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

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Question 252881: Three boys have marbles in the ratio 19 : 5 : 3. If the boy with the least number has 9 marbles, how many marbles does the boy with the greatest number have?
(A) 57 (B) 62 (C) 48 (D) 54 (E) 70

Click here to see answer by Theo(13342) About Me 

Question 252897: The product of a nonzero integer and –1 has same value as the square of the integer. What is the integer?
(A) –2 (B) –1 (C) 0 (D) 1 (E) 2

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

Question 252896: The daily newspaper always follows a particular format. Each even-numbered page contains 6 articles and each odd-numbered page contains 7 articles. If today paper has 36 pages, how many articles does it contain ?
(A) 282 (B) 249 (C) 234 (D) 220 (E) 180

Click here to see answer by checkley77(12844) About Me 

Question 252944: a 90-foot tall lakefront hotel casts a shadow on the water.
how long is the shadow if a nearby 10-foot tall hoop casts a 7-foot shadow? explain.
suppose the height of the hotel was 180 feet tall.
how would the change affect your answer?explain.

Click here to see answer by drk(1908) About Me 

Question 250401: a 50 mg sample of radioactive substance decays to 34 mg after 30 days.
a. what is the half life of the sample
b. how long will it takd for there to be 2 mg of the sample left

Click here to see answer by Greenfinch(383) About Me 

Question 253004: If x^2 - y^2 = 28 and x - y = 8 what is the average of x and y?
Click here to see answer by Theo(13342) About Me 

Question 253049: If x is a positive integer, which of the following CANNOT be an integer?
(A) +sqrt%28x-1%29+ (B) sqrt%28x%5E2+-+1%29 (C) +%28x%2B4%29+%2F+%28x-2%29+ (D) +%28x%2B4%29+%2F+%28x%2B2%29+ (E) +5%2F%28x%2B1%29+

Click here to see answer by JimboP1977(311) About Me 

Question 253045: When 25 students took a quiz, the grades they earned ranged from 2 to 10. If exactly 22 of them passed, by earned a grade of 7 or higher, what is the highest possible average the class could have earned on the quiz ?
Click here to see answer by richwmiller(17219) About Me 

Question 253047: Jason has the same number of red and of blue marbles. He puts them in two jars so that the ratios of the number of red marbles to blue marbles in jar I is 2:5 and in jar II is 9:5. If there are 84 marbles in jar I, how many are there in jar II ?
Click here to see answer by richwmiller(17219) About Me 

Question 253010: If x, y, and z are different integers less than 10, what is the greatest possible value of (x^2 - y) / z ?

Click here to see answer by JimboP1977(311) About Me 

Question 253013: If a, b, and c are positive numbers such that 3a = 4b = 5c, and if a + b = kc, what is the value of k ?
(A) 12/35 (B) 5/7 (C) 10/7 (D) 7/5 (E) 35/12

Click here to see answer by JimboP1977(311) About Me 

Question 253012: A number of people boarded a bus at the terminal. At the first stop, half of the passengers and 1 got on. At the second stop, 1/3 of the passengers on the bus got off and 1 got on. If the bus then had 15 passengers, how many were there when the bus left the terminal?
(A) 40 (B) 48 (C) 58 (D) 60 (E) 62

Click here to see answer by hokies(65) About Me 

Question 253144: a housing project has 1822 units. there are twice as many two-bedrooms units as there are one-bedroom units, and 250 fewer three bedroom units than one-bedroom units, how many of each kind of units are there?
Click here to see answer by richwmiller(17219) About Me 

Question 253157: Begin by solving the linear equation for y. This will put the equation in slope-intercet form. Then find the slope and the y-intercept of the line with this equation. -4x + y = 8
y = __
The slope is __
The y intercept is __ Type the integer

Click here to see answer by Theo(13342) About Me 

Question 253182: Which of the following has the same set of prime factors as 252?
(A) 14 (B) 36 (C) 42 (D) 56 (E) 105

Click here to see answer by palanisamy(496) About Me 

Question 253179: How many numbers from 1 to 200 inclusive are equal to the cube of an integer?
(A) 1 (B) 2 (C) 3 (D) 4 (E) 5

Click here to see answer by palanisamy(496) About Me 

Question 253172: If x^2 > x^4 and x > 0, what is one possible value for x ?
Click here to see answer by palanisamy(496) About Me 

Question 253186: In Country X there are only 3 coins, the values of which are 1, 3, and 10 pillas. What is the set of pilla values you could give someone if you have 1 coin of each type and can only give an odd number of coins?
(A) {14 } (B) { 1,3 } (C) {1,3,10 } (D) {1,3,10,14 }
(E) {1,3,4,10,11,13,14 }

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

Question 253193: Two odd integers and one even integer are multiplied together. Which of the following could be their product?
(A) 1.5 (B) 3 (C) 6 (D) 7.2 (E) 15

Click here to see answer by Alan3354(69443) About Me 

Question 253196: By how much does r - s exceed s - r ?
a (r-s)/(s-r) b 2(r-s) c -2 d 2(s-r) e -1

Click here to see answer by stanbon(75887) About Me 

Question 253195: In a group of 80 high school student, 30 study Spanish, 40 study French, and 25 study neither Spanish nor French. How many of 80 students study both Spanish and French?
(A) 18 (B) 15 (C) 20 (D) 16 (E) 13

Click here to see answer by stanbon(75887) About Me 

Question 253191: If p pencils cost c cents, how many pencils can be bought for d dollars?
A) dp/c B) 100c/dp C) 100cp/d D) 100cd/p E) 100dp/c

