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

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 Word Problems: Miscellaneous Word Problems Solvers Lessons Answers archive Quiz In Depth

 Question 119950: A rectangular pool is surrounded by a cement walk of uniform width. if the pool measures 6metrs by 10meters, and the total area of the pool and walk is 96sq. meters, what is the width of the walk? Click here to see answer by josmiceli(9661)

 Question 119942: A rectangle is 3cm longer and 2cm narrower than a square with the same area. Fine the dimensions of each figure. Click here to see answer by checkley71(8403)

 Question 119997: 29. A bookstore can purchase several calculators for a total cost of \$120. If each calculator cost \$1 less, the bookstore could purchase 10 additional calculators at the same total cost. How many calculators can be purchased at the regular price? Click here to see answer by josmiceli(9661)

 Question 120047: if the sides of a square are decreased by 3 cm, the area is decreased by 81 cm^2. what were the dimensions of the original square? Click here to see answer by checkley71(8403)

 Question 119965: Write a direct variation equation that has (3,11) as a solution. Then find y when x=12. Click here to see answer by ankor@dixie-net.com(15639)

 Question 120175: Solve, using two equations in two variables If you buy six pens and one mechanical pencil, you'll get only \$1 change from your \$10 bill. But if you buy four pens and two mechanical pencils, you'll get \$2 change. How much does each pen and each pencil cost? If anyone can answer this problem I would deeply appreciate it. Please and Thank You!!!! Click here to see answer by stanbon(57250)

 Question 120225: A person drove 234.8 miles and used 12.6 gallons of gas. Estimate the number of miles the car gets per gallon. Click here to see answer by checkley71(8403)

 Question 120227: A person wants to have a concrete driveway in front of their house. The driveway will measure 62 and 1/3 feet long and 19 feet wide and will be 2/3 foot thick. How many cubic yards of cement will be needed for the driveway? Click here to see answer by checkley71(8403)

 Question 120235: A storage bin for corn consists of a cylindrical section made of wire mesh, surmounted by a conical tin roof, as shown in the figure. The height of the roof is one-third the height of the entire structure. If the total volume of the structure is 2600 ft3 and its radius is 9 ft, what is its height? (Round the answer to one decimal place.) Thank you for your help!!! Click here to see answer by solver91311(16872)

 Question 120223: sam needs to get carpet for two rooms of his house. Estimate the number of square feet in the two rooms if one room measure 10 and 1/2 feet by 9 and 3/4 feet; and the other room measures 19 and 1/4 feet by 18 and 1/2 feet. Click here to see answer by checkley71(8403)

 Question 120258: a car uses 6 gallons of gasolonie on a trip of 126miles. at that rate, how much gasoline will a trip of 294 miles require? Click here to see answer by checkley71(8403)

 Question 120257: a 4-foot pole casts a shadow of 3 feet. how tall is a tree with a shadow of 6 feet. Click here to see answer by checkley71(8403)
 Question 120257: a 4-foot pole casts a shadow of 3 feet. how tall is a tree with a shadow of 6 feet. Click here to see answer by bucky(2189)

 Question 120313: Here is the question in its exact words, There are a different number of bicycles, tandem bicycles, and tricycles in the Wheel Shop. There are a total of 135 seats, 118 front handle bars (that steer the bike), and 269 wheels. How many are bicycles, tandem bicycles, and tricycles are there in the Wheel Shop? (Hint: A tandem bike has two seats. Bicycles and tricycles have one seat. All of the cycles have one set of front handle bars that steer the bike. A bicycle and tandem bike have two wheels. A tricycle has three wheels.). Please try to solve this as soon as possible, Thank You Click here to see answer by checkley71(8403)
 Question 120313: Here is the question in its exact words, There are a different number of bicycles, tandem bicycles, and tricycles in the Wheel Shop. There are a total of 135 seats, 118 front handle bars (that steer the bike), and 269 wheels. How many are bicycles, tandem bicycles, and tricycles are there in the Wheel Shop? (Hint: A tandem bike has two seats. Bicycles and tricycles have one seat. All of the cycles have one set of front handle bars that steer the bike. A bicycle and tandem bike have two wheels. A tricycle has three wheels.). Please try to solve this as soon as possible, Thank You Click here to see answer by scott8148(6628)

 Question 120337: Sam needs to get carpet for two rooms of his house. Estimate the number of square feet (square footage) in the two rooms if one room measures 10 1/2 feet by 9 3/4 feet; and the other room measures 19 1/4 feet by 18 1/2 feet. Click here to see answer by checkley71(8403)

