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

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## Tutors Answer Your Questions about Linear Equations And Systems Word Problems (FREE)

 Question 335765: I'm stuck on a problem I'm working on. The question is about an automobile with a 16L tank, which 30% is antifreeze. The problem asks how much needs to be taken out of the mixture and how much pure antifreeze must be added so the tank has 50% antifreeze. I know I need to use a system of equations but I'm stuck on what the equations are. Click here to see answer by stanbon(57347)

 Question 335785: Set up and Calculate. The first programmer,Sammy,grossed \$535 in 1 week by working 48 hours. The second programmer, Matin, grossed \$587 in 1 week by working 52 hours. Time-and-a-half is paid for all hours worked in excess of 40 hours. Which programmer earns more per hour. I have to use a linear equation to do this problem. Sammy takes 5 hours longer to complete 300 lines of code than Martin. Toghether, Sammy and Martin can complete the code in 6 hours. Clearly explain the results showing the calculations of how long it takes each programmer to complete the code if he programs on his own. (hint:quadratic equation) and at what speed he is programming lines per hour Click here to see answer by stanbon(57347)

 Question 335667: you invested \$7000 in two accounts paying 6% and 8% annual interest. If the total interest earned for the year was \$520, how much was invested at each rate? Click here to see answer by rfer(12660)

 Question 335820: I need help finding the quadratic equation that represents the monthly value of a share of ACME Corp since January 2009. The variable x is to represent the #/months after January and y is to represent the monthly value. I am given a 2 column graph with the MONTH and SHARE VALUE (IN \$.) The months are listed as 0,3,5,7,9,11,13, and 15 and the Share Values, in \$, are listed as 55,16,0,-8, -8,0,16,and 40. Click here to see answer by Theo(3464)

 Question 335931: You're trying to figure out the cost of a hamburger, fries and soft drink. You know that when a friend purchased four hamburgers, two fries, and three soft drinks, he paid \$14; another friend purchased six hamburgers and six soft drinks for \$18; and a third friend purchased five hamburgers, six fries, and eight soft drinks for \$27. What is the cost of the hamburger, fries and drink? Click here to see answer by jim_thompson5910(28595)

 Question 335935: A caterer is planning a party for 64 people. The customer has \$150 to spend. A \$39 pan of pasta feeds 14 people and a \$12 sandwich tray feeds 6 people. How many pans of pasta and how many sandwich trays should the caterer make? Click here to see answer by stanbon(57347)

 Question 336328: How long is a rug that is w meters wide and covers an area of 20 m^2? Click here to see answer by jim_thompson5910(28595)

 Question 336327: What is the area of rectangular desk top that is w cm wide and twice as long as it is wide? Click here to see answer by jim_thompson5910(28595)

 Question 336346: Hi plz help! #1) How far will a car traveling at 90 km/h go in: a) h hours b) h + 2 hours? #2) How long will it take a car to go 200 km traveling at: a) v km/h? b) v-h km/h? #3) The vertex angle of an isosceles triangle measures v°. What is the measure of each angle #4) What is the sum of the measures of a supplement and a complement of an angle with measure x°? #5) What is the area of an isoceles right triangle if one of its legs is r cm long? Click here to see answer by user_dude2008(1861)

 Question 336389: #4) What is the sum of the measures of a supplement and a complement of an angle with measure x°? #5) What is the area of an isoceles right triangle if one of its legs is r cm long? Click here to see answer by user_dude2008(1861)

 Question 336436: Hello Math Wizards! Please assist me. :) 1. - Yoneko is y inches tall. Her height and the heights of her two taller sisters are consecutive odd numbers. What is the average or their heights? 2. - What is the cost in cents of one baseball if baseballs are priced at d dollars per dozen? 3. - What is the cost in dollars of 20 pounds of potatoes priced at c cents per pound? Click here to see answer by user_dude2008(1861)

 Question 336519: Kaufman Financial Corp. makes investments for corporate clients. It makes an investment of \$3700 for one year at simple interest, yielding \$297. Part of the money is invested at 7% and the rest at 9%. How much was invested? Click here to see answer by Fombitz(13828)

 Question 336560: a small company finds that it costs \$3,200 to produce 100 units per day and \$9,600 to produce 500 units per day a) assuming the relationship between cost and number of units produced per day is linear. find a linear equation that expresses the cost as a function of the number of units produced per day. b) how many units per day can the company produce for \$10,000? Click here to see answer by ankor@dixie-net.com(15652)

 Question 336853: a 4-ft piece of pvc pipe is cut into 3 pieces. The longest piece is 12in. longer than twice the shortest piece. The middle piece is 12in more than the shorest piece. How long is each piece?? Click here to see answer by rfer(12660)

 Question 336995: Solve the problem. The volume V of a gas varies inversely as the pressure P on it. The volume of a gas is 240 cm3 under a pressure of 23 kg/cm2 What will be its volume under a pressure of 30 kg/cm2? Click here to see answer by Alan3354(30993)

 Question 336986: your garden has an area of 136 square feet.you want to put a fence around the entire garden.how much fencing do you need.?if the width of rectangle is 3x+2 ns the length is 8 Click here to see answer by Fombitz(13828)

 Question 337162: How do you set up this word problem using I=P*R*T? Steve has \$25,000 to invest and wishes to earn an overall annual rate of return of 8%. His financial advisor recommends that he invest some of the money in a 5-year CD paying 4% per annum and the rest in a corporate bond paying 9% per annum. How much should be placed in each investment in order for Steve to achieve his goal? Click here to see answer by stanbon(57347)

 Question 337191: Two less than three times a number is equal to 14 more than five times the number. WHat is the number? Click here to see answer by ankor@dixie-net.com(15652)

