# Questions on Word Problems: Miscellaneous Word Problems answered by real tutors!

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 Word Problems: Miscellaneous Word Problems Solvers Lessons Answers archive Quiz In Depth

 Question 529329: Create a line graph to model d = rt 1. Let’s say that Jane is driving down the road at 45 miles per hour. We know from previous word problems from this semester that Jane’s trip can be modeled by the formula d = rt. For this problem, what would be the linear equation that models Jane’s trip? Click here to see answer by stanbon(57219)

 Question 529683: I am having trouble setting up an equation for the following: Together Bob and Dave can roof a house in 16 hours. By himself, Bob can roof the house in 4 hours less time than Dave can by himself. How long will it take Dave to roof the house by himself? I am currently studying Quadratic equations and Radicals, so the answer to this might be in Radical form. I tried to assign x to Dave's time, and x-4 to Bob's time, and then average the sum of these. I then made this equal to 16, but I got 18 hours for Dave, and 14 for Bob, which is faster than the 2 of them working together (16)! Any help would be appreciated, Thank you, Kevin Click here to see answer by scott8148(6628)
 Question 529683: I am having trouble setting up an equation for the following: Together Bob and Dave can roof a house in 16 hours. By himself, Bob can roof the house in 4 hours less time than Dave can by himself. How long will it take Dave to roof the house by himself? I am currently studying Quadratic equations and Radicals, so the answer to this might be in Radical form. I tried to assign x to Dave's time, and x-4 to Bob's time, and then average the sum of these. I then made this equal to 16, but I got 18 hours for Dave, and 14 for Bob, which is faster than the 2 of them working together (16)! Any help would be appreciated, Thank you, Kevin Click here to see answer by solver91311(16868)

 Question 529691: An athletic club has 225 feet of fencing to enclose a tennis court. What quadratic function can be used to find the maximum area of the tennis court? Find the maximum area and the lengths of the resulting fence. Click here to see answer by lwsshak3(6460)

 Question 529665: During one evening Kathleen devoted 2/5 of her study time to mathematics, 3/20 of her study time to Spanish, 1/3 of her study time to biology, and the remaining 35 minutes to English. How much time did she spend studying Spanish? Click here to see answer by ankor@dixie-net.com(15624)

 Question 530024: A camera is 43% off the usual price. The amount of the discount it \$180.60. What is the original price? Click here to see answer by Maths68(1474)

 Question 529994: What is the equation of the line with an x-intercept of -1 and a y-intercept of 2? Click here to see answer by ankor@dixie-net.com(15624)

 Question 530250: Riddle 2 What number am I ? I am a perfect square. The only number in my prime factorization is 2. I am a factor of 32. The sum of my digits is odd. Click here to see answer by KMST(1864)

 Question 530249: Riddle 1 What number am I? I am a multiple of 2 and 7. I am less than 100 and greater than 50. I am the product of 3 prime numbers tahat are all different. Click here to see answer by richard1234(5390)

 Question 530247: Marcy has a locker at school. the locker number is 2 digits. Each digit is 1,2,3 or 7, and the digits are different. The number is prime number that is 1 greater than a multiple of 8. What could the locker number be? Click here to see answer by jim_thompson5910(28476)

 Question 530295: I have been working on this problem forever and cannot figure it out. Can you help me and show me how you got the answer? John spent a 1/4 of his life growing up, 1/6 of his life in college, 1/2 of his life as a teacher. He spent his last 6 years in retirement. How old was he when he died? Thanks. Click here to see answer by stanbon(57219)

 Question 530447: oe has a collection of nickels and dimes that is worth \$7.65. If the number of dimes was doubled and the number of nickels was increased by 35, the value of the coins would be \$14.30. How many nickels and dimes does he have? Click here to see answer by oberobic(2304)
 Question 530447: oe has a collection of nickels and dimes that is worth \$7.65. If the number of dimes was doubled and the number of nickels was increased by 35, the value of the coins would be \$14.30. How many nickels and dimes does he have? Click here to see answer by MathTherapy(1421)

 Question 530549: A local government had an employee reduction and lost 1/10 of it employees. I the 198 of its employees were left after the reduction, how many employees were there originally? Click here to see answer by stanbon(57219)

 Question 530246: Danny, Connie, and Jane have eight cookies to share among themselves. They decide that they each do not need to get the same number of cookies, but each person should get at least one cookie. If the children do not break any of the cookies, in how many different ways can they share the cookies? Click here to see answer by sudhanshu_kmr(1152)

 Question 530658: a student earned scors of 83, 78, and 77 on three of four tests. what must the student score on the fourth test to have an average (arithmetic mean) of exactly 80? 80 82 84 85 86 Click here to see answer by Earlsdon(6287)

