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

Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)

Question 1054871: Two bags had 50 kilograms of sugar each. After taking out 3 times as much sugar from bag one than bag two, bag one had half as much sugar left as bag two. How much sugar is left in each bag?
Click here to see answer by josmiceli(19441)

Question 1054877: Hi..
on a clock the length of the hour hand is 3cm shorter than the minute hand. How much further does the minute hand travel compared to the hour hand in 12 hours if the hour hand is 5cm in length.
Im having problems understanding the textbook solution.
Thanks
Click here to see answer by ikleyn(52747)

Question 1054867: There is a number written on the board. One student increased the number by 23, but another student decreased the number by 1. The first student�s result was 7 times greater than the result of the second student. What is the number written on the board?
Click here to see answer by ikleyn(52747)

Question 1054870: Watermelon one is 2 kilograms lighter than watermelon two and 5 times lighter than watermelon three. Watermelons one and three together are 3 times heavier than watermelon two. Find the weight of each watermelon.
Click here to see answer by josgarithmetic(39613)

Question 1054866: Team one had 4 times less people than team two. After 6 people quit team two and 12 people were transferred to team one, both teams became equal. How many people were there in team one?
Click here to see answer by Alan3354(69443)

Question 1054869: A box had twice as many grapes as a basket. After 2 kilograms were added to the basket it contained 0.5 kilograms more than the box. How many kilograms of grapes did the basket contain?

Click here to see answer by Theo(13342)

Question 1054837: Hi
today nigel is twice as old as jack.4 year s ago, nigel was 3 times as old as jack. How old will nigel
be in another 5 years.
thanks
Click here to see answer by jorel555(1290)

Question 1054934: 1400 students went to a game. At most 70 students could sit in a section together. How many sections would this take.

Click here to see answer by Alan3354(69443)

Question 1054956: Book A weighs 1.2 pounds and Book B weighs 1.3 pounds. If there are a total of 20 of these books in a box and the total weight of the books is 25.3 pounds, how many of each type of book are in the box? I set up A+B=20; B=20-A; and 1.2A+1.3B-25.3. But I can not figure out from there, please advise.
Click here to see answer by ikleyn(52747)

Question 1054957: A rectangular field has a length of 50 yards and a width of 40 yards. What is the distance from one corner of the field to the opposite corner, to the nearest yard?
Click here to see answer by ikleyn(52747)

Question 1054961: Hi
a circle is drawn on a number plane with the centre at (3,2) the circumference passes thru (3,-2)
What is the area of the circle.
now I used the distance formula and found the radius to be the square root of -16!
The textbook solution says the radius is 4 units.
where did I go wrong?
Thanks
Click here to see answer by ikleyn(52747)

Question 1054951: The manager of a store that specializes in selling tea decides to experiment with a new blend. She will mix some Earl Grey tea that sells for $4 per pound with some Orange Pekoe tea that sells for $2 per pound to get 200 pounds of the new blend. The selling price of the new blend is to be $2.50 per pound, and there is to be no difference in revenue from selling the new blend versus selling the other types. How many pounds of the Earl Grey tea and Orange Pekoe tea are required?
Click here to see answer by addingup(3677)

Question 1055032: Strontium 90 decays at a constant rate of 2.44% per year. Therefore, the equation for the amount P of strontium 90 after t years is P =P0e -0.244t. How long will it take for 15 grams of strontium to decay to 5 grams? Round answer to 2 decimal places.
Click here to see answer by josmiceli(19441)

Question 1055109: Two water filters discharge into the same container. Filter A discharges at the rate of 16 quarts per hour and filter B at the rate of 3.5 quarts every 15 minutes. Determine capacity of the smallest container that can be filled in an integral (whole) number of minutes by either filter.
Let C = capacity of container.
1 hour = 60 minutes.
My attempt:
Filter A - 16 quarts per hr. = 4 quarts every 15 min.
Filter B - 3.5 quarts every 15 min.
Total 7.5 quarts every 15 min.
30 quarts per hr.
Unsure how to proceed. Thanks.

Click here to see answer by ikleyn(52747)

Question 1055147: A train is moving at the rate of 8 mi/h along a piece of circular track of radius 2 500 ft. Through what angle does it turn in 1 min?
Click here to see answer by Alan3354(69443)

Question 1055146: The velocity of the plane in still air is 125 kph. The velocity of the wind due east is 25 kph. If the plane travels east and returns back to its base again after 4 hours, what distance does the plane travels due east?
Click here to see answer by ewatrrr(24785)

Question 1055163: You spend $28 on ingredients to make cookies. You charge $4 per container of cookies. How many containers do you need to sell to earn $20 in profit?
Click here to see answer by josmiceli(19441)

Question 1055023: a mail order company adds a shipping and handling fee of $4 for any order that weighs upto 10lb with an additional 40 cents for each pound over 10lb. find a piecewise defined function S for the shipping and handling fee on an order of x pounds
Click here to see answer by jorel555(1290)

Question 1055188: the digit 1 is used 689 times in the page numbers of a book .how many pages does the book have ?
a) 1024 b) 1124 c) 1134 d) 1224 e) 1234
Click here to see answer by Edwin McCravy(20054)

Question 1055218: Josephine fixes cars at the rate of $50 an hour. She also charges a cleanup fee of $30. Write an expression for her total charges.
Click here to see answer by stanbon(75887)

Question 1055159: An engineer has just borrowed 8000 from a local bank at the rate of 1% per month on the unpaid balance. His contract states that he must repay the loan in 35 equal monthly installments. How much money must he repay each month?
Click here to see answer by Fombitz(32388)

