# 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 134244: Solve system by substitution or addition, whichever is easier. 2y - x = 3 x = 3y - 5 Click here to see answer by algebrapro18(206)

 Question 134232: 1/3x - 1/6y =1/3 1/6x + 1/4y =0 Click here to see answer by jim_thompson5910(28476)

 Question 134245: At gwen's garage sale, all books were one price, and all magazines were another price. Harriet bought four books and three magazines for \$1.45, and June bought two books and five magazines for \$1.25. What was the price of a book and what was the price of a magazine? Click here to see answer by algebrapro18(206)

 Question 134327: Sec 8.1 #18 Title Solutions of compound inequalities, Determine whether -4 satisfies each compound inequality -3x > 0 and 3x-4 < 11 Click here to see answer by jim_thompson5910(28476)

 Question 134343: Graph each system of inequalities: 3x - 2y > 6 and x + y < 4 on one graph. Click here to see answer by jim_thompson5910(28476)

 Question 134393: Professor Davis counts his midterm as 2/3 of the grade, and his final as 1/3 of the grade. Jason scored only 64 on the midterm. What range of scores on the final exam would put Jason's average between 70 and 79 inclusive? Click here to see answer by ankor@dixie-net.com(15625)

 Question 134455: solve the linear equation by using the most convenient method between substitution and elimination. 3x+4y=2 0.6x+0.8y=1.6 Click here to see answer by vleith(2825)

 Question 134454: solve the linear equation by substitution x-3y=5 -2x+6y=-10 Click here to see answer by jim_thompson5910(28476)

 Question 134466: An airplane, flying against the wind dierction, travels 3000 miles between 2 cities in 6 hrs and 15 mts. In the return flight it travels the same distance but in 5 hrs. Find the velocity of the plane in still air and the wind velocity, assuming that both remained constant in the round trip. Click here to see answer by checkley71(8403)

 Question 134655: The following table shows the length of winning long jumps in the Olympic Games. Year 1900 1904 1908 1912 Length (in feet) 7.86 8.03 8.18 8.31 Show that the data are not linear? Find the equation of the regression line that gives length as a function of time. Round the regression line parameters to three decimal places. Be sure to identify your variables. Explain in practical terms the meaning of the slope of the regression line. What does your equation predict for the Olympic Games in 2004? Is this reasonable? The winning long jump in the 1920 Olympic Games was 7.82 feet. How does this value compare with the value predicted by the regression line model? Click here to see answer by stanbon(57224)

 Question 134658: Here are the percentages of households with cable TV for certain years Year 1976 1977 1978 1979 1980 Percentage with cable TV 15.1 16.6 17.9 19.4 22.6 Use exponential regression to construct an exponential model for the original cable TV data. Based on your formula in part a, what was the yearly percentage growth in percentage of households with cable TV? According to your formula, what percentage of households are predicted to have cable TV by the year 2003? Is this a reasonable answer? Plot the natural logarithm of the data points. Explain why your plot in part (d) shows that the original data is close to exponential. Click here to see answer by stanbon(57224)

 Question 134649: Suppose a radioactive substance is decaying at a rate of 34% per year. Initially you have 500 grams