 Question 120338: Melissa wants to have concrete driveway in front of her house. The driveway will measure 62 1/3 feet long and 19 feet wide; and will be 2/3 foot thick. How many cubic yards of cement will be needed for the driveway? Round your answer to the nearest cubic yard. [1 cubic yd = 27 cubic feet] Click here to see answer by checkley71(8403)

 Question 120347: Bette drives at 60 mph for 2 1/2 hours and at 75 mph for 1 1/2 hours. What is her average rate of speed? Click here to see answer by stanbon(57250)

 Question 120339: Sam found a number of nickels, dimes, and quarters in his room. He found three more dimes than nickels but twice as many quarters as dimes. The total value of the coins was \$5.05. How many coins of each type did Sam find? Click here to see answer by solver91311(16872)
 Question 120339: Sam found a number of nickels, dimes, and quarters in his room. He found three more dimes than nickels but twice as many quarters as dimes. The total value of the coins was \$5.05. How many coins of each type did Sam find? Click here to see answer by ankor@dixie-net.com(15639)

 Question 120354: I am really struggling with this problem. Can anyone please help? Melinda Bowen receives an annual income of \$234.50 from investing one amount of money at 6% and another amount at 5%. If the investments were interchanged, her income would increase by \$5.10. Find the amounts she invested. Click here to see answer by bucky(2189)

 Question 120446: Jimmy puts \$600 down on a new sports car. He made 54 payments of \$267 and \$782 in maintenance and repairs. Three years after paying off the car he sells it for \$4450. What is his net? Is it profit or loss? How do i find the net? someone help please thank you. Still waiting............ Click here to see answer by josmiceli(9661)

 Question 120498: The probability that San Francisco plays in the next Super Bowl is nine times the probability that they do not play in the next Super Bowl. The probability that San Francisco plays in the next Super Bowl plus the probability that they do not play is 1. What is the probability that San Francisco plays in the next Super Bowl? Click here to see answer by stanbon(57250)
 Question 120498: The probability that San Francisco plays in the next Super Bowl is nine times the probability that they do not play in the next Super Bowl. The probability that San Francisco plays in the next Super Bowl plus the probability that they do not play is 1. What is the probability that San Francisco plays in the next Super Bowl? Click here to see answer by Edwin McCravy(8882)

 Question 120538: Mike invested \$6000 for one year. He invested part of it at 9% and the rest at 11%. At the end of the year he earned \$624 in interest. How much did he invest at each rate? Click here to see answer by tutor_paul(490)

 Question 120537: A small area in front of a building is triangular in shape. The perimeter of the triangle is 37 meters. The second side is one-half of the first side in length. The third side is 3 meters less than the first side. Find the length in meters of each side of the triangular region. Click here to see answer by tutor_paul(490)

 Question 120553: Driving down a mountain ,Tom finds that he has descended 1800 ft in elevation by the time he is 3.25 miles horizontally away from the top of the mountain. Find the slope of his descent to the nearest hundredth. Click here to see answer by nabla(475)

 Question 120616: A commuter fly. A passenger train left Austin, Texas, at 12:00pm bound for Dallas, exactly 210 miles away; it traveled at a steady 50 miles per hour. At the same instant, a freight train left Dallas headed for Austin on the same track, traveling at 20 miles per hour. At this same high noon, a fly leaped from the nose of the passenger train and flew along the track at 100 miles per hour. When th efly touched the nose of the oncoming freight train, she turned and flew back along the track at 100 miles perhour toward the passenger train. When she reached the nose of the passenger train, she instatly turned and flew back toward the freight train. She continued turning and flying until, you guessed it, she was squashed as the trains collided head on. How far had the fly flown before her untimely demise? Click here to see answer by ankor@dixie-net.com(15639)

 Question 120632: I have been trying for two hours to get this, but I can't. Can someone PLEASE help??? A car and a bike set out at noon from the same point headed in the same direction. At 1:00 P.M., the car is 60 km ahead of the bike. Find how fast each travels, given that the car travels four times as fast as the bike. Click here to see answer by ankor@dixie-net.com(15639)
 Question 120632: I have been trying for two hours to get this, but I can't. Can someone PLEASE help??? A car and a bike set out at noon from the same point headed in the same direction. At 1:00 P.M., the car is 60 km ahead of the bike. Find how fast each travels, given that the car travels four times as fast as the bike. Click here to see answer by josmiceli(9661)

 Question 120637: I have been trying for two hours to get this, but I can't. Can someone PLEASE help??? Solve by using three equations and variables. I have 30 coins, all nickels, dimes, and quarters, worth \$4.60. There are two more dimes than quarters. How many of each kind of coin do I have? Click here to see answer by ankor@dixie-net.com(15639)

