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

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Question 634178: I am doing a review for my nursing students at the college where I teach. I am having trouble showing them the steps to solve a problem like below.
Tim paints a room in 2.5 hours. Bob paints a room the same size in 5 hours. How long would it take them if they painted the room together?
Click here to see answer by jim_thompson5910(35256)

Question 634194: Yesterday twice as many customers ordered pie as cake. Altogether 141 pieces or pie and cake were ordered. How many pieces or pie were ordered?
Click here to see answer by rfer(16322)

Question 634199: At hals diner this morning the waiter served 5 glasses of orange juice for every 3 glasses of grapefruit juice. Altogether he served 32 glasses of juice. How many glasses of orange juice did he serve
Click here to see answer by rfer(16322)

Question 634233: At 11 o'clock this morning, mel's parking lot was full. Mel noticed that the ratio of cars to trucks was 5:2. By 1 o'clock in the afternoon, 10 trucks had left the lot and 10 more cars had parked in the lot. The ratio of cars to trucks was then 6:1. How many vehicles are Parked in mel's parking lot when the lot is full?
Click here to see answer by ankor@dixie-net.com(22740)

Question 634402: Ozark Furniture Company can obtain at most 3000 board feet of maple lumber for making its classic and modern maple rocking chairs. A classic maple rocker requires 15 board feet of maple, and a modern rocker requires 12 board feet of maple. Write an inequality that limits the possible number of maple rockers of each type that can be made, and graph the inequality in the first quadrant.

A chain furniture store faxes an order for 175 modern rocking chairs and 125 classic rocking chairs. Will Ozark Furniture be able to fill this order with the current lumber on hand? If yes, how much lumber will they have left? If no, how much more lumber would they need to fill the order?

Click here to see answer by richwmiller(17219)

Question 634405: How long would it take a person to pay off a bill in the amount of $21,000
At the rate of $70.00 a month with out interest an with interest
Click here to see answer by checkley79(3341)

Question 634416: Devon, Frank, Fua, Morris, and Pedro belong to the same gym. The gym rules prohibit the staff from giving out personal information about their clients. However, each of the five men said just enough that you can figure out their exact weights.
Devon: Pedro weighs 18 pounds more than I do. None of us weighs over 200 pounds.
Frank: My weight is divisible by 7. Morris weighs 12 pounds more than I do.
Fua: Three people are heavier than I am. Pedro's weight is a prime number.
Morris: I'm heavier than Pedro. Devon is the lightest.
Pedro: Morris's weight is divisible by 10. The five of us together weigh a total of exactly 840 pounds.
This is a problem from the textbook "Crossing the River with Dogs" but I'm having a difficult time answering using a problem solving strategy. Thanks!
Click here to see answer by richwmiller(17219)

Question 634691: Parking in a students lot cost $3.00 for the first half hour and $1.75 for each hour thereafter. A partial hour is charge the same as a full hour. What is the longest time that a student can park in this lot for $9?
The longest time is ? (simplify your answer)
Click here to see answer by nyc_function(2741)

Question 634729: A stuntman jumps off a roof 375ft from the ground. How long will it take him, falling freely, to reach the ground. (use formula s=16t^2)

Click here to see answer by stanbon(75887)

Question 634773: A length of pipe is cut into five pieces in twenty seconds. At that rate, how long does it take to cut a similar length of pipe into seven pieces.
My answer was 28 seconds, but i am now getting told the answer is 30 seconds. How can this be?
Click here to see answer by richwmiller(17219)

Question 634768: a jar of instant coffee contains 16 and one third ounces of coffee. how many cups of coffee containing 1 and one sixth ounces of coffee can be made?
Click here to see answer by lwsshak3(11628)

Question 634929: You worked 17 hours last week and earned a total of 126 dollars before taxes. Your job as a waiter pays $7.00 per hour, and your job as a lifeguard pays $8.00 per hour. How many hours did you work at each job?
Click here to see answer by ewatrrr(24785)

Question 634921: Most railroad cars are owned by individual railroad companies. When a car leaves its home railroad's trackage , it becomes part of a national pool of cars and can be used by other railroads. the rules governing the use of these pooled cars are designed to eventually return the care to the home trackage. A particular railroad found that each month 68% of its boxcars on the home trackage left to join the national pool and 35% of its boxcars in the national pool were returned to the hope trackage. If these percentages remain valid for a long period of time, what percentage of its boxcars can this railroad expect ot have on its home trackage in the long run?
Click here to see answer by ankor@dixie-net.com(22740)

Question 635140: a charge of 3 tons of iron ore yields 2 tons of pig iron. What must the charge of ore be to obtain 86 tons of pig iron?
Click here to see answer by ewatrrr(24785)

Question 635139: sixteen kg of sulfur are needed to make 49 kg of sulfuric acid. How many kg of sulfur are needed to make 40 kg of sulfuric acid?
Click here to see answer by ewatrrr(24785)

Question 635138: nine blenders cost $200.
the cost of 21 blenders would be?
Click here to see answer by ewatrrr(24785)

Question 635137: a contractor charges $200 to build 20 feet of sidewalk. at this rate,how many feet can be built for $500?
Click here to see answer by ewatrrr(24785)

Question 635141: the ratio of an objects weight on Earth to its weight on Neptune 5:7. How much would a person who weighs 125 lb here weigh on Neptune?
Click here to see answer by ewatrrr(24785)

Question 635269: Pressure varies inversely as volume. When the pressure is 16 pascals, the volume is 84 liters. What would the volume be if the pressure is reduced to 12 pascals?
The equation I used is P = k/V (P stands for pressure, V for volume.)
Plug in the values and get 16 = k/84, which simplifies to k= 1344.
After that, you take P = k/V again and plug in P and k for this equation:
12 = 1344/V
I know that V is equal to 112 but how do you solve for V? Can you show me the steps?
Click here to see answer by asuar010(338)