 Question 530630: A deck with 26 red and 26 black cards is separated into two unequal nonempty piles. The first pile contains 7 times as many black cards as red. The number of red cards in the second pile is a multiple of the number of black cards in that piles. How many red cards are in the first pile ? Click here to see answer by bucky(2189)

 Question 531683: Of the students attending the musical, 8% had free passes. If 161 students paid for their tickets, how many students attended the musical? Click here to see answer by oberobic(2304)

 Question 531668: Question: Members of the computer club were assessed equal amounts to raise \$1200 to buy some software. When 8 new members joined, the per-member assessment was reduced by \$7.50. What was the new size of the club? Stuff I got so far: Let n= number of members after 8 joined n-8= number of members before 8 joined 1200/n - ?/(n-8) =7.50 I don't know what I put in the question mark spot! I can solve it I just need to finish setting it up. Click here to see answer by scott8148(6628)

 Question 531891: The weight of a rectangular block of metal varies jointly as its length, width and thickness. if a weight of a 12-in by 8-in by 6-in block of aluminum is 18.7 pounds, find the weight of a 16-in by 10-in by 4-in block. I have ni clue how to solve it. I would appreciate any help Click here to see answer by mananth(12270)

 Question 333098: 3. As a professional photographer, Marion has seen the trend away from film cameras as customers purchase low-end digital cameras and printers in order to avoid processing fees associated with film-based cameras. She would like to offer a new service to customers by offering superior quality digital printing using advanced pigment inks to produce high-quality color prints. In order to offer this service, Mario will need to invest in a state-of-the-art photo printer through her photography supply company at a list price of \$7,895, plus sales tax of 7.25%. The supply company is offering cash terms of 3/15, n/30 with a 2.5% service charge on late payments, or 90 days “same as cash” financing if Marion is approved for a company credit card. They also offer a payment plan (for the purchase price and the sales tax) at 23% annual simple interest for the first 90 days, plus 2% simple interest per month on the unpaid balance after 90 days. She calls the supply company to inquire about the terms and makes some notes: - 3/15 means 3% discount (only on the price, not the sales tax) if paid within 15 days of purchase - n/30 with 2.5% service charge on late payments means she can pay the cash price until 30 days, or cash price plus 2.5% after 30 days - 90 days “same as cash” means that if she applies for and is approved for a company credit card, she can pay the cash price up to 90 days after purchase. a. (5 points) If Marion takes the cash option and pays for the printer within the 15 day discount period, how much will she save? Answer: b. (5 points) If she takes the 90 days same as cash option and purchases the printer on December 20, using exact time, what is her deadline for paying no interest in a non-leap year? How about in a leap year? [Find using exact time] Answer: c. (5 points) If Marion takes the 90 days “same as cash” option and pays within 90 days, what is her payoff amount? If she can’t pay until April 20, how much will she owe? (Assume ordinary interest, exact time, and a non-leap year) Answer: d. Marion’s uncle works at a local bank and offers to get her a 90-day promissory note for \$8,500 at 8% annual simple interest. Is this enough money for Marion to cover the purchase price of the printer? Is this a better option for Marion to persue from a finanical perspective? Research some of the issues faced by small businesses when borrowing money for investments. What would you do if you were in Marion’s place? Click here to see answer by matt17(1)

 Question 532160: Sarah and Keith purchased 40 stamps, a mixture of 44 cent and 28 cent stamps. Find the number of each type of stamp if they spent \$16.80 **This is Urgent,,,I need HELP ASAP BAAAD** Click here to see answer by oberobic(2304)

 Question 532158: Sarah and Keith purchased 40 stamps, a mixture of 44 cent and 28 cent stamps. Find the number of each type of stamp if they spent \$16.80 **This is Urgent,,,I need HELP ASAP BAAAD** Click here to see answer by richwmiller(9135)

 Question 532244: The amount s (in inches) of snow that fell during a snowstorm varied directly with the duration d (in hours) of the storm. In the first 2 hours of the storm 5 inches of snow fell. Write a direct variation equation that relates d and s. How many inches of snow fell in 6 hours? Click here to see answer by stanbon(57219)

 Question 532242: Two mechanics worked on a car. The first mechanic worked for five hours and the second mechanic worked for 15 hours. Together they charged a total of 1150. What was the rate charged per hour by each mechanic if the sum of the two rates was \$120.00 per hour? Click here to see answer by lwsshak3(6460)

