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

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Question 653092: At the beginning of the bake sale, Mary set aside 4 pies for herself. Karen then bought half of the remaining pies, and 5 more pies were sold during the sale. When the sale was over, there were 3 pies remaining. How many pies were there before the bake sale started?
Click here to see answer by lwsshak3(11628)

Question 653086: A large drum filled with water is to be drained using a small opening at the top. one inch diameter hose or three 1/2 inch hoses can be used to siphon out the water. would it be faster to use, the one inch hose or the three 1/2 inch hoses? why?

Click here to see answer by ptaylor(2198)

Question 653144: Jumbo Market makes $0.10 on a head of lettuce and $0.08 on a bunch of carrots. Last week, a total of 12,900 heads of lettuce and bunches of carrots were sold, with a profit of $1,174. How many heads of lettuce and how many bunches of carrots were sold?
Click here to see answer by stanbon(75887)

Question 653180: Using L'Hopital's Rule, Find the lim of x approaches infinity = (4x�-5x/1-3x�)
Click here to see answer by Edwin McCravy(20054)

Question 653206: A jogger can bicycle 30 miles in the same time as he can jog 10 miles. If he can ride 10 miles per hour faster than he can jog, how fast can he jog?
Click here to see answer by josmiceli(19441)

Question 653209: i need the formula for this problem i need to fill a number of containers with a mix that is 2.5 cubic feet of one thing to 1 cubic foot of another. the containers are .668 cubic feet in volume. i need to know how much of each thing i need to buy to fill 247 containers. the items only come in the 2.5 cubic foot amounts and the 1 cubic foot amounts. i understand the total volume but how to i get from total volumes to how much of each thing?
Click here to see answer by rfer(16322)

Question 653275: Before the final exam, a student has test scores of 72,83,65,73, and 62. If the final exam counts as one-third of the final grade, what score must the student receive in order to have a final average of 76?
Click here to see answer by Shana-D77(132)

Question 653296: Can someone please explain to me in detail what this notation means:
As lim x--> 3-
f(x)= - infinity.
I'm having difficulty in understanding what this particular problem is trying to state. Thanks.
Click here to see answer by stanbon(75887)

Question 653314: A rectangular petting zoo is 144 inches long and 108 inches wide. How many inches of fencing is needed to enclose it?
Click here to see answer by Shana-D77(132)

Question 653214: i need the formula for this problem i need to fill a number of containers with a mix that is 3 cubic feet of a to 1 cubic foot b. the containers are .668 cubic feet in volume. i need to know how much of each thing i need to buy to fill 247 containers. the items only come in 2.5 cubic foot amounts for part a and 1 cubic foot of part b. i understand the total volume but how to i get from total volumes to how much of each thing?
Click here to see answer by ankor@dixie-net.com(22740)

Question 653531: a photo has been reduced from 7 by 5 to 1.75 by 1.25 what is the scale factor of the reduction
Click here to see answer by solver91311(24713)

Question 653533: Alex purchased a 6 hour calling card. He has used t minutes of access time. Write an algebraic expression to represent how many minutes he has remaining and identify the units for the expression.
Click here to see answer by solver91311(24713)

Question 653849: A classroom contains an equal number of boys and girls. If 8 girls leave, twice as many boys as girls remain. What was the original number of students present?
Click here to see answer by ankor@dixie-net.com(22740)

Question 653999: a rectangular plot of land has a perimeter of 4,800 ft. A farmer wants to build a fence aound this plot of land. How long will the fence be if the plot of land is 4 times larger then the width?
Click here to see answer by checkley79(3341)

Question 654364: Suppose a basketball player is an excellent free throw shooter and makes 97% of his free throws (i.e., he has a 97% chance of making a single free throw). Assume that free throw shots are
independent of one another. Find the probability that the player will make three consecutive free
throws.
A) 0.9127 B) 0.0873 C) 1 D) 0
Click here to see answer by schmidtmomto6(24)

Question 654366: In a class of 40 students, 22 are men, 10 are earning an A, and 7 are men that are earning an A. If a student is randomly selected from the class, find the probability that the student is a man
given that the student is earning an A.
A) 7/10 B) 5/11 C) 7/22 D) 11/20
Click here to see answer by schmidtmomto6(24)

Question 654367: In a class of 40 students, 22 are women, 10 are earning an A, and 7 are women that are earning an A. If a student is randomly selected from the class, find the probability that the student is earning
an A given that the student is a woman.