Question 635275: A person hired a firm to build a CB radio tower. The firm charges $100 for labor for the first 10 feet. After that, the cost of the labor for each succeeding 10 feet is $25 more than the preceding 10 feet. That is, the next 10 feet will cost $125, the next 10 feet will cost $150, etc. How much will it cost to build a 90 foot tower?
I was able to come up with the answer as $300 but don't understand how to put it in its proper formula and steps to how I came up with the answer
Click here to see answer by solver91311(24713)

Question 635301: how to multiply(x+y-5d)(x+5d+y)

Click here to see answer by jim_thompson5910(35256)

Question 635304: what is y2- 9 over y2-3y multiply by y over y2+9y+18

Click here to see answer by Maths68(1474)

Question 635365: 2 is added to twice a certain number and the sum is doubled.The result is 10 less than 5 times the original number.find the original number.
Click here to see answer by Maths68(1474)

Question 635324: There a three exams in a marking period. A student recevied grades of 75 and 81 on the first two exams. What grade must the student earn on the last exam to get an average of no less than 80 for the marking period
Click here to see answer by KMST(5328)

Question 635320: The dimensions of a rectangle are such that the length is 7in. more than the width. If the length were doubled and the width decreased by 3in. then the area would increase by 90in.sq. What are the length and width of the rectangle?
Click here to see answer by KMST(5328)

Question 635456: of 2o chicken 9 are brown what fraction are brown

Click here to see answer by Alan3354(69443)

Question 635484: you have a piece of wood that is 84 inches long. you cut the wood into 3 pieces. the 2nd piece is 8 inches longer than the first piece. the 3rd piece is 16 inches longer than the second piece. write an equation and then solve it to determine the lengths of the 3 pieces.
Click here to see answer by lwsshak3(11628)

Question 635520: How quickly will money double if it is invested at an annual interest rate of 6% compounded continuously?
Click here to see answer by solver91311(24713)

Question 635569: In a recent survey of 100 women, the following information was gathered.
38 use shampoo A.
40 use shampoo B.
33 use shampoo C.
4 use shampoos A and B.
11 use shampoos A and C.
13 use shampoos B and C.
3 use all three.
Use the figure to answer the question in the problem.

How many are using shampoo A only (Region I)?
1 . women
Click here to see answer by solver91311(24713)

Question 635705: if 200 kg of ration lasts 3 months for 4 boys,how many boys will consume 650 of the ration in the same period?
Click here to see answer by stanbon(75887)

Question 635688: if each pizza was cut into 8 pieces, how many would be needed if a football team of 20 wanted 2 pieces each
Click here to see answer by richwmiller(17219)

Question 635782: tickets numbered 89 to 224 was sold at a concert. how many tickets were sold

Click here to see answer by solver91311(24713)

Question 635761: In how many different ways can a bill of $1.25 be paid using 20 cent, 25 cent and 50 cent coins only?
50c + 50c + 25c = $1.25
20c + 20c + 20c + 20c + 25c = $1.25
So that's 2 ways.
Click here to see answer by checkley79(3341)

Question 635861: the distance a body falls caries directly as the square of the time that it falls. if it falls 867 meter in 17 seconds, how fas will it fall in 4 second?
Click here to see answer by Alan3354(69443)

Question 635833: How do you get the sum of 24 by only using four numbers and they are 5,1,1,1?
Click here to see answer by Edwin McCravy(20054)

Question 635833: How do you get the sum of 24 by only using four numbers and they are 5,1,1,1?
Click here to see answer by MathTherapy(10549)

Question 635919: tickets to the local circus cost 3 dollars for children and 5 dollars for adult. There were 3 times as many children tickets sold as adult tickets. All together the circus made 700 dollars. How many children and how many adult bought tickets to the circus?
Click here to see answer by Maths68(1474)

Question 636068: The admission fee at a county fair is $1.50 for children and $4.00 for adults. On a particular day, 2200 people enter the fair and $5050 is collected. How many children and how many adults attended?
Click here to see answer by ewatrrr(24785)

Question 636111: Please help me with this problem. I just cannot get the hang of it. I just want to thank you in advance for taking the time to help me.
A survey of 180 college men was taken. 43 students were in fraternities, 52 participated in campus sports, and 35 participated in campus tutorial programs. 13 participated in fraternities and sports, 14 in sports and tutorial programs, and 12 in fraternities and tutorial programs. 5 participated in all three activities. To start

D) How many participated in fraternities and sports but not in tutorial programs?
E) How many participated in only sports?

Click here to see answer by MathTherapy(10549)

Question 636228: IF FARMER BROW HAS LOTS OF PIGS AND CHICKENS AND THERE ARE 50 HEADS AND 160 FEET HOW MANY PIGS ARE THERE ???
Click here to see answer by solver91311(24713)

Question 636493: Meghan has 100 dollars more than Andrew has. After Meghan spends 20 dollars on groceries, she will have five times as much money as Andrew. How much money does Andrew have?
Click here to see answer by butterbean0315(7)

Question 636537: The volume of a shipping box in a cubic feet can be expressed as the polynomial 2x^3+11x^2+17x+6. Each dimension of the box can be expressed as a linear equations with integer coefficients. Which expression could represent one of the three dimensions of the box?
Click here to see answer by ewatrrr(24785)

Question 636586: which of the following points lies in the plane -2x+7y+2z=4?
Click here to see answer by ewatrrr(24785)

Question 636586: which of the following points lies in the plane -2x+7y+2z=4?
Click here to see answer by MathLover1(20849)

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, 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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, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 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20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 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30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690