as much of the \$2.25 wine as the \$1.5 wine.How many liters of each should she use? Click here to see answer by mananth(12270)

 Question 419279: COuld somene please help me solve this: A manufacturer of synfuel ( synthetic fuel from coal) estimates that the cost c in dollars per barrel for a production run of x thousand barrels is given by c(x) = 9 x² - 180 x + 940. How many thousands of barrels should be produced during each run to minimize the cost per barrel, and what is the minimum cost per barrel? Click here to see answer by duckness73(43)

 Question 419682: Solve the problem by stating the equation you would use to solve and then solving it. Show all work. In a local election 25,800 people voted. This was an increase of 5% over the last election. How many people voted in the last election. Round to the nearest whole person. Click here to see answer by nerdybill(6962)

 Question 419750: nine times the reciprocal of a number equals 3 times the reciprocal of 8 Click here to see answer by sudhanshu_kmr(1152)

 Question 420050: Use an inequality to solve Jim has gotten scores of 88 and 69 on his first 2 test. What score must he get on his third test to kee an average of 85 or greater? I got x>88 Could that be correct? Click here to see answer by sudhanshu_kmr(1152)
 Question 420050: Use an inequality to solve Jim has gotten scores of 88 and 69 on his first 2 test. What score must he get on his third test to kee an average of 85 or greater? I got x>88 Could that be correct? Click here to see answer by solver91311(16897)

 Question 420119: Two small pitchers and one large pitcher can hold 8 cups of water. one large pitcher minus one small pitcher constitutes 2 cups of a water. How many cups of water can each pitcher hold? Click here to see answer by Earlsdon(6287)

 Question 420169: the body mass,I,can be used to determine an invdivdual's risk for heart disease. An index less than 25 indicates a low risk.The body massindex is given by the formula, I=700w/H2,where weight W= weight,in pounds,and H= Height,in inches. Francis weighs 170 pounds and stands 73 inches tall. Whatis his approximate body mass index?Find an inquality describing all weights W that Francis can have and be in the low risk category. Click here to see answer by stanbon(57379)

 Question 420162: Bayside insurance offers two health plans.Under plan A, Giselle would have to pay the first \$70 of her medical bills, plus 40% of the rest. Under plan B, Giselle would pay the first \$130, but only 20% of the rest. For what amount of medical bills will plan B save Giselle money? Assume she has over \$130 in bills. Click here to see answer by mananth(12270)

 Question 420252: The sum of a number and eight is equal to half the product of that number and twelve. Find the number. Click here to see answer by mananth(12270)

 Question 420313: the perimetet of a rectangle is 50 meters. write a linear equation in 2 variables for this perimeter. use the equation to find x when y=20 Click here to see answer by ewatrrr(10682)

 Question 420334: Can you help me with this problem? If a water line is given by the equation y=-2/3x-12, could you place it at the point (-4,-10)? What is the slope and y-intercept of the line? Thank you. Click here to see answer by sudhanshu_kmr(1152)

 Question 420368: Any ideas on how to solve such a problem?!? According to data from the NFL, the average yearly salary (in thousands) for a player can be approximated by the equation y = 134.47 x + 827.93 where x = 0 corresponds to the year 2000. In what year will the average salary by \$2.8 million. Thank you in advance. Click here to see answer by stanbon(57379)

 Question 420396: How would you solve this problem: The approximate number of tax returns examined by the IRS in 1996 was 1.9 million In 2006, it was 1.2 million examined. Let x= 0 correspond to 1996, estimate the number of examined returns in 2008. Answer to 2 decimal places. Thanks, it will be greatly appreciated. Click here to see answer by josmiceli(9697)

 Question 420836: the perimeter of square a is 24 linear units. The area of square A is 4 times the area of square B. What is the perimeter of square B? Click here to see answer by robertb(4012)

 Question 420849: If the bill for 5 apple juices and 4 salads is \$9.50, but the bill for 4 apple juices and 5 salads is \$10.30, then how much would 1 apple juice and 1 salad cost? Click here to see answer by mananth(12270)

 Question 421046: I need help with this problem x + y + z = 0 x – y – z = 6 -x + y – z = 4 Click here to see answer by Alan3354(30993)
 Question 421046: I need help with this problem x + y + z = 0 x – y – z = 6 -x + y – z = 4 Click here to see answer by richard1234(5390)

 Question 421045: I need help solving this problem. x + 2y + 3z = 24 -x + y + 2z = 1 x + y – 2z = 9 Click here to see answer by Alan3354(30993)

 Question 421518: Squares with sides of length x are cut from the corners of a rectangular piece of sheet metal with dimensions of 6 in by 10 in. The metal is then folded to make a open top box. What is the maximum volume of the box and what are its dimensions. Click here to see answer by Theo(3464)

 Question 421698: the ratio of men to woman in a certain factory is 3 to 4 there are 198 man. How many people work in the factory Click here to see answer by rfer(12666)

 Question 421777: A right triangle has one leg measuring "x" inches and second leg measuring (2x+2)inches. The hypotenuse measures (2x+3) inches long. Find the length of all three sides. Click here to see answer by mananth(12270)

 Question 422210: the sum of two numbers is 47. Find the two numbers if one is two more than four times the other. You must set up and algebraically solve a system of two linear equations to answer this problem. Click here to see answer by rfer(12666)

 Question 421588: the sum of 3 consecutive integers is 3 times the middle one . find the integers Click here to see answer by richard1234(5390)

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