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

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Question 274903: Bob's frog can travel 6 inches per jump, Kim's frog can travel 9 inches, and Jack's frog can travel 13 inches. If the three frogs start off at point 0 inches, how many inches will it be to the next point that all three frogs touch?

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Question 274836: In a class of 450 students, 300 are taking a mathematics course and 260 are taking a science course. If 140 of these students are taking both courses, how many students are not taking either of these courses?
a) 30 b) 40 c) 110 d) 140

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Question 275033: The square of a number is 20 more than 8 times the number. Find the number.
Click here to see answer by unlockmath(1688) About Me 

Question 275034: A garden plot 4m by 12m has one side along a fence as shown below. A border of uniform width(x) is to be dug along three of the sides. The area of the garden and border is 96 sq. m. What is the width of the border?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 275545: For which of the following lists of numbers is the median equal to the average (arithmetic mean)?
a)4; 4.7 b) 1; 10; 19 c) 0; 1; 1; 5 d) 0; 2; 3; 4

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Question 275593: In how many ways can the coaches of a basketball team select a most valuable player, a most improved player, and a best defensive player from the 12 player on a team?
Click here to see answer by solver91311(24713) About Me 

Question 275900: Equal amounts are invested in two accounts paying 4% and 5% interest annually. If one year's combined interest income is $324, how much is invested in each acount? And what would the equation be?
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Question 275890: After the first day of registration, 54 students are enrolled in summer camp program. If 60% of the slots are now filled, how many slots were available? And what would the equation be?
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Question 276033: There are 24 questions on the test. Each question is worth ether 4 or 5 points. The test is worth 100 points. How many of each type of question are there?
My problem with this problem is I've never seen a word problem like this.
This is what I started to do:
Let x= 4 point questions
Let y= 5 point questions
x+y=24
4x+5y=100
Am I on the right track?

Click here to see answer by richwmiller(17219) About Me 

Question 276068: Solve the problem. The difference between two numbers is 4. Two times the smaller number minus four times the larger is -28. What are the numbers?
Click here to see answer by stanbon(75887) About Me 

Question 276055: A farmer spends $4,000 to obtain 100 head of livestock.Prices are: calves – $120 each; lambs – $50 each; piglets – $25 each. If he purchased at least one animal of each type and fewer than 10 calves,how many lambs did he buy?
a 44 b 46 c 48 d 50 e None of the above

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Question 276441: A 20-ft ladder is leaning against a building. If the bottom of the ladder is 12 ft from the base of the building, how high does the ladder reach?
Click here to see answer by mananth(16946) About Me 

Question 276488: Given real numbers a and b; let a*b = a+b+ab: Evaluate 3 * (4 * 5):
a) 60 (b) 80 (c) 119 (d) 133 (e) None of the above

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Question 276509: A computer manufacturer reduced the price of his model X computer by 3%. Tf the new price of the model X computer is $2489, then how much did the computer cost, in dollars, before its price was redued? (Round to the nearest dollar).
Click here to see answer by checkley77(12844) About Me 

Question 276500: In a school of 320 students, 85 students are in the band, 200 students are on sports teams, and 60 students participate in both activities.How many students are not involved in either band or sports?
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Question 276561: Anthony's company made 17 customer calls last week and 22 calls this week. How many calls must be made next week in order to maintain an average of at least 20 for the three-week period?
Click here to see answer by richwmiller(17219) About Me 

Question 276579: By counting very quickly you notice that your car tire makes 672 revolutions in one mile. What is the radius of the tire rounded to the nearest inch?
a 14 b 15 c 16 d 17 e None of the above

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Question 276599: How do we explain logically the results when we use either the substitution or elimination method to solve an inconsistent system? Give an example.

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Question 276580: Three girls are racing around a track, each at a constant speed. Hannah is the fastest and passes Erin every 10 minutes. On the other hand, Erin passes Jeannie every 15 minutes. How often does Hannah pass Jeannie?
a Every 5 minutes b Every 6 minutes c Every 7 minutes d Every 8 minutes

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Question 276744: How many pounds of an alloy containing 60% copper must be melted with an alloy containing 20% copper to obtain 4 pounds of an alloy containing 35% copper?
Click here to see answer by checkley77(12844) About Me 

Question 276720: A Standard rectangular highway billboard sign has a perimeter of 124 ft. The lenght is 6ft more than three times the width. Find the dimensions of the sign.
Click here to see answer by checkley77(12844) About Me 

Question 276710: one number is 7 less than another. if 4 times the smaller number plus 2 times the larger number is 62, find the two numbers.
Click here to see answer by checkley77(12844) About Me 
Question 276710: one number is 7 less than another. if 4 times the smaller number plus 2 times the larger number is 62, find the two numbers.
Click here to see answer by nyc_function(2741) About Me 

Question 276718: The second angle of a triangular field is three times as large as the first angle. The third angle is 40 degrees greater than the first angle. How large are the angles?
Click here to see answer by nyc_function(2741) About Me 

Question 276783: The reciprocal of half a number increased by half the reciprocal of the number is 1/2. Find the number
Click here to see answer by solver91311(24713) About Me 

Question 276876: Statistics word problem:
We are interested in estimating how many New Jersey residents support moving the New Jersey presidential primary elections up to early February. We were able to draw a simple random sample that includes 400 New Jersey residents. Sixty-five percent of respondents supported the change, with as standard deviation of 40. We can be 95% confident that the actual mean in the New Jersey population lies between the ___% and ___%. We can be 99% confident that the actual mean in the population lies between ___% and ___%.

