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

Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)

Question 34215: For what value(s) of x is the reciprocal of x+1 equal to x-1?
Click here to see answer by dimndskier(8)

Question 34215: For what value(s) of x is the reciprocal of x+1 equal to x-1?
Click here to see answer by stanbon(57967)

Question 34251: Jenny, Katy and Bob walked 375 miles total in a walk-a-thon to raise money for the Children's Special Olympics. Jenny walked two-thirds the miles that Bob walked. Katy walked 5 more miles than Bob. How many miles did each of them walk?

Click here to see answer by mukhopadhyay(490)

Question 34250: please help me solve this word problem. It is a PUZZLE WORD PROBLEM.

Mary is three years older than her twin brothers. Next year, the sum of the ages of the three will be exactly 102. How old are they now?

Anything about this problem would be helpful. Thanks =]
Click here to see answer by fanism(39)

Question 34337: A mixture of 30 lbs. of candy sells for $1.10 a pound. The mixture consists of chocolates worth $1.50 a pound and chocolates worth 90¢ a pound. How many pounds of each kind were used to make the mixture?
Click here to see answer by fanism(39)

Question 34434: Please help with solving these Quadratic by Factoring.
66. Rectangular stage. One side of a rectangular stage is 2 meters longer than the other. If the diagonal is 10 meters, then what are the lengths of the sides?
96. Venture capital. Henry invested $12,000 in a new restaurant. When the restaurant was sold two years later, he received $27,000. Find his average annual return by solving the equation 12,000(1+r)^2=27,000.

Click here to see answer by Paul(988)

Question 34422: You are buying flowers to hand out at a school dance. Roses cost $30 for a dozen but cost more if bought individually. With the money you have, you can buy 7 dozen and 4 single roses, or 64 single roses. How much is one rose? How much money do you have?
Click here to see answer by hydromojo(20)

Question 31898: Five men took turns weighing themselves on a scale. However, they weighed each other two at a time, ten times total , so that every possible combination of two men was weighed. The scale had the following readouts for the pairs: 236 pounds, 244 pounds, 228 pounds, 250 pounds, 258 pounds, 230 pounds, 246 pounds, 238 pounds, 242 pounds, and 252 pounds.
How heavy was the heaviest man?
Click here to see answer by venugopalramana(3286)

Question 34384: A six foot tall person drops an object from the top of a building that is 723 feet tall. The height of the "H" of the object after "T" seconds is given by the equation H = -16T + 729. FInd how many seconds it will take the object to reach the ground.
I got an answer of 45 seconds but I don't think it is correct. can you show me how to work this out.
Click here to see answer by hydromojo(20)

Question 34539: Reggie works at Dunkin Doughnuts. A 10 oz cup of coffee costs $1.09, a 14 oz cup costs $1.29, and a 20 oz cup costs $1.49. During one busy period, Reggie served 34 cups of coffee, emptying 5 96 oz pots while collecting $46.00. How many cups of each size did Reggie fill? Can this problem be solved? Why or Why not?
Click here to see answer by Prithwis(166)

Question 34543: A Square with and area of 16 is partitioned into four congruent small squares. What is the area of the cirle that passes through the centers of the four similar squares?
Click here to see answer by Earlsdon(6294)

Question 34596: The prices of tickets for the local rock concert were $16 for Friday night and $28 for Saturday night. The total attendance for the two nights was 1090. If the total receipts were $24,232, how many people attended Saturday night? Let X = number of people that attended Friday’s concert and Y = number of people that attended Saturday’s concert.
I dont understand how to solve it.
Click here to see answer by checkley71(8403)

Question 34646: Suppose the sum of the 151st term and the 251st term of an arithmetic sequence is 10. Find the sum of the first 401 terms of the sequence. Provide 3 examples of such a sequence.
Click here to see answer by venugopalramana(3286)

Question 34647: Suppose a rope is to be strung from the tops of two posts of heights 10 feet and 8 feet that are 24 feet apart. The rope needs to be staked to the ground between the two posts. What is the shortest rope that can possibly be used? How far from the taller post should it be staked?
Click here to see answer by venugopalramana(3286)