 Question 337291: A cell phone plan costs \$0.30 per minute plus \$13. Let m represent minutes and write an expression to represent this situation. C=13+.3m Click here to see answer by sballcrazy(1)

 Question 337593: A car rents for \$45. per day plus .22 cent per mile you are on a daily budget of \$78. What mileage will allow you to stay within your budget. Click here to see answer by mananth(12270)

 Question 337654: John Agreed to work on his uncle's ranch 3 months one summer for \$650 and a used car. At the end of 2 months, he was needed at home, so his uncle paid him \$200 and the car. What was the value of the car? Click here to see answer by stanbon(57347)

 Question 337775: y1=2x+6, y2=x+8, y3=x; and the difference between them is 3 times y1 and 5 times y2 is less than y3 Click here to see answer by Fombitz(13828)

 Question 337944: Megan has twice as many quarters as Mike. All together they have \$5.25. How many quarters does Megan have Click here to see answer by rfer(12660)

 Question 338152: Can you show how to get answer to this word problem please An aircraft 200 kilometers away is flying toward an air base at 350 kilometers per hour. How long will it take a plane flying from the base at 450 kilometers per hour to intercept the first aircraft? Click here to see answer by checkley77(12569)

 Question 338170: Jim has \$380 in his savings account and adds \$9 per week. At the same time, Rhonda has \$100 in her savings account and adds \$13 per week. (a) How long will it take for Rhonda to have the same amount as Jim? 1 weeks (b) How much will each have? \$ 2 Click here to see answer by rfer(12660)

 Question 338244: How do you solve the system: 3x-2y=12 4x-y=11 Click here to see answer by scott8148(6628)

 Question 338278: the hypontenuse of a right triangle is 25 cm and a leg of the triangle measures 15 cm what is the area of the triangle? Click here to see answer by checkley77(12569)

 Question 338090: A chevy is traveling at 15 miles per hour and is 200 yards ahead. A ford is traveling at 20 miles per hour. How far will the Chevy travel before the ford catches up? Click here to see answer by ankor@dixie-net.com(15652)

 Question 338458: Suppose that an object is projected in such a way that its height above the ground in feet after t seconds is given by s(t) = -16t2 +48t + 46. Find the maximum height of the object. Click here to see answer by Fombitz(13828)

 Question 339207: If there is enough hay for 4 cows for 3 weeks, how long would the hay last if there were x cows? Click here to see answer by josmiceli(9678)

 Question 339215: a theater has a seating capacity of 900 and charges \$4 for children, \$6 for students, and \$8 for adults. at a certain screening with full attendance, there wre half as many adults as children and students combined. the receipts totaled \$5600. how many children attended the show? Click here to see answer by josmiceli(9678)

 Question 339064: The sum of two numbers is 6 less than twice the first number. Their difference is 10 less than four times the second number. Find each of the numbers. Enter the larger number in the answer box below. Click here to see answer by ankor@dixie-net.com(15652)

 Question 338615: In 1991, funding for a program increased by 1.06 billion dollars from funding in 1990. In 1992, the increase was 0.25 billion dollars over funding in 1991. For those three years the funding was 10.71 billion dollars. How much was funded in each of these years? Click here to see answer by nyc_function(2733)

 Question 338998: A discount store sold plastic cups for \$3.25 each and ceramic cups for \$4.50 each.? if 500 cups were sold for a total of 2,090,how many cups of each type were sold? What was the dollar value of each type of cup sold? Click here to see answer by nyc_function(2733)

 Question 339382: A plane was originally flying at an altitude of x feet when it ascended 2000 feet and then descended 5000 feet. If the plane's altitude after these two chages was 1/3 its original altitude, then the solution of which of the following equations gives the plane's original altitude, in feet? (A) x+2000=1/3(x-3000) (B) 1/3(x-3000)=x (C) x+3000=1/3x (D0 x-7000=1/3x (E) x-3000=1/3x Could please provide an explanation of the above problem. Thanks Click here to see answer by stanbon(57347)

 Question 339489: what is the cost in cents of one baseball if baseballs are priced at d dollars per dozen? Click here to see answer by josmiceli(9678)

 Question 339202: If it cost 50 cents for the first 3 minutes and x cents for each additional minute, and a person talks for y minutes, what is the cost? Click here to see answer by nyc_function(2733)

 Question 339648: A farmer needs to mix a 20% spray solution with a 50% spray solution to obtain 45 gallons of a recommended 40% spray solution. How many gallons of each solution should he use? Click here to see answer by nyc_function(2733)

 Question 339638: Phil as \$20,000, part of which he invests at 8% interest and the rest at 6%. If his total income from the two investments after one year was \$1460, how much did he invest at each rate? I actually have the answers on my homework sheet, but for the life of me I cannot remember how to set up this problem. If you could explain it would be greatly appreciated. Click here to see answer by scott8148(6628)

 Question 339646: How many grams of an alloy that is 70% silver should be melted with 60 grams of an alloy that is 20% silver to produce an alloy that is 30% silver? Click here to see answer by checkley77(12569)

 Question 340226: The product of page numbers on two facing pages of a book is 420. Find the page numbers. x(x + 1) = 420 is as far as I am.... Help!!! Click here to see answer by fractalier(2101)
 Question 340226: The product of page numbers on two facing pages of a book is 420. Find the page numbers. x(x + 1) = 420 is as far as I am.... Help!!! Click here to see answer by Alan3354(30993)

 Question 340185: Traveling at an average rate of between 40 and 50 miles per hour for 3 to 4 hours. What is the best estimate for the distance traveled? Click here to see answer by fractalier(2101)

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