# Questions on Word Problems: Linear Equations And Systems Word Problems answered by real tutors!

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 Linear Solvers Practice Answers archive Word Problems Lessons In depth

 Question 229355: I have no idea how to figure out what the equations are for this question: The longest cable suspension bridge in the world is the Akashi Kaikyo Bridge in Japan. It has one long span and two short spans. Each short span is half the length of the long span. The total length of the bridge is 3560m. What is the length of each span? i know that one equation should be x+y= 3560 and the other equation should be something along the lines of x+2y but i'm not sure what it should equal and how to make sure it represent half the length. could someone explain this to me? Click here to see answer by checkley77(12569)

 Question 229365: The average body temperature of a healthy baby is 98.6F but the temperatures can still vary from 97F to 100F. Write an inequality to describe the range of healthy temperatures. On a number line, graph the inequality and mark the average body temperature of a healthy baby. PLEASE E-MAIL ME BACK SOOOOON!!!IT WOULD BE NICE IF IT WAS TODAY CAUSE I NEED IT FOR TOMARROW.!!!!!!!! THANK YOU SOO MUCH!! Click here to see answer by Alan3354(31487)

 Question 229403: 2. Biologists want to set up a station to test alligators in the lake for West Nile Virus. Suppose that the costs for such a station are \$6,000 for setup costs and \$5.00 to administer each test. a. Write an expression that gives the total cost to test x animals. b. You can find the average cost per animal by dividing total costs by number of animals. Write the expression that gives the average cost per animal. c. Find the average cost per animal for 10 animals. 100 animals. 1,000 animals. d. As the number of animals tested increases, what happens to the average cost to test the animals? Would the average cost ever fall below \$5.00? If so, identify a value that supports your answer. If not, explain how you know. e. How many animals should be tested for the average cost to be \$9.00 per animal? Click here to see answer by stanbon(57940)

 Question 229436: The number of fish Jim catches is dependent upon the lures he uses. He also loses lots of these expensive lures. Here in South Dakota each fisherman can use two poles at one time so Jim can use two different lures. If L1 represents the number of fish caught per hour for the lure on the pole that holds and L2 represents the number of fish caught per hour for the lure on the pole that he puts in the "dummy" holder, then the formula below represents the relation between the two lures used and the total number of lures lost per hour using the two poles. (C is the rate of lures lost per hour using both poles.) If the combined loss rate and the rate for fish on lure 2 are known, write a function for the rate of fish on the first lure (i.e. solve the equation below for L1.) 1/C=1/L_1 +L_2/L_1 Click here to see answer by stanbon(57940)

 Question 229390: Using 29 cubes, make 5 piles, so that the 1st pile is the sum of the 2nd and 3rd pile. The 2nd pile is one more than the 5th pile. The 3rd pile is the square root of the 4th pile and the 5th pile is half the 1st pile. How many cubes in each pile? Click here to see answer by edjones(7569)

 Question 229731: a jet leaves the charlotte, north carolina, airport traveling at an average rate of 564 Km/h. another jet leaves the airport one half hour later traveling at 744 Km/h in the same direction. use an equation to find out how long the second jet eill take to overtake the first jet. Click here to see answer by Alan3354(31487)

 Question 229760: how to solve system by elimination for example 2x-10y=24 -4x+10y=-8 Click here to see answer by checkley77(12569)

 Question 229804: The volume of an 8-foot-wide portable storage container is given by the trinomial below. Its dimensions can be determined by factoring the trinomial to find the height and the length of the container. Find the polynomials that represent the height and the length of the container. (200x 2 + 80x - 504) ft3 Height = ______ft Length = ______ft Please help. Thank you, Jerry Click here to see answer by scott8148(6628)

 Question 229949: a plane can cost accomodate 325 passengers for an overseas flight. a first class seat cost \$750 and a economy sear cost \$525. the fuel for the flight cost \$3000. if the revenue for ticket sales is \$193 125 for a full plain, find the number of first class seats and economy seats. Click here to see answer by edjones(7569)

 Question 230064: after robbing a bank in brigton the dalton brothers galloped away at 24 km/h. 15 minutes later the posse left at 28 km/h. how long did it take the posse to overtake the dalton brothers? Click here to see answer by josmiceli(9817)

 Question 230267: hilton university drama club sold 311 tickets for a play. student tickets cost 50 cents each,nonstudent tickets cost \$1.50. if total receipts were 385.50, find how many tickets of each type were sold. how to set if up? Click here to see answer by texttutoring(324)

 Question 230407: I am trying to figure this out, but I don't know the right equation to use. Owners of a candy store want to sell a mix of raisins & nuts for \$6 per lb. Raisins usually sell for \$3lb., and nuts usually sell for \$8lb. They have a 50lb barrel of the raisins. How many lbs of nuts should they mix with raisins so that they hit their target value of \$6 per pound for the mixture? Thanks for your help! Click here to see answer by stanbon(57940)

 Question 230450: Assume that the number of defective basketballs produced is related by a linear equation to the total number produced. Suppose that 9 defective balls are produced in a lot of 400, and 19 defective balls are produced in a lot of 525. Find the number of defective balls produced in a lot of 700 balls. Click here to see answer by josmiceli(9817)

 Question 230515: In triangle PQR, the measure of angle Q is three times the measure of angle P. The measure of angle R is 30 degrees greater than the measure of angle P. Find the angle measures. Click here to see answer by rfer(12726)