Question 34649: If a, b, and c are consecutive positive integers, show that 6/5<=A/(B+C) +B/(C+A)+C/(A+B)<=2
Click here to see answer by venugopalramana(3286)

Question 34662: Suppose a rope is to be strung form the top of two post of hights of 10 and 8 feet that are 24 feet apart. The rope needs to be staked to the ground between the two post. What is the shortest rope that can possible be used? How far from the taller post should it be staked?
Click here to see answer by checkley71(8403)

Question 34660: If a,b, and c are consective positive integers, show that (6/5)<= (a/(b+c)) + (b/(a+c)) + (c/(a+b)) <= 2
Click here to see answer by mukhopadhyay(490)

Question 34657: Suppoes the sum of the 151st and the 251st are of an arithmetic seuqence is 10. Find the sum of the first 401 terms in the sequence. Provide 3 examples.
Click here to see answer by mukhopadhyay(490)

Question 35025: Popcorn is sold in two sizes. Large at $2 and Giant at $3.The student's popcorn sales were $51.They sold 20 bags in all.How many giant bags were sold?
Click here to see answer by stanbon(57967)

Question 35050: Hello, If you could help me, I would really apprecite it!!!
A theater has n rows of seats and the number of seats in each row is 4 less than the number of rows. Which of the following represent the total number of seats in the theater?
a. n(n-4)
b. n+(n-4)
c. n^2+4
d. n(4-n)
e. n^2-4
Thanx for all your help in advance.
-Kristin
Click here to see answer by longjonsilver(2297)

Question 35067: I have no clue how to solve, please help. I need to solve for tonight in order to get extra credit before we take finals on Monday. The problem is : A circular table is placed into the corner of a room, touching both walls which are perpendicular to each other. A point on the edge (circumference) of the table is one foot from one wall and six inches from the other wall. What is the diameter of the table?
Click here to see answer by venugopalramana(3286)

Question 35105: Please help me . The problem is : If you hang a cable(like a suspension bridge) between two points, it may look like a parabola but it is not. What is the equation of a cable suspended between two points? Thank you for any assistance, my class is in about 11/2 hour and I don't know where to start.
Click here to see answer by stanbon(57967)

Question 35122: Heather rolls a 6-sided number cube 3 times. What is the probability that she will roll a 6 all 3 times?
Click here to see answer by checkley71(8403)

Question 35452: The swinomish planning office has 300 feet of fencing and wants to enclose a rectangular area of 3600 square feet to protect a cultural site. What should the length and width of the fenced area be.
Click here to see answer by rapaljer(4667)

Question 35403: Please help I'm trying to prepare myself for my final...
How tall is the water tower if BA=100ft, CA=80ft ?

Click here to see answer by rapaljer(4667)

Question 35573: Thanks for your help---
A company makes two models of a product. The times (in hours) required for assembling, painting, and packaging are as follows:
assembly (model a takes 2.5) (model b takes 3)
painting (moel a takes 2)(model b takes 1)
packaging (model a takes .75)(model b takes 1.25)
The total times available for assembling, paiting, and packaging are 4000 hours, 2500 hours, and 1500 hours, respectively. The profits per unit are $50 for model A and $52 for model B. How many of each should be made to obtain a maximum profit? I have a final Wed if you can help thank you thank you :)
Click here to see answer by narayaba(40)

Question 35589: Without the use of a calculator, list the numbers 2^1/2, 3^1/3, 5^1/5 in order from largest to smallest.
Click here to see answer by Nate(3500)

Question 35597: (7+(48^1/2))^1/2 + (7-(48^1/2))^1/2
Click here to see answer by rapaljer(4667)

Question 35593: Three man check into a room the cost $30 each paying $10. Later they are told by the bellboy that there was a mistake and that the room was actually only to cost $25, so $5 was retunrned to the men. Each of the men took a dollar and the remaining $2 was given to the bellboy. Therefore, each man spent $9 of a total $27, and they gave $2 to the bellboy for a grand total of $29 paid. What happened to the other $1?
Click here to see answer by rapaljer(4667)