Click here to see answer by nerdybill(7384) About Me 

Question 253181: Which of the following equal √|64-100| ?
(A) – 6 (B) 5 (C) 6 (D) 4 (E) 10

Click here to see answer by rfadrogane(214) About Me 

Question 253178: What is the greatest common factor of 105 and 126?
(A) 3 (B) 7 (C) 9 (D) 21 (E) 35

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

Question 253169: If x is between 0 and 1, which of the following increases as x increases ?
I. 1 - x^2
II. x – 1
III. 1/x^2
(A) I and II (B) II and III (C) I and III (D) II only (E) I only

Click here to see answer by drk(1908) About Me 

Question 253155: The equation of a line is given below. Find the slope of a line that is A. parallel to the line with the given equation, and B. perpendicular to the line with the given equation. y = -3/7x - 6
A line parallel to the given line has a slope ___
A line perpendicular to the given line has a slope ___

Click here to see answer by Earlsdon(6294) About Me 

Question 253154: Use the given equations to write an equation for the line in point-slope form and in slope intercept x = -2/5 and y-intercept = 5.
Click here to see answer by drk(1908) About Me 

Question 253153: Find the slope of the line passing through the pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical (-5,6) and (5,3)
Click here to see answer by drk(1908) About Me 

Question 253272: Help please! Is this solvable?
The sum of a fraction and its reciprocal is 13/6. What is the fraction?

Click here to see answer by drk(1908) About Me 
Question 253272: Help please! Is this solvable?
The sum of a fraction and its reciprocal is 13/6. What is the fraction?

Click here to see answer by Greenfinch(383) About Me 
Question 253272: Help please! Is this solvable?
The sum of a fraction and its reciprocal is 13/6. What is the fraction?

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

Question 253312: tamera has 2 sisters. One of the sisters is 7 years older than tamera. The other sister is 3 years younger than tamera. The product of tameras sisters ages is 24. How old is tamera?
Click here to see answer by richwmiller(17219) About Me 

Question 253434: Carla and David were candidates for a student government office. A total of 8532 votes were cast for these two candidates, and Carla won by getting 692 more votes than David. How many votes did each candidate get?
Click here to see answer by richwmiller(17219) About Me 

Question 253458: A fence 320 feet long has wooden posts each 40 feet apart How many posts are there?
(A) 8 (B) 7 (C) 10 (D) 11 (E) 9

Click here to see answer by nerdybill(7384) About Me 

Question 253456: A box of 12 tablets cost 21 cents. The same brand is packaged also in bottles containing 100 tablets and sells for $1.50 per bottle. What is the saving, in cents, per dozen tablets when the larger amount is purchased?

(A) 3 (B) 4.5 (C) 1 (D) 12 (E) 20

Click here to see answer by vksarvepalli(154) About Me 

Question 253478: A clock loses 10 minutes each day. How many days will it take to reach a point where the clock will indicate the correct time?
(A) 36 (B) 72 (C) 120 (D) 132 (E) 6

Click here to see answer by vksarvepalli(154) About Me 

Question 253483: Tamika’s salary is $26,000. Joe’s salary is $24,500. At the end of each year, Tamika is given a $500 raise and Joe is given an $800 raise. After how many years will Joe and Tamika be earning the same amount ?
(A) 2 (B) 3 (C) 4 (D) 5 (E) 6

Click here to see answer by vksarvepalli(154) About Me 

Question 253481: Four consecutive multiples of 10 have a sum of 300. What is the least of these numbers ?
(A) 20 (B) 30 (C) 40 (D) 50 (E) 60

Click here to see answer by vksarvepalli(154) About Me 

Question 253480: n is even integer and 10 < n < 19 What is the arithmetic average of all possible value of n ?
(A) 14 (B) 14.5 (C) 15 (D) 15.5 (E) 30

Click here to see answer by vksarvepalli(154) About Me 

Question 253477: In 43 ounces of solution there are 8 ounces of salt. How many ounces of salt are needed to make 172 ounces of solution?
(A) 32.4 (B) 33 (C) 40 (D) 32 (E) 41

Click here to see answer by vksarvepalli(154) About Me 

Question 253459: A minor league baseball team plays 154 games in a season. On a certain date a team has won 40 and lost 20 games. How many of the remaining games must the team win to finish the season winning approximately 65 percent of the games?
(A) 60 (B) 80 (C) 90 (D) 94 (E) 100

Click here to see answer by vksarvepalli(154) About Me 

Question 253455: Because of a decrease in available manpower, a toy factory reduced its monthly output by 20 percent. What is the necessary percent increase in manpower to bring the output up to normal production?
(A) 25% (B) 20% (C) 50% (D) 120% (E) 125%

Click here to see answer by Alan3354(69443) About Me 

Question 253457: If 7 pounds of variety p tea is worth 5 pounds of variety q tea, and 3 pounds of variety p tea is worth x pounds of variety q tea, then the numerical value of x is
a 5/7 b 1 2/3 c 2 1/7 d 3 5/7 e 4 1/5

Click here to see answer by Greenfinch(383) About Me 

Question 253492: In an election between two candidates, the winner received 55% of the 17,000 votes. The loser received the remaining votes. How many more votes did the winner receive than the loser ?
(A) 500 (B) 1,700 (C) 3,000 (D) 7,650 (E) 9,350

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

Question 253493: The President of France delivered a 3 1/2 hour speech beginning at 5 p.m. in Paris. The speech was broadcast live to New York. The time in Paris is 6 hours ahead of New York Time. What was the time in New York when the speech ended?
(A) 8:30 a.m (B) 11:30 a.m. (C) 2:30 p.m. (D) 5:30 p.m. (E) 7:30 p.m.

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

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