# 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 262878: Benjamin invested \$12,000 in two CDs. One earned 4% and the other earned 6%. If he earned a total of \$620 at the end of the year, how much was invested in each CD? Solve using linear systems Click here to see answer by mananth(12270)

 Question 262776: Customers of a phone company can choose between two service plans for long distance calls. The first plan has a \$20 one-time activation fee and charges 13 cents a minute. The second plan has no activation fee and charges 17 cents a minute. After how many minutes of long distance calls will the costs of the two plans be equal? Click here to see answer by richwmiller(9135)

 Question 262937: how do I go about finding the dimensions through equation? Can someone explain the steps to do this please? The perimeter of a rectangle is a 160m, the length is 5m more than twice the width Click here to see answer by ankor@dixie-net.com(15624)

 Question 263086: Translate the problem into a pair of linear equations in two vaiables. Solve the equations using either elimination or substitution. State your answer for the specified variable. Tim and Judy mix two kinds of feed for pedigreed dogs. They wish to make 54 pounds of feed worth \$0.28 per pound by mixing one kind worth \$0.24 per pound with another worth \$0.42 per pound. How many pounds of the cheaper kind should they use in the mix? I just need to know what the two linear problems are, I can finish the problem from there. I just can't figure out how to get two problems from this. Thanks! Click here to see answer by ankor@dixie-net.com(15624)

 Question 263147: Find 3 consecutive integers whose sum is 48. Click here to see answer by drk(1908)

 Question 263248: An employee gives a pre-employment evaluation to a large group of applicants. The scores are normally distributed with a mean of 154 and a standard deviation of 7. The employer wants to interview only those applicants who score in the top 5%. What should the cut-off score be for the interviews? Click here to see answer by stanbon(57219)

 Question 263464: Write the equation of a line with the slope of -2 which contains the point (3,6) Click here to see answer by checkley77(12569)

 Question 263443: In 1996 there were 3927 J.C. Penney stores and in 2000 there were 3800 stores. Write a linear equation that gives the number of stores in terms of the year. Let t=0 represent 1996. Then predict the numbers of stores for the years 2005 and 2010. Click here to see answer by checkley77(12569)

 Question 263564: Ellen wishes to mix candy worth \$1.80 per pound with candy worth \$2.40 per pound to form 48 pounds of a mixture worth \$2.00 per pound. How many pounds of the more expensive candy should she use? Click here to see answer by stanbon(57219)

 Question 263593: A real estate office handles an apartment complex with 50 units. When the rent per unit is \$580 per month all 50 units are occupied. However when the rent is \$625 per month, the average number of occupied units drops to 47. Assume that the relationship betweeen the monthly rent p and the demand x is linear. Write the equation of the line giving the demand x in terms of the rent p. Use this equation to predict the number of units occupied when the rent \$655. Predict the number of units occupied when the rent is \$595. Click here to see answer by richwmiller(9135)

 Question 263588: A school district purchases a high-volume printer, copier, and scanner for \$25,000. After 10 years, the equipment will have to be replaced. Its value at that time is expected to be \$2000. Write a linear equation giving the value V of the equipment during the 10 years it will be in use. Click here to see answer by josmiceli(9649)

 Question 263584: Meg traveled 7 miles yesterday walking for one half-hour and biking for one half-hour. Today traveling at the same rates she traveled a total of 6 miles by walking for 40 mintues and biking for 20 mintues. What was her walking and biking rates? The answer is walking 4mph and biking 10mph. Please help me set up the equations. Click here to see answer by richwmiller(9135)
 Question 263584: Meg traveled 7 miles yesterday walking for one half-hour and biking for one half-hour. Today traveling at the same rates she traveled a total of 6 miles by walking for 40 mintues and biking for 20 mintues. What was her walking and biking rates? The answer is walking 4mph and biking 10mph. Please help me set up the equations. Click here to see answer by stanbon(57219)
 Question 263584: Meg traveled 7 miles yesterday walking for one half-hour and biking for one half-hour. Today traveling at the same rates she traveled a total of 6 miles by walking for 40 mintues and biking for 20 mintues. What was her walking and biking rates? The answer is walking 4mph and biking 10mph. Please help me set up the equations. Click here to see answer by josmiceli(9649)