 Question 532168: The force needed to pry a nail from a piece of wood varies inversely with the length of the crowbar used to remove the nail. If a 6 inch long crowbar requires 15 pounds of force, how many pounds are required by an 18 inch long crowbar? Click here to see answer by ankor@dixie-net.com(15624)

 Question 532499: This problem is from chapter 5.6 - Models Involving Rational Expressions - of the Intermediate Algebra textbook, 2nd Ed, Sullivan/Struve: "Roger can run one mile in 8 minutes. Jeff can run one mile in 6 minutes. If Jeff gives Roger a 1-minute head start, how long will it take before Jeff catches up to Roger? How far will each have to run?" I'm not sure what to do with this problem because there is no specific distance given. Can you please help me figure out the model for this problem? Thank you for your help. Click here to see answer by jkrsmsc76(5)

 Question 532467: john has \$5 more than bill and \$3 less than amy. together they have \$25. how much money does each person have? Click here to see answer by jkrsmsc76(5)

 Question 532550: A chemist needs 130 milliliters of a 39% solution but has only 3% and 55% solutions available. How many milliliters of each should be mixed to get the desired solution? Click here to see answer by mananth(12270)

 Question 532530: if sam can do a job in 4 days that lisa can do in 6 days and tom can do in two days how long would the job tabe if sam,lisa ,and tom worked together to completed Click here to see answer by ankor@dixie-net.com(15624)

 Question 533187: A boy sits for 15 maths exams during the year and gains an average of Y%. He sits for one more exam and receives a score of 65%. What is his new average? Click here to see answer by ankor@dixie-net.com(15624)

 Question 533656: A number is added to 4, then the sum is divided by 3. The result it 9. What is the number? Click here to see answer by rfer(12644)

 Question 533668: nine canies cost less than ten dollars, while ten candies cost more than eleven dollars. how much does each candy cost? Click here to see answer by richard1234(5390)

 Question 533855: A salesman estimates that 30% of his usual sales, or \$60,000, has been lost to a competitor. Find the value of the usual sales. Click here to see answer by josmiceli(9649)

 Question 534032: Please help! The Smith's Den Floor is 18FT by 51FT. They want to cover the floor with square tiles that are 9/6ft squared. Write and solve an inequality to find the least number of tiles they need to cover the floor. Thank You~ Also, How do you write... Twenty-four is less than five-eights of a number x as an inequality? TYVM. Click here to see answer by rfer(12644)

 Question 534084: If m=3 and n=5, what is the value of 4m+mn Click here to see answer by rfer(12644)

 Question 534026: what is my equation when they ask me that they want at least three times as many jars of tomato sauce as jars of salsa Click here to see answer by fcabanski(872)

 Question 534087: The jet stream is a strong wind current that flows across the United States. Flying with the jet stream, a plane flew 1872 miles in 3 hours. Against the same wind, the trip took 4 hours. Find the speed of the plane in still air and the speed of the wind current. Click here to see answer by lwsshak3(6460)

 Question 534134: on a plane, two men together had 135 kilograms of luggage.The first paid \$1.35 for his excess luggage and the second paid S2.70 for his excess luggage. had all the luggage belonged to one person, the excess luggage charge would have been \$8.10. At most how many kilograms of luggage is each person permitted to bring on the plane free of additional charge. Click here to see answer by mananth(12270)

 Question 534368: Lex spent \$8.40 for several pencils costing 20 cents each and some notebooks costing \$1.20 each. He bought 7 more pencils than notebooks. how many notebooks did he buy? Click here to see answer by solver91311(16868)

 Question 534498: consider the following 2 sets of consecutive integers : {10,....,20} and {21,.....,30}. Each element of 1st set is multiplied, in turn, by each element of the 2nd set. find the sum of all these products. Click here to see answer by Alan3354(30959)

 Question 534822: 62 Freshmen were interviewed about the classes they were taking this semester. 25 said they were taking science 24 said they were taking math 22 said they were taking English 7 said they were taking both science and math 9 said they were taking both science and English 7 said they were taking both math and English 2 said they were taking all three classes How many students are not taking any science, math, or English? How many students are taking exactly one of science, math, or English classes? Click here to see answer by josmiceli(9649)

 Question 534864: Help ,please! I have a whole sheet of problems like this and it's driving me crazy,can't figure any of them out! Last week they made 88 more bicycles than unicycles and 5 times as many tricycles as unicycles. If they made 40 more bicycles than tricycles, how many unicycles did they make? Click here to see answer by Alan3354(30959)

 Question 534302: Find 2 positive real numbers whose product is the maximum given that the sum is twice the first and three times the second is 48 Click here to see answer by ankor@dixie-net.com(15624)

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, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065