Question 35669: Three man check into a room that costs $30 each paying $10. Later they are told by the bellboy that there was a mistake and that the room was actually only to cost $25, so $5 was returned to the men. Each of the men took $1 and the remaining $2 was given to the bellboy. Therefore, each man spent $9 for a total of $27, and they gave $2 to the bellboy for a grand total of $29 paid. What happened to the other $1?
Click here to see answer by rapaljer(4667)

Question 35670: If angles A, B, and C are the sides of a triangle such that sin(A+B)=1/cosC and cos(A+B)=cosC, then show that the triangle is a right triangle.
Click here to see answer by venugopalramana(3286)

Question 35667: Without using a calculator, list the numbers square root of 2, cube root of 3, and fifth root of 5 in order from largest to smallest.
Click here to see answer by venugopalramana(3286)

Question 35672: Show that (7+(48)^(1/2))^(1/2) + (7-(48)^(1/2))^(1/2) is a rational number
Click here to see answer by venugopalramana(3286)

Question 35744: Solve and please show all work
If Brenda can clean a house in two hours and Kenny can clean a house in 3.5 hours, how long will it take them to clean the house if they can work together?
Thanks!
Click here to see answer by venugopalramana(3286)

Question 35835: This is the word problem and I do not know what formula to apply.
Tom and John both live in Town A. Ond day, they were meeting at the local pub. When they decided to see thei old friendin Town B. Each decided to take their own route. Early morning, they mett to start their journey. Tom will only take known paths, thus he starts walking on a road traveling due East. After 4 hours of walking, he comes to a cross road. A sign indicated that Town A is now 3 miles away. The sign also show an arrow for Town B and its distance, 4 miles. Tom starts walking in the direction of Town B, which is due North. After 6 hours, he finally reaches Town B.
John, starts walking along a river. The river crosses both Town A and Town B in a straight line. John soon finds this route is harder since he has to make his way through thick brush. After 10 hours of extreme physical effort, he finally reaches Town B. To the amazement of both, they both reach Town B at the same time.
1. How far did John have to walk?
2. What was the speed of Tom and John in miles per hour?
Click here to see answer by stanbon(57967)

Question 35893: For security reasons, a company is planning to enclose a rectangular area of 11200 sq.m in the rear of its factory.one side will be bounded by the building aand the other sides will be fenced If 300m of fencing be used what will be the dimensions of the rectangular area.
answer: let L be the length and Bbe the breadth of the rectangular area.
hence Area = L times B = 11200.
Perimeter= 2((L+B)
ONE SID IS BOUNDED BY THE FACTORY HENCE, 300= 2L+B. i can't solve the quadratic eqn
hence 300 = 2L + (11200/L)

Click here to see answer by Paul(988)

Question 35937: A rectangular garden has dimension of 55 yds by 40 yds if a diagonal path that is exactly 1 yard wide is built through the garden. What is the ares of the path?
Click here to see answer by checkley71(8403)

Question 35952: I really dont even know where to start. Translate the following into a quadratic equation, and solve it:
The length of a rectangular garden is three times its width; if the area of the garden is 75 square meters, what are its dimensions?
Click here to see answer by stanbon(57967)

Question 35996: If a and b are distinct real numbers such that a-b and a^2-b^2 are rational, must a and b be rational?
Click here to see answer by venugopalramana(3286)

Question 35995: If a, b, and c are integers and are the sides of triangle ABC such that b=a(a-c), show that sin(B)/sin(A) is an integer
Click here to see answer by venugopalramana(3286)

Question 35998: Suppose that an isosceles triangle has sides of length a, a, and b and is such that cos(2A)=sin(B). Show that sin^2(B)=-2sin(A)cos(A)cos(B).
Click here to see answer by venugopalramana(3286)

Question 36056: 1. A function f is called even if f(-x)= f(x) and it is called odd if f(-x)= -f(x). Show that every function f can be written as the sum of an even function and an odd function.
Click here to see answer by kev82(148)

Question 35939: If a and b are distinct real numbers such that a-b and a^2 -b^2 are rational, must a and b be rational?
Click here to see answer by kev82(148)

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