 Question 263618: The mass of a sphere is proportional to its radius cubed. If a sphere of diameter 2 cm has a mass of 9 grams, what diameter sphere has a mass of 4608 grams? diameter= _____cm Click here to see answer by drk(1908)

 Question 263970: A page with dimensions of 8.5 inches by 11 inches has a border of uniform width "x" surrounding the printed matter of the page... a) write a formula for the area of the printed portion of the page as a function of the width "x" of the border B) what are the domain and range of the above function? C) graph the equation and use your calculator to find the width of the margin that should be used to obtain an area of 70 square inches. Click here to see answer by stanbon(57219)

 Question 264127: A 17-foot piece of string is cut into two pieces so that the longer piece is 2 feet longer than twice the shorter piece. Find the lengths of both pieces. Click here to see answer by checkley77(12569)

 Question 264209: I need to find the y-intercept of: 2x divided by 3y= -12 Thank you for your help! Click here to see answer by checkley77(12569)

 Question 264257: With a tail wind, a helicopter traveled 300 miles in 1hour and 40 min. The return trip against the same wind took 20 min longer. Find the wind speed and also the air speed of the helicopter. Click here to see answer by Alan3354(30959)

 Question 264270: A financial planner wants to invest \$8000, some in stock earning 15% annually and the rest in bonds earning 6% annually. How much should be invested at each rate to get a return of \$930 annually from the two investments? Click here to see answer by checkley77(12569)

 Question 264251: 22 students in a classroom. 12 like grape juice, 15 like orange juice, and 10 like both juices. How many students like neither juice? Thanks for any help, Sophie. Click here to see answer by Edwin McCravy(8879)

 Question 264203: I need help converting to scientific notation the following... Use an x to indicate multiplication, but do not include spaces in your response. Don;t forget to use the ^ sign to indicate exponents.... 71500 Can someone help me please ? thank you! Click here to see answer by Alan3354(30959)

 Question 264260: An overseas phone call is charged at one rate (a fixed amount) for the first minute and at a different rate for each additional minute. If a 7 minute call costs \$10, and a 4 minute call costs \$6.40, find each rate. Click here to see answer by mananth(12270)

 Question 264378: Mr. Dizon's rectangular farm lot has a lenght that is 2 more than twice the width. What are dimensions of the lot if the perimeter is 460 Click here to see answer by mananth(12270)

 Question 264419: When John sorts his collection of computer card games into groups of 3,4,5, or 8, there is always one card left. What is the smallest number of cards John can have? Click here to see answer by drk(1908)

 Question 264633: solve this problem using a concrete, hands-on method? and using an algebraic method? and create a word problem for the linear equations? x+y=15 3x+3y=45 Click here to see answer by Alan3354(30959)

 Question 264761: tony planted a four foot tree, the tree grows at a rate of 5 feet every year.how many years will it take to be 29 feet Click here to see answer by josmiceli(9649)

 Question 264213: A choir is singing in a festival. On the first night 12 people were absent so they stood in 5 equal rows. On the second night only 1 was absent so they stood in 6 equal rows. The same number of people stood in each row each night. How many people are in the choir? 5-12x 6-1x Click here to see answer by ankor@dixie-net.com(15624)

 Question 264864: an airplane travels 900 miles from houston to miami in 6 hors against the wind.on its return trip, with the wind, it takes only 5 hours. find the rate of the airplane with no wind. find the rate of the wind Click here to see answer by mananth(12270)

 Question 264855: Twice the sum of a number and eleven is twenty-two less than three times the number. Find the number. Click here to see answer by mananth(12270)

