# 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 160787: Robin ran 5/1/3 miles on Sunday, 2/1/4 miles on Tuesday, and 3/1/2 miles on Friday. How far did she run during the week? Click here to see answer by vleith(2825)
 Question 160787: Robin ran 5/1/3 miles on Sunday, 2/1/4 miles on Tuesday, and 3/1/2 miles on Friday. How far did she run during the week? Click here to see answer by KnightOwlTutor(293)

 Question 160778: Jones and Smith together weigh 340 pounds. Find their weights if they balance a lever when Jones sits 5 feet from its fulcrum on one side and Smith sits 6 feet from the fulcrum on the other side. Click here to see answer by scott8148(6628)

 Question 160782: Find an approximate value for the rate at which the moon orbits the earth. Assume that the moon's orbit is circular. Click here to see answer by MathLover1(6815)

 Question 160772: When young MacDonald was starting his farm a long time ago, cows cost \$10 each, pigs cost \$3 each, and chickens cost \$0.50 each. He purchased at least one of each kind of animal. He paid axactly \$100 for exactly 100 animals. How many chickens did he buy? Click here to see answer by ptaylor(2052)

 Question 161091: Burt's burger barn sold 495 hamburgers today. The number sold with cheese was half the number sold without cheese. How many of each kind were sold? Click here to see answer by checkley77(12569)

 Question 161120: Juan scored five more 2-points shots than 3-points shots in his Friday basketball game. He scored two fewer free throw shots than 3-point shots. He scored 26 points in the game. How many of each shot did he make? (This question totally has my stumped. I was thinking that it didn't have enough information, but then again, why would they have the question if one can't solve it.) Click here to see answer by checkley77(12569)

 Question 161038: I have been struggling to figure out this word problem and I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!! Modeling with Linear Equations A climber left base camp at 5 a.m. to ascend a 7400-meter peak. The climber gained altitude at the rate of 240 m/h and at 8 a.m. was at the 6500-meter level. a. Find the elevation of the base camp. b. At what time did the climber reach the summit? Click here to see answer by scott8148(6628)

 Question 161150: Suppose that for some bridge the expansion gap is 16.8mm wide at 10 degrees C and decreases by .37mm for every 1 degree C rise in temperature. The book gives us the answers but we want to understand what is going on. Question 57 - The temperature rises to t degrees C. Write expressions for the temperature rise, the decrease in the width of the gap, and the new width of the gap. Question 58 - Use the expressions from Exercise 57. Write and solve an equation to find the temperature at which the gap decreases to 9.4mm. Please help us to understand these two problems...thank you so much! Click here to see answer by scott8148(6628)

 Question 161117: A 24-hour digital clock displays the hours and minutes throughout the course of a day. Such times as 2:42 and 13:31 are palindromic. What is the longest time lapse between successive palindromic times? Please help me, kind tutor, I am in desperate need of your help. Thank you so much! Click here to see answer by ankor@dixie-net.com(15747)

 Question 161204: the final grade for a particular course is calculated by dividing total points earned by total points available. there are 120 points available in the first half of the course, and 140 points in the second half of the course. if a student earns 81% in the first half of the course, how many points must the student earn in the second half in order to earn an 80% B final grade? Click here to see answer by vleith(2825)

 Question 161209: in a certain triangle the measure of one angle is double the measure of a second angle but is 10 degrees less than the measure of the third angle. [the sum of the measures of the three interior angles of a triangle is always 180 degrees.] what is the measure of each angle? Click here to see answer by vleith(2825)

 Question 161214: One hundred students were asked about two kinds of music; jazz and classical. Sixty students said they listed to jazz while 45 said they listened to classical, and 20 didn't listen to either. How many students llistened to both styles? Click here to see answer by vleith(2825)

 Question 161212: toms uncle owns a triangular piece of land. the perimeter fence that surrounds the land measures 378 yards. the shortest side is 30 yards longer than one-half of the longest side. the second longest side is 2 yards shorter than the longest side. what is the length of each side? Click here to see answer by ankor@dixie-net.com(15747)

 Question 161275: the sum of the digit's of a three digit number is 14. If the hundred's and unit's are interchanged the resulting number is 594 more than original but if the ten's and the unit's digit are interchanged, the now number is more than the original by 36. Find the number? Click here to see answer by ankor@dixie-net.com(15747)