Click here to see answer by schmidtmomto6(24)

Question 654373: Helena has the same number of $1, $5, $10 bills. The total value is $128. How many of each bill does she have?
Click here to see answer by schmidtmomto6(24)

Question 654360: Suppose that 5% of people in society are �nerds�.
Professor R. U. Kidding has spent his lifetime trying to invent a test to easily and quickly determine whether or not an individual is a �nerd�.
The professor has finally invented a screening test. The test, however, is only 85% reliable. Specifically, the test results in false positives 15% of the time. In other words, 15% of the time a test will conclude a person is a �nerd� when they are really not a nerd. However, if the person actually is a nerd, the test will conclude they are a nerd with 100% reliability.
Professor R. U. Kidding has recently administered the test to his good friend Johnny Crabcakes. The test determined that Johnny Crabcakes is a nerd.
Johnny Crabcakes, after hearing the results, said nervously �wow, given the reliability of the test, there is an 85% chance that I am really a nerd.�
Is Johnny Crabcakes right that since he tested positive that there is an 85% chance he is a nerd?
Click here to see answer by lynnlo(4176)

Question 654564: mike has 6 times as many tomatoes as cindy. together they have 42 tomatoes. how many tomatoes does mike have?
Click here to see answer by checkley79(3341)

Question 654551: If the area of a square yard has 14,400 square feet the owner wishes to build a fence around the yard. fencing cost 8 dollars a linear square foot. explain the steps you must take to find the cost of the fence.
Click here to see answer by checkley79(3341)

Question 654622: a drum container of oil holds 585 gallons. how many containers each holding 4.5 gallons will be needed if all the oil is to be transferred to the smaller containers?
Click here to see answer by josmiceli(19441)

Question 654747: Jack drove 600 miles to a convention in Washington D.C. On the return trip he was able to increase his speed by 10mph and saved 3 hours of driving time. Find his rate for each direction.
Click here to see answer by lwsshak3(11628)

Question 654847: If a couple has six oys and six girls, how many gender sequences
are possible?
Click here to see answer by MathLover1(20849)

Question 654871: smith engineering is in the process of reviewing the salaries of their surveyors. during this review, the company found that an experienced surveyor can survey a roadbed in 7 hours. an apprentice surveyor needs 8 hours to survey the same stretch of road. if they work together, how long will it take?
Click here to see answer by DrBeeee(684)

Question 655017: A Basketball team scored 87 points in 2 point and 3 point baskets. If the 2 point baskets had been 3 point baskets, and the 3 point baskets had been 2 points, the team would have scored 93 points. Find how many 2 point baskets and how many 3 point baskets the team scored.
Click here to see answer by nerdybill(7384)

Question 655092: dried fruit sells for .60 per oz. and nuts sell for .50 per oz.
the store wants to make 20 oz. of mixture that sells for .54 per oz.
how many ounces of dried fruit and nuts should they mix?
Click here to see answer by checkley79(3341)

Question 655171: 9. If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, and Jack can mix 20 drinks in 15 minutes, how much time will it take all 3 of them working together to mix the 20 drinks?
I have tried averaging drink times. How long it takes for each person to make a drink and a few other things. I have not done word problems for 25 years so I am sure there is an easy way to solve it but my brain can not think of it. Thanks in advance for your help, I greatly appreciate!
Click here to see answer by nerdybill(7384)

Question 655277: if a 40-inch board is cut into three pieces so that the second piece is 4 times as long as the first piece and the third piece is 5 times as long as the first piece. If x represents the length of the first piece, find the length of all three pieces
Click here to see answer by checkley79(3341)

Question 655217: jane pays for gas at 1.36 pre gallon her car gives 37 a mile taking trip of 630 miles how much she have to pay for gas
Click here to see answer by rfer(16322)