Question 1055282: Calculate the total cost of the following items at 5% vat (a) deep freezer 15,000 (b) car 350,000 (c) computer 150,000

Click here to see answer by ewatrrr(24785)

Question 1055285: In a supermarket 20% discount is given on an item that cost 9,800 naira what is the discount price
Click here to see answer by Fombitz(32388)

Question 1055264: 1. One number is 9 more than 2 times another. Their product is 5 more than 3 times their sum. Find the numbers. Answer in the form of paired points with the lowest of the two integers first.
2. A company can manufacture x hundred items for a total cost of C=400+1100 x-100x^2. Find x if the total cost is $3,200.
3. A company that manufactures hair ribbons knows that the number of ribbons it can sell each week, x, is related to the price p per ribbon by the equation x=900-100p. At what price should the company sell the ribbons if it wants the weekly revenue to be $1,400? (Remember: The equation for revenue is R=xp).
4. A gun fires a bullet almost straight up from the edge of a 160-foot cliff. If the bullet leaves the gun with a speed of 636 feet per second, its height at time t is given by h(t)=-16t2+636t+160, measured from the ground below the cliff. When will the bullet land on the ground below the cliff? (Hint: What is its height when it lands? Remember that we are measuring from the ground below, not from the cliff.)
The bullet will land after __ seconds.
5. If a rocket is fired vertically into the air with a speed of 240 feet per second, its height at time t seconds is given by h=-16t2+240t.
At what time(s) will the rocket be the following number of feet above the ground?
a. The rocket will 864 feet high after __ seconds.
b. The rocket will 896 feet high after __ seconds.
c. How long will the rocket be in the air? (Hint: How high is it when it hits the ground?)
The rocket will be in the air for __ seconds.
Click here to see answer by ikleyn(52747)

Question 1055287: A personal trainer buys a weight bench for $500 and some weights (w) for $24 each. The trainer has a budget of $860.00. How many weights can the personal trainer purchase?

Click here to see answer by Fombitz(32388)

Question 1055283: A second hand car cost 450,000 including vat at 4 and half percent (a) find the cost of the car excluding vat (b) find the vat to the nearest naira

Click here to see answer by Theo(13342)

Question 1055341: A mixture of cement, sand and gravel is in the ratio 1-2-4. Determine amounts of each needed for 1 cu. yd. of concrete. (33 1/3% voids are allowed in the sand and 45% voids allowed in the gravel).
Let x = cu. yds. of cement.
Let y = cu. yds. of sand.
Let z = cu. yds. of gravel.

Equations provided with problem:
1) x + 2/3 y + .55z = 1 (cu. yd.)
2)y = 2x, z = 4x (from ratios of mixture).
Placing 2) in 1).
x + 4x/3 + 2.2x = 1
3x + 12x + 6.6 = 1
21.6x = 1
x = 0.046
Not the answer with problem. Where am I correct? Thanks.

Click here to see answer by stanbon(75887)

Question 1055346: you have been keeping a record of how long it takes you to get home from work during good weather. The times range from 20 minutes to 45 minutes. Let t represent the slowest time(in seconds). Write an absolute value equation that describes the situations.

Click here to see answer by stanbon(75887)

Question 1055384: Margie calculated that she would spend $175 on school supplies this year. She actually spent $97.50 on school supplies. What is Margie�s percent of error?

Click here to see answer by Theo(13342)

Question 1055383: Determine the largest integer less than or equal to 2016 that leaves a remainder of 3 when divided by 7 and leaves a remainder of 4 when divided by 11.
Click here to see answer by Theo(13342)

Question 1055517: Ref. Question 1055341:
Answer given for x: .22 cu. yds.
How was the answer obtained ? Thanks.
Click here to see answer by KMST(5328)

Question 1055529: A mechanic charges $50 to diagnose a problem in a vehicle and $65 per hour for labor to fix it.
a.) write a function to represent the total cost.
b.) what is the value of the function for an input of 4 hours? Hint F(x)=4
Click here to see answer by stanbon(75887)

Question 1055537: for f(x)=-5x^2-4, find f(-3),and f(3)
F(-3)=
F(3)=
Click here to see answer by Alan3354(69443)

Question 1055542: complete the table so that the relation will NOT be a function. (put answers in the blanks)
x | y
_____|____ Explain your choices for numbers
-3 | 10
4 | __
6 | 12
__ | -3
Click here to see answer by stanbon(75887)

Question 1055534: The total height of a building and the flagpole on the roof is 189 feet. The building is 8 times as high as the flagpole. How high is the building
Click here to see answer by Alan3354(69443)

Question 1055611: calculate distance between the x and y intercept given y=2x+6
Click here to see answer by josmiceli(19441)

Question 1055349: Ref. Question 1055341;
Just for info:
Answers given with problem => x = .22 cu. yds. of cement, y = .44 cu. yds. of sand (y = 2x), z = .88 cu. yds. of gravel(z = 4x).
My question: How did they obtain .22 for x ? Thanks again.

Click here to see answer by Fombitz(32388)

Question 1055468: The number of A's Jessie and Allison get in math depends on the number of hours each study. If y stands for the number of A's and x stands for the number of hours studying, the equation for each student is:
Jessie: y = 2x + 2
Allison: y = 5x - 1

If the girls want to study the same amount and get the same number of A's, how many hours would that be? What would the number of A's be?
Click here to see answer by Fombitz(32388)

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, 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