 Question 161300: Mr. Roland, an elementary school teacher, has 24 students. Every day he picks two students to be his "special helpers" for the day. How many pairs of students are there in the class? If the school year is 190 days long, will there be enough days for every pair of children to the be "special helpers"? (Notice that the problem asks about every pair of children, not every individual child.) Explain your reasoning. Click here to see answer by stanbon(57984)
 Question 161300: Mr. Roland, an elementary school teacher, has 24 students. Every day he picks two students to be his "special helpers" for the day. How many pairs of students are there in the class? If the school year is 190 days long, will there be enough days for every pair of children to the be "special helpers"? (Notice that the problem asks about every pair of children, not every individual child.) Explain your reasoning. Click here to see answer by schrammbledeggs(41)

 Question 161340: Ken got 2/3 of a ton of gravel even though he ordered 3/4 of a ton of gravel. What fraction of his order did Ken get? a. Draw pictures to help you solve this problem. Explain why your answer is correct. b. In solving this problem, how do 2/3 and 3/4 appear in different forms? c. What are the different wholes associated with the fractions in this problem? In other words, for each fraction in this problem, and its solution, what is the fraction of? Click here to see answer by checkley77(12569)

 Question 161463: Ysidra paints a room that has 400 square feet of wall space in 2and1/2 hours. At this rate,how long will it take her to paint a room that has 720 square feet of wall space? Click here to see answer by checkley77(12569)

 Question 161450: Five times the sum of a number and 3 is the same as 3 multiplied by 1 less than twice they number. What is t he number? Click here to see answer by checkley77(12569)

 Question 161274: the sum of the digit's of a three digit number is 14. If the hundred's and unit's are interchanged the resulting number is 594 more than original but if the ten's and the unit's digit are interchanged, the now number is more than the original by 36. Find the number? Click here to see answer by scott8148(6628)

 Question 161553: Two cars depart from the same spot for the same destination. One travels at 60 miles per hour, the other at 65 miles per hour. The faster car arrives an hour before the other car. How far did they travel? PLEASE HELP! Click here to see answer by Alan3354(31538)

 Question 161557: If a grandfather clock takes five seconds to strike 6 o'clock, how many seconds will it take to strike 12 o'clock? Click here to see answer by Alan3354(31538)

 Question 161559: When a shepherd counts his sheep by 2's, 3's, 4's, 5's, or 6's; there is 1 left over. When he counts them by 7's, there are none left over. what is the smallest number of sheep he can have? Click here to see answer by Alan3354(31538)

 Question 161555: Each of two inventions saves 40% on fuel. If you use both inventions, what percent of fuel is saved? Click here to see answer by Alan3354(31538)

 Question 161017: To print tickets a printer charges a 70\$ setup fee plus 1.25 per ticket. Write and algebraic expression for the for T tickets. AND what is the cost of 650 tickets??? Click here to see answer by Alan3354(31538)

 Question 161566: Seven less than three-fifths times a certain number is equal to 2 more than three-eighth times the number. What is the number? Click here to see answer by Alan3354(31538)

 Question 161616: If it takes 12 people 3 days to build 72 meters of fence, how many meters of fence can 15 people build in one day? Click here to see answer by checkley77(12569)
 Question 161616: If it takes 12 people 3 days to build 72 meters of fence, how many meters of fence can 15 people build in one day? Click here to see answer by ankor@dixie-net.com(15747)

 Question 161661: FIND THE TWO NUMBERS, X AND Y WHOSE DIFFERENCE IS 26 WHICH MINIMIZE XY. Click here to see answer by Alan3354(31538)

 Question 161660: a farmer has \$3000 to spend on fencing material to enclose a pasture.if the fencing material costs \$15 per yard, what is the maximum area he can enclose in square feet? Click here to see answer by checkley77(12569)
 Question 161660: a farmer has \$3000 to spend on fencing material to enclose a pasture.if the fencing material costs \$15 per yard, what is the maximum area he can enclose in square feet? Click here to see answer by Alan3354(31538)

 Question 161690: Five times a number k minus 9 is two thirds of a number j. Solve for j. Click here to see answer by nerdybill(7011)

 Question 161689: Suppose a current of 0.25 ampere flows through a resistor connected to a 12 volt battery. What is resistance in the circuit? Click here to see answer by Earlsdon(6294)

