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

Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)

Question 99369: The 306 students were assigned to rooms so that there were 30 or 31 students in each room. How many rooms had exactly 30 students
Click here to see answer by bucky(2189)

Question 99481: a van leaves a store at 2:00 going 35 miles an hour
a car leaves the same store at 2:45 going 50 miles an hour
how long will it take for the car to pass the van
Click here to see answer by ankor@dixie-net.com(22740)

Question 99459: A set contains five integers. when distinct elements of this set are added togehter, two at a time, the complete list of different possible sums that result are: 637, 669, 794, 915, 919, 951, 1040, 1072, 1197
What is the largest of the five integers in the set?
Click here to see answer by 303795(602)

Question 99699: An arithmetic student needs an average of 70 or more to receive credit for the course.
She scored 82, 64, and 98 on the first three exams. Write an inequality representing the score she must get on the last test to receive credit for the course.
A) x ≥ 41
B) x ≥ 38
C) x ≥ 34
D) x ≥ 36

Click here to see answer by Adam(64)

Question 99698: A home purchased for $300,000 depreciated 8% over a 1-year period. What was the
value of the home after at the end of the year?
A) $278,000
B) $272,000
C) $274,000
D) $276,000
I came up with $276,000 is that correct?

Click here to see answer by edjones(8007)

Question 99724: Please help! This word problem has me stumped. An airplane covered 15 miles of its route while decreasing its altitude by 18,000 feet. Find the slope of the airplane's line of descent. Round to the nearest hundredth. I just don't think I have enough information to get a solution.
Click here to see answer by edjones(8007)

Question 99739: 25% of 120
I am guessing 30 am I right?
Click here to see answer by scottnascar(12)

Question 99726: A small company produces both doll houses and 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 doll furniture be produced per week. Write a system of inequalities representing this situation, where x is the number of doll houses and y is the number of furniture sets. Then graph the system of inequalitites.
I think I have found the system of inequalitites. I am not sure if they are correct though.
3x + 8y < 400; x + y < 100; x > or equal to 20; y > or equal to 10
I also came up with these points for the graph
(20,10); (66,24); (23,66); (64,26) Is this all correct?
Click here to see answer by ankor@dixie-net.com(22740)

Question 99764: Please help -- I came up with r=t-2/3(t) x $6+$3(2/3)(t), but I don't think that it is right.
A drama club plans to sell 100 tickets to a school musical. An adult ticket costs $6, and a student ticket costs $4. Students who attend the school get a $1 discount. The club expects two-thirds of the student tickets to be discounted. Write an equation that gives the total revenue r (in dollars) as a function of the number (a) of adult tickets sold.
Click here to see answer by stanbon(75887)

Question 99824: Can you please help me solve this problem: The temperature of 41 degrees Fahrenheit is equivalent to 5 degrees Celius, and the temperature of 77 degrees Fahrenheit is equivalent to 25 degrees Celsius. at what temperature, the degree in Fahrenheit is the same as the degree in Celsius.
Thank you, I most appreciate it

Click here to see answer by Earlsdon(6294)

Question 99887: Can you please help me solve this problem: A manufacturer sells a product at $8 per unit, selling all that is produced. Fixed cost is $5000 and variable cost per unit is 22/9 dollars. Find the total output and revenue at the break-even point. Find the ouput required to obtain a profit of $10,000.
Thank you, I really appreicate your help
Click here to see answer by checkley71(8403)

Question 99972: In a walkathon to raise money for charity, Elisa walked a certain distance at 5 mi/h and then jogged twice that distance at 8 mi/h. Her total time walking and jogging was 2 h and 15 min. How many miles long was the walkathon?
Click here to see answer by fastblue(13)

Question 100009: a board that is 12 feet long is cut into two pieces. one part is four more than twice the other. Find the length of each parts.
Click here to see answer by Nate(3500)

Question 100009: a board that is 12 feet long is cut into two pieces. one part is four more than twice the other. Find the length of each parts.
Click here to see answer by edjones(8007)

Question 100007: a 16 yard fishing line is cut ino two pieces. express the longer piece in terms of the shorter
Click here to see answer by Nate(3500)

Question 99799: For a number of two digits, the sum of its digits is equal to 1/7th of the number and the product of its digits is equal to 10 less than half the number. The number is:
Click here to see answer by ankor@dixie-net.com(22740)

Question 100087: mary is running to school. She leaves home at 8am trotting at a speed of 7mph. Her little lamb leaves home at at 8:15am running at a speed of 12 mph. What time of day will the lamb catch mary? Round your answer to the nearest minute. (Example 1027 am)
Click here to see answer by ankor@dixie-net.com(22740)

Question 100078: A rectangular field is 300 feet wide and 400 feet long. Random sampling indicates that on the averagre, three ants can be fond per square inch throughout the field. Find the number of ants in the field?
Click here to see answer by checkley71(8403)

Question 100073: I cannot seem to get a mathematical equation out of this problem:
The Jr. senator can work his way through a bureaucratic labyrinth in 50 minutes. The Sr. senator can work his way through a bureaucratic labyrinth in 30 minutes. Working together, how many minutes would it take them to work their way through 12 bureaucratic labyrinths?
I have worked and worked and am just stuck! 50x + 30y = 12 and substituting y = (12 - 50x)/30 just ends me up with 12 = 12 (which I already know!). Please help - words problems are my weak area here. Thank you!
Click here to see answer by scott8148(6628)