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Question 276879: There are two machines that produce aluminum cans. The newer machine can produce 5400 cans in 180 minutes. It takes the older machine 270 minutes to produce that many cans. If the two machines work together, how long will it take them to produce 5400 cans?
Click here to see answer by mananth(16946) About Me 

Question 277022: A faucet can fill a sink in 5 minutes. It takes twice that long for the drain to empty the sink. How long will it take to fill the sink if the drain is open and the faucet is on?
Click here to see answer by mananth(16946) About Me 

Question 277019: Stephanie took her kayak to the Kaweah River, which flows downstream at a rate of 2 kilometers per hour. She paddled 15 km upstream, and then paddles downstream to her starting point. If this round-trip took a total of 4 hours, find the speed that Stephanie can paddle in still water.
Click here to see answer by solver91311(24713) About Me 
Question 277019: Stephanie took her kayak to the Kaweah River, which flows downstream at a rate of 2 kilometers per hour. She paddled 15 km upstream, and then paddles downstream to her starting point. If this round-trip took a total of 4 hours, find the speed that Stephanie can paddle in still water.
Click here to see answer by mananth(16946) About Me 

Question 277020: You must leave for campus in half an hour, or you will be late for your 8:00 Math class. Unfortunately, you are snowed in. You can shovel the driveway in 45 minutes and your brother claims he can do it in 36 minutes. If you shovel together, how long will it take to clear the driveway? Will this give you enough time before you have to leave?
Click here to see answer by Theo(13342) About Me 

Question 277017: Because of an anticipated heavy rainstorm, the water level in a reservoir must be lowered by 1 foot. Opening Spillway A lowers the level by this amount in 4 hours, whereas opening the smaller spillway B does the job in 6 hours. How long will it take to lower the water level by 1 foot if both spillways are opening?
Click here to see answer by Theo(13342) About Me 

Question 277107: If I have 10,000 dollars to invest at 8% compounded quarterly, how long will it take to earn $5,000 in interest. Please can you provide a formula for this problem.
Thank you

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Question 277188: Mylan spent $3 on a magazine. He spent half of his remaining money on a video. He then spent half of his remaining money on a book. He had $12 left. How much money did Mylan begin with?
Click here to see answer by Edwin McCravy(20054) About Me 
Question 277188: Mylan spent $3 on a magazine. He spent half of his remaining money on a video. He then spent half of his remaining money on a book. He had $12 left. How much money did Mylan begin with?
Click here to see answer by unlockmath(1688) About Me 

Question 277221: A rectangular platform for a concert has a perimeter of 640 feet. Suppose that the length of the platform is three times the width. What are the dimensions of the platform? Thank You
Click here to see answer by JBarnum(2146) About Me 

Question 277232: Two pumps are available to fill a swimming pool. The larger pump can fill the pool in 8 hours if it works alone. The smaller pump would take 17 hours to fill the pool it it worked by itself. The large pump was busy on another job so the pool superintendent began to fill the pool with the smaller pump. Seven hours after the small pump began to fill the pool, the larger pump arrived and began to work along with the smaller pump. How long was the larger pump working when the pool was full? How long had the smaller pump been working?
Click here to see answer by mananth(16946) About Me 

Question 277229: A demolition company wants to build a brick wall to hide from public view of the area where they store wrecked cars. Working together, an experienced bricklayer and an apprentice can build the wall in 12 hours. Working alone, it takes the apprentice 10 hours longer than the experienced bricklayer to do the job. How long would it take the experienced bricklayer to build the wall working alone?
Click here to see answer by checkley77(12844) About Me 

Question 277196: Connor has a garden shaped like a rectangle with dimensions of 12' by 30'. How many feet of fencing does Connor need to enclose his garden?
Click here to see answer by checkley77(12844) About Me 

Question 277256: Hi I was wondering if I could have help with this word problem:
A skydiver jumps out of a plane that is flying 2500 metres above the ground. The skydiver's height, h, in metres, above the ground after t seconds is
h(t)=2500-4.9t^2. The skydiver's parachute opens at 1000 m above the ground. After how many seconds does this happen?
I am in a calculus course, so I am farmiliar with differentiation, and have already derived this function.
J

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Question 277233: The company newsletter needs to get out by the end of the workday. Karen can staple and fold all of the newsletters in 23 hours. John could do it by himself in 17 hours. Mary could do it by herself in 19 hours.
Karen begins to work, then one hour later Mary joins her, then two hours after that, John joins them. If Karen began stapling and folding at 8:00, will the job be done by 5:00? How long would each person have been working by the time the job is done?

Click here to see answer by mananth(16946) About Me 

Question 277285: The sum of the digits of a two- digit number is 14. When the digits are reversed, the new number is 36 more than the original number. What is the original number?
Click here to see answer by oberobic(2304) About Me 

Question 277026: The company newsletter needs to get out by the end of the workday. Karen can staple and fold all of the newsletters in 23 hours. John could do it by himself in 17 hours. Mary could do it by herself in 19 hours.
Karen begins to work, then one hour later May joins her, then two hours after that, John joins them. If Karen began stapling and folding at 8:00, will the job be done by 5:00? How long would each person have been working by the time the job is done?

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 277314: five pens of the same type cost the same as two notebooks of the same type.If one pen and 2 notebooks cost$4.20 how much does one one pen cost?
Click here to see answer by oberobic(2304) About Me 

Question 277460: If a non-zero integer n is chosen such that (2-16/n) is an integer less than 6
Which of the following must be true of n ?
A -8 b -6 c -4 d -3 e -1

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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