 Question 264939: find three consecutive integers whose sum is 378? tnxz! Click here to see answer by Alan3354(30959)

 Question 264938: mr. Avila is four times as old as his son. In 16 years he will be only twice as old. what are thier ages bow? Click here to see answer by checkley77(12569)

 Question 265139: Ok, quick summary i have not taken math in 15years when i did i sucked. So i am in a college algebra and they are reviewing but it's not to me. So any help i would be greatful for. The sum of the measures of the angles of a triangle is 180 degrees. Find the 3 angles of a triangle if one angle is 20 degrees greater than the smallest angle and the third angle is twice the smallest angle. I just don't know what numbers to use i understand that i am solving for the smallest angle.So where does 180 and 20 come into play. Click here to see answer by Alan3354(30959)

 Question 265126: What is the concept of slope. Give an example of where it would be important to understand the significance of slope. Click here to see answer by rfer(12644)

 Question 265216: Cara like candles. She also like mathematic and was thinking about using algebra to answer a question that she had about two of her candles. Her taller candle is 16 centimeters tall. each hour which it burns makes the candle lose 2.5 centimeter in height for each hour that it burns. Cara need your help to determine whether these two candles would ever reach the same height at the same time if allowed to burn the same length of time. She wants to know what height the two candles would be at that time. If it is not possible, she want to know why. explain, use multiple representations, and justify your results. Click here to see answer by ankor@dixie-net.com(15624)

 Question 265402: The sum of two numbers is 55. Four times the smaller number plus five times the larger number is 176. Must write equation and solve algebraically. I've tried these equations (that seemed logical to me): 4x + 5x = 176 and x + 4x + 5= 176 I just keep getting the wrong answers though. Click here to see answer by mananth(12270)

 Question 265558: The upper deck at U.S. Cellular Field (formerly Comiskey Park) in Chicago has produced, among other complaints, displeasure with its steepness. It is 160 ft from home plate to the front of the upper deck and 250 ft from home plate to the back. The top of the upper deck is 63 ft above the bottom. What is its slope? (Consider the slope as a positive number) Click here to see answer by Alan3354(30959)

 Question 262014: A three-digit number, which is divisible by 10, has a hundreds digit that is one less than its tens digit. The number also is 52 times the sum of its digits. Find the number. Click here to see answer by dabanfield(803)

 Question 266276: I need to write a linear inequality for: A company manufactures and sells personalized stationery. The weekly fixed cost is \$3000 and it costs \$3.00 to produce each package of stationery. The selling price is \$5.50 per package. How many packages of stationery must be produced and sold each week for the company to have a profit? I am not sure where to start. I was thinking N=300x + 3000 and N=550x+3000 but I don't believe that is correct. Help? Click here to see answer by stanbon(57219)

 Question 266247: A 12 x 12 foot rectangular floor will be covered by square tiles that measures 2 feet on each side. if the tiles are not cut, how many of them will be needed to cover the floor? Click here to see answer by roseo(33)

 Question 266245: If 3x^2-12x+14=3(x+p)^2+q, what are the values of p and q? Click here to see answer by Edwin McCravy(8879)

 Question 266310: I know that the word "at least" means I use a (greater than/equal to) sign. But not sure how to set up the equation. Can you please assist? A student works two part-time jobs. He earns \$8.00 an hour working at the college library and \$15.00 and hour for construction work. To save time for study, be limits his work to25 hours a week. If he enjoys the work at the library more, how many hours can he work at the library and still earn at \$300 a week. Click here to see answer by ankor@dixie-net.com(15624)

 Question 266347: Three times a number is the same as the difference of twice the number and seven. Find the number. Click here to see answer by user_dude2008(1861)

 Question 266451: In a math class a grade was assigned for a combination of homework and quizzes. A student had an overall homework/quiz average of 84.3. His quiz average was 78 and his homework average was 87. There were a total of 20 homework and quizzes assigned. How many were homework and how many were quizzes? Click here to see answer by stanbon(57219)

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