Question 100083: A man is digging a hole and standing in it. He is 5 feet 10 inches tall. When we come upon him he tells us that he is one-fourth done and that when he is finished, the top of his head will be three times as far below ground as it is now above ground. How deep will the hole be when finished?
Click here to see answer by scott8148(6628)

Question 100139: A club charters a plane at a cost of $15840 to take a group of members on a trip. At the last minute, 6 people in the group canceled, increasing the cost per person by $20. How many people originally intended to take this trip?
I set the original # of people = P
Cost/person = 15840/P
The people that went were = (P-6)
Final cost/person = 15840/(P-6)= 15840/P + 20
I did do a methodical 'guess and check' and did get what I think is the right answer (72), but how do I really work it out. On a test, that will be too time
consuming and in the real work, it is not practical.
Help! Also what would you classify this problem as?
Thanks

Click here to see answer by stanbon(75887)

Question 100163: the hypotenuse of a right triangle is 25 inches , one of the legs is 5 inches more than the other. find the lengths of the two legs
Click here to see answer by scott8148(6628)

Question 100260: If Lynn can type a page in p minutes, what piece of the page can she type in 5 minutes?

Click here to see answer by tutorcecilia(2152)

Question 100439: AB+CD=EFG
Each letter represents a different digit. What digit does E represent. Explain your answer.
This is a problem from my geometry class and I think the answer is 5 however I am not certain. Thank you for your help.
Click here to see answer by checkley71(8403)

Question 100551: In an election, the winning candidate had 160 more votes than the loser did. If the total number of votes were 3,260, how many votes did each candidate receive?
Click here to see answer by checkley71(8403)

Question 100649: margo and tony had a running race. margo ran 10 feet farther than tony. together they ran 64 feet. how far did each person run?
Click here to see answer by checkley71(8403)

Question 100654: How long must a guywire be to run from the top of an 18-ft pole to a point on level ground 16 ft away from the base of the pole?
Click here to see answer by tutorcecilia(2152)

Question 100879: I think i have the right answer, but the problem is that my book dosen't really explain well enough on how to write the equation.
The band leader wants to line up the 92 members in 4 rows so that each row has two more than the row before. How many members whould be in the shortest row?
I'm sure the answer is 17. But I can't figure out for the life of me how to write the equation. I've been working in it all day.
Click here to see answer by stanbon(75887)

Question 101082: Sally buys a radio for $120. She pays for it with $2 and $5 bills. If Sally used a total of 30 bills, how many of each did she use?
The unit is in solving problems using one variable. What would the algebraic equation be for this problem?

Click here to see answer by stanbon(75887)

Question 100555: Program has 110 participants
78 participants took CM 400
63 participants took CM 450
54 participants took both CM 400 and CM 450
How many participants took CM 400 alone?
How many participants took CM 450 alone?
How many participants did not take neither CM400 nor CM450?
How many students did not take CM 400?
How many students did not take CM 450?

Click here to see answer by mizzmake2(3)

Question 101174: On a History Exam, each multiple-choice question is worth 3 points,and each true false question is worth 2 points. Vanessa answered 28 questions correctly on the exam and earned a score of 77 points.How many multiple-choice questions did she answer correctly and how many true-false questions did she answer corectly?
Click here to see answer by doukungfoo(195)

Question 101181: From a group of 6 juniors and 8 seniors on the student council, 2 juniors and 4 seniors will be chosen to make up a 6-person committee. How many different 6-person committees are possible?
Click here to see answer by stanbon(75887)

Question 101263: 1.FIVE TIMES A NUMBER IS 4 MORE THAN THE NUMBER. FIND THE NUMBER.
2.THE DIFFERENCE BETWEEN TWO NUMBERS IS 10 AND THEIR SUM IS 24. FIND THE NUMBERS
Click here to see answer by stanbon(75887)

Question 101308: KOJO IS TWICE AS OLD AS ESI WHO IN TURN IS 5 YEAR OLDER THAN KWEKU. IF THEIR TOTAL AGE IS 47,HOW OLD IS EACH OF THEM

Click here to see answer by stanbon(75887)

Question 101313:
Click here to see answer by WannabeCAgirl83(35)

Question 101400: Please help me solve this problem, thank you!!the population of manchester is 4 times the population of dover, and the population of portsmouth is 5,650 less than dover. If the population of all three towns is 154,850, what is the population of each city??
Click here to see answer by stanbon(75887)

Question 101315: Kofi and kweku are two brothers.kofi is older kweku. given that kofi's age is (5x- 4)years and kweku's age is (2x+1)years,
a.write down an expression, in terms of x,for how much older kofi is than kweku.simplify your answer
b.if kofi is ten years oder than kweku,calculate,
i.the value of x
ii.the ages of kofi and kweku
Click here to see answer by stanbon(75887)

Question 101570: A home decor center was given a drawing on which a rectangular room measured 3 1/2 inches by 5 3/4 inches. The scale of the drawing was 1 inch respresented 5 feet. Find the dimensions of the room.
Click here to see answer by doukungfoo(195)

Question 101673: Please help
Bruce invested some money in the Thomas 300 fund and $3000 more than that amount in the Thomas 400 fund. For the year he was in the funds, the 300 fund paid 18% simple interest and the 400 fund paid 15% simple interest. If the income for the two investments totaled $3750 for one year, than how much did he invest in each fund?
Click here to see answer by stanbon(75887)

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, 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, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 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, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690