 Question 230514: In triangle ABC, the measure of angle B is 2 degrees more than three times the measure of angle A. The measure of angle C is 8 degrees more than the measure of angle A. Find the angle measures. Click here to see answer by rfer(12726)

 Question 230512: The sum of three numbers is 5. The first number minus the second plus the third is 1. The first minus the third is 3 more than the second. Find the numbers. Click here to see answer by checkley77(12569)

 Question 230684: How would you write " sixteen more than a number n is 50? Click here to see answer by rfer(12726)

 Question 230698: Having a problem setting up an equation: A man goes to a grocery store and buys a grapefruit and toyball. A 7% tax is applied to the price of non-food items. If the total bill is \$5.15, including a 0.18 tax for the toyball, what are the prices of both items? Click here to see answer by rfer(12726)
 Question 230698: Having a problem setting up an equation: A man goes to a grocery store and buys a grapefruit and toyball. A 7% tax is applied to the price of non-food items. If the total bill is \$5.15, including a 0.18 tax for the toyball, what are the prices of both items? Click here to see answer by stanbon(57940)

 Question 230816: 5. An accountant walks part of the way and takes the bus the remaining part of the way to work. The total distance from his house to work is 23 miles. He walks at the rate of 4 miles per hour while the bus travels at a speed of 35 miles per hour. The total trip time from his house to work is 2 hours. Calculate the distance the account travels by foot and the distance the accountant travels by bus This is what I came up with so far: Dw+Db=23 Dw/4 + Db/35=2 DW= Distance walked DB=Distance bused Click here to see answer by scott8148(6628)

 Question 230815: on the first day of school, the percentage of boys in a particular class is 60%. During the school year, six girls move away, and are replaced in the class by six boys; this makes the class roster 75% boys. Find the number of boys and girls in the class on the first day of school. Click here to see answer by ankor@dixie-net.com(15745)

 Question 230819: An express and local train leave Grayslake at 3pm and head for Chicago 50 miles away. The express travels twice as fast as the local and arrives 1 hour ahead of the local. Find the speed of each train Click here to see answer by josmiceli(9817)

 Question 230904: An express and local train leave Grayslake at 3pm and head for chicago 50 miles away. The express travels twice as fast as the local and arrives 1 hour ahead of the local. Find the speed of each train. I have this set up I think ok but thats about as far as I get rate time distance Local x t 50 Express x(2) t -1 50 Click here to see answer by checkley77(12569)

 Question 230903: I am really having hard time with linear equation systems and understanding how to solve them this problem is another one. 0.2x + 0.4y = 1.7 and 8.3x - 6.3y = -4.3 Click here to see answer by checkley77(12569)
 Question 230903: I am really having hard time with linear equation systems and understanding how to solve them this problem is another one. 0.2x + 0.4y = 1.7 and 8.3x - 6.3y = -4.3 Click here to see answer by unlockmath(1614)

 Question 230900: I am having a difficult time understanding how to solve this system of equations. x/3 - y/5 = 4 3x/4 + 2x/3 = 6 Click here to see answer by checkley77(12569)

 Question 230902: A man goes into a grocery store and buys a grapefruit and a toy ball. A 7% tax is applied to the price of non-food items. If the total bill is 5.15, including .18 in tax on the toy ball, what are the prices of the grapefruit and the ball. I am thinking that this is easier then I am thinking. the amount of tax has already been given so if I set this up it would look like ... .18/x 7/100 I would need to solve for x which will give me the cost of the ball and then I would just need to subtract from the total minus the .18 Click here to see answer by josmiceli(9817)

 Question 231077: the sum of two numbers is 64 and their difference is 18.what are the numbers? Click here to see answer by stanbon(57940)

 Question 231345: the condition below is true in some cases and false in at least one instance. give one example that shows when the condition is true and one that shows when its false. your answer may be a diagram,an expression,an equation,or a written response the lines represented by these two equations are parallel 2x+5y=8 and 4x+ky=12 Click here to see answer by stanbon(57940)

 Question 231346: consider the line for 3x+5y=20 and the fact that 3(4)+ 5(4)not equal to 20. What can you conclude as a result? Briefly explain why your conclusion must be true. Click here to see answer by rfer(12726)

 Question 231083: the sum of two integers is 1.if the smaller integer is 11 less than 5 times the larger,what are the integers? Click here to see answer by ankor@dixie-net.com(15745)

 Question 231564: which real number corresponds to 'spends 625 dollars'? Click here to see answer by solver91311(17059)

 Question 231561: what real number corresponds to 'saves 1350 dollars'? Click here to see answer by solver91311(17059)

 Question 231086: Please help me solve this problem regarding linear equation. A certain tank has an inlet valve and an outlet valve. The tank can be filled via the inlet valve in 6 minutes and emptied (from full) via the outlet valve in 10 minutes. If both valves are operating, how long would it take to fill the tank if it was empty to begin with? Thanks very much for your help. Click here to see answer by ankor@dixie-net.com(15745)

 Question 231632: rescue crews working for stockton rescue average 3 calls per shift. after his first four shifts, brian had recieved 5,2,1, and 3 calls. how many calls will brian need on his next shift Click here to see answer by rfer(12726)

 Question 231645: THE SUM OF TWO NUMBERS IS -27.ONE NUMBER IS 3 GREATER THAN 5 TIMES THE OTHER. FIND THE TWO NUMBERS Click here to see answer by rfer(12726)

 Question 231711: #1. The sum of two numbers is 54, and their difference is nine more than the smaller number. find the numbers Click here to see answer by solver91311(17059)