 Question 161771: I am working on a problem in algebra. The question is: A student opens a literature book to two facing pages. The product of the page numbers is 812. Find the page numbers. I would like to do this problem on my own, but I can't figure out the formula to do it. I have never taken algebra until now and it is driving me nuts. Any help would be appreciated. Thanks. Click here to see answer by scott8148(6628)

 Question 161834: This word problem was given on a test. I don't remeber the exact wording of the problem but it was something like this. Find the change in feet per minute over 14 minutes between 3300 and 1200. The problem had something to do with moving from outside an airplane to the ground and the work was something like this. -14x+3300=1200 -3300 -3300 -14x/-14=-2100/-14 x=150 I'm not sure why, but I know the 14 was definitely negative. When I got my paper back, the question was corrected and said it should have been -150 feet per minute because the person was moving towards the ground. Can you have a change in negative feet per minute or would the change still be considered a positive change in a negative direction? I am in ninth grade and am taking honors algebra 1. Please answer as soon as you can. Click here to see answer by checkley77(12569)

 Question 161856: An ice cream truck stocks 5 gallons of peach ice cream each week. This is 17 gallons less than twice the amount of vanilla ice cream that the truck stocks each week. Find the number of gallons of vanilla ice cream stocked each week. a. 9 gallons b. 6 gallons c. 16 gallons d. 11 gallons Click here to see answer by Electrified_Levi(103)

 Question 161872: Find a five-digit number in which the first and last digits are the same and the first digit is two less than the second and four less than the third. The fourth digit is one-fourth of the third digit. The sum of the first and las digits equals the third digit. If possible, please show the work. thanks! Click here to see answer by ankor@dixie-net.com(15747)

 Question 161841: a sprinter has a bad start and his opponent is able to start 1 second before him if the sprinter averages 8.2 meters per sec. and his opponent averages 8 meters per sec., will he be able to catch his opponent before the end of the 200 meter race? Click here to see answer by edjones(7569)

 Question 161914: A jumbo chocolate bar with a rectangular shape measures 12 centimeters in length, 7 centimeters in width, and 3 centimeters in thickness. Due to escalating costs of cocoa, management decides to reduce the volume of the bar by 20%. To accomplish this reduction, management decides that the new bar should have the same 3 centimeters thickness, but the length and width of each should be reduced an equal number of centimeters. What should be the dimensions of the new candy bar? Click here to see answer by ankor@dixie-net.com(15747)

 Question 161919: A circular pool measures 10 feet across. One cubic yard of concrete is to be used to create a circular border of uniform width around the pool. If the border is to have a depth of 4 inches, how wide will the border be? : Click here to see answer by ankor@dixie-net.com(15747)

 Question 162137: Which fraction is greater, 19/20 or 27/28? To explain your answer, use the meaning of fractions along with reasoning other than finding common denominators, common numerators, cross-multiplying, or converting to decimal numbers. The fact that we cannot use any of the above for the reasoning makes it fun beacuse there could be many other ways to reason the answer, but I could only think of the following: 19/20 is missing 1/20 27/28 is missing 1/28 It should be common reasoning that 1/20 must be greater than 1/28 Then 19/20 is missing a greater piece to be complete than 27/28; so 27/28 must be bigger than 19/20 Click here to see answer by eperette(173)

 Question 162136: In your own words, explain in detail why we can determine which of two fractions is greater by using the cross-multiplying method. What is the rationale behind this method? What are we really doing when we cross-multiply in order to compare fractions? When we cross multiply we are actually finding a common denominator for both fractions; since both fractions will have the same common denominator, we only have to worry about comparing the numerators we obtained by cross multiplying.... EX: 1/2 and 2/3 3 and 4 so 1/2 < 2/3 look at why: 1/2 and 2/3 (1*3)/(2*3) and (2*2)/(3*2) 3/6 and 4/6 since we are only comparing we can disregard the denominator now because it is the same so 3 and 4 so 1/2 < 2/3 Click here to see answer by eperette(173)

 Question 162145: How far can a man drive out into the country at the average rate of 60 miles per hour and return over the same road at the average rate of 45 miles per hour if he travels a total of 7 hours? Click here to see answer by checkley77(12569)

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