Question 655260: How Many Oranges?
Marjorie, Colleen, and Bob picked oranges together. They were tired after picking a large number of oranges and so fell asleep. Marjorie woke first and decided to take her third of the oranges and head home. She counted the oranges, and found that the number was divisible by 3 if she took one of the oranges first. Marjorie took one orange and then took one-third of the remaining oranges. She left quietly.
Bob awoke a short time later, noticed that Colleen was sleeping, and presumed Marjorie had gone for a walk. He decided to head home because he wasn�t feeling well. Not realizing that anyone had left, he counted the oranges and found that the number of oranges was two more than a number that could be easily divided by 3. So he took the two extra oranges and then one-third of what was left. He left without waking Colleen and without waiting for Marjorie to return.
Colleen finally awoke and wondered where her friends had gone. She assumed they were both busy somewhere nearby. Before she left, she counted the oranges and was surprised at how small the number was. She found that the number of oranges was one more than a multiple of three, so she took the extra orange and one third of those remaining.
1. What was the total number of oranges the friends picked?
2. How many oranges were left behind when Colleen departed?
3. Is more than one answer possible for the total number of oranges? If so, what other numbers are possible? Explain.
4. Based on the values you found in problem 3, determine a reasonable solution to the problem. Explain your answer.
5. Is it possible that five oranges remained after Colleen took her �share�? Explain.
6. Could there have been six oranges left after Colleen departed? What about 46 oranges initially? Explain
7. Find a pattern that gives all the possible numbers of oranges that the friends picked. Explain your pattern
Click here to see answer by lynnlo(4176)

Question 655409: Henry and Irene working together can wash all the windows of their house in 5 h 40 min. Working alone, it takes Henry 8 1/2h more than Irene to do the job. How long does it take each person working alone to wash all the windows?
Click here to see answer by Edwin McCravy(20054)

Question 655512: 80 people attended a baseball game. Everyone there was a fan of either the home team or the away team. The number of home team fans was 34 less than 2 times the number of away team fans.
How many home team and away team fans attended the game?
Click here to see answer by DrBeeee(684)

Question 655663: I've worked this problem out on paper and come up with one answer for plan A and a different answer for plan B. I don't know how to make them both the same. Can you help? Thanks.

A local waterpark has 2 types of season passes. Plan A cost a one time fee of $142 for admission plus $10 for parking every trip. Plan B cost a one time fee of $48 for parking plus $22 for admission every trip. How many visit must a person make for Plan A and Plan B to be equal in value?
Click here to see answer by MathDazed(34)

Question 656222: You decide to market your own computer software. You must invest $3232 on computer hardware and spend $3.95 to buy and package each disk. If each program sells for $9.00, how many copies must you sell to break even?
Click here to see answer by lynnlo(4176)

Question 656351: Jarod is putting a fence around his square lot. He wants to put 20 posts on each side of his lot. This includes one post placed in each corner.

How many posts will Jarod need?

Click here to see answer by solver91311(24713)

Question 656318: mr. sill needs to put a fence around his yard. how much fence will he need if the yard is 185 feet long and 150 feet wide? Please help
Click here to see answer by checkley79(3341)

Question 656383: How much will it cost me to drive 585 miles in a truck that gets approx. 13 miles a gallon ,if gas costs me $4.00 a gallon?
Click here to see answer by solver91311(24713)

Question 656626: Evaluate the formula 36y + 12f + i when y = 2.5, f = 2, and i = 5. Find an
interpretation for this formula.
P.s Thank you for taking your time to read this
Click here to see answer by solver91311(24713)

Question 656852: A young couple buys an appliance for $510 agreeing to pay $30 down and $20 at the end of each month until the entire debt is paid off. Express the amount P paid off in terms of number m of monthly payments.
p=
Click here to see answer by lynnlo(4176)

Question 656916: I need help on this problem, cant seem to get the right answer. Here's the question, "The airport garage charges $7 to park for the first hour and then $2.50 an hour for any additional hours. Ben paid $49.50 to park there one day when he flew to another city. How many hours was he parked at the airport?"
Click here to see answer by josmiceli(19441)

Question 656972: TO WHOM IT MAY CONCERN, CAN SOMEONE PLEASE ASSIST ME WITH THIS WORD PROBLEM. I AM NOT GOOD AT WORD PROBLEMS, I GET FRUSTRATED AND GIVE UP. THANK YOU

Use this equation to estimate the number of worms
on day 60 and on day 180. Which answer is most
accurate? Explain.

x (days) 0 20 40 80 120 160
W (worms) 50 48 45 36 20 3

Click here to see answer by solver91311(24713)

Question 657386: I am working with these word Problem and what I believe the way to solve it but I don't end up with a whole number answer. What am I doing wrong?
Loretta owns a pet shop that specializes in exotic tropical fish. In April,Loretta doubled the number of fish she had on hand,and then sold 30 of them. In May,she tripled the number of fish she had on hand, and then sold 54 of them. In June, she quadrupled the number of fish she had, and then sold 72 of them. she now had 48 fish left. How many fish did she start with?
x=fish she started with
(2x-30)+(3x-54)+(4x-72)=48
Thank You for your help!
Click here to see answer by josmiceli(19441)

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