 Question 120712: how do you know when an equation has an infinite amount of solutions or no solution? Click here to see answer by nabla(475)

 Question 120752: Ronald wants to sell his car through a broker who charges a commission of 10% of the selling price. Ronald still owes \$11,025 on the car. Ronald must get enough to at least to pay off the loan. what is the range of the selling price? Professor Williamson counts his medterm as 2/3 of the grade and his final as 1/3 of the grade. Wendy scored only 48 on the midterm. what range of scores on the final exam would put Wendy's average between 70 and 79 inclusive? Click here to see answer by josmiceli(9661)

 Question 120749: After getting a 15% discount on the price of a new Chrysler Sebring convertible, Helen paid \$27,000. what was the original price of the convertible? Gwen bought a new Toyota Corolla. the selling price plus the 8% state sales tax was \$15,714. what was the selling price? Click here to see answer by josmiceli(9661)

 Question 120748: 1. The rate, given that the distance is 200 feet and the time is x+3 seconds. 2. The perimeter of a rectangle, given that the length is x yards and the width is 10 yards shorter. 3. gwen sold her car on consignment for x dollars. the saleswoman's commission was 10% of the selling price and Gwen received \$6570. Click here to see answer by Fombitz(13828)

 Question 120796: Car rental agency A will rent a compact car for \$35 per day and an additional charge of \$0.24 per mile. Car rental agency B will charge only \$0.16 per mile but charges \$41 per day. If Adam wanted to rent a car for three days, how many miles would Adam have to drive to make car rental agency B a better bargain? Click here to see answer by checkley71(8403)

 Question 120635: Find a counterexample to the statement “The square of a number added to the sum of the number and five is a prime number” Click here to see answer by Edwin McCravy(8882)

 Question 120820: Yvonne biked for 1 1/4 hours and traveled 12 1/2 miles. How many miles per hour did she average? Click here to see answer by josmiceli(9661)

 Question 120636: I have been trying for two hours to get this, but I can't. Can someone PLEASE help??? One number is 16 more than another. If the smaller number is subtracted from two thirds of the larger number, the result is one fourth of the sum of the two numbers. Find the numbers. Click here to see answer by ankor@dixie-net.com(15639)
 Question 120636: I have been trying for two hours to get this, but I can't. Can someone PLEASE help??? One number is 16 more than another. If the smaller number is subtracted from two thirds of the larger number, the result is one fourth of the sum of the two numbers. Find the numbers. Click here to see answer by scott8148(6628)

 Question 120819: Yvonne biked for 1 1/4 hours and traveled 12 1/2 miles. How many miles per hour did she average? Click here to see answer by checkley71(8403)

 Question 120867: Hello and good morning. I am completely bamboozled with the following problem, and have therefore no idea as to how to go about solving it. Your assistance would be greatly appreciated. Thank you. The frequency of vibration of a stretched wire when plucked varies inversely as its length and directly as the square root of its tension. If a wire that is 1.40 m long vibrates with a frequency of 376 per second (376 Hz), when its tension is 125 N: A/ What will be its frenquency if its length is increased to 2.20 m and its tension increased to 234 N? Thank you so very much. Cheers D Click here to see answer by josmiceli(9661)
 Question 120867: Hello and good morning. I am completely bamboozled with the following problem, and have therefore no idea as to how to go about solving it. Your assistance would be greatly appreciated. Thank you. The frequency of vibration of a stretched wire when plucked varies inversely as its length and directly as the square root of its tension. If a wire that is 1.40 m long vibrates with a frequency of 376 per second (376 Hz), when its tension is 125 N: A/ What will be its frenquency if its length is increased to 2.20 m and its tension increased to 234 N? Thank you so very much. Cheers D Click here to see answer by scott8148(6628)
 Question 120867: Hello and good morning. I am completely bamboozled with the following problem, and have therefore no idea as to how to go about solving it. Your assistance would be greatly appreciated. Thank you. The frequency of vibration of a stretched wire when plucked varies inversely as its length and directly as the square root of its tension. If a wire that is 1.40 m long vibrates with a frequency of 376 per second (376 Hz), when its tension is 125 N: A/ What will be its frenquency if its length is increased to 2.20 m and its tension increased to 234 N? Thank you so very much. Cheers D Click here to see answer by stanbon(57250)

 Question 120876: I have worked this problem and I'm not sure if I have done it correctly. Could someone please solve, so I can compare my work? Solve by using either the substitution method or the addition-or-subtraction method. 5a over 6 - b over 3 = 6 a + 2b = 0 Click here to see answer by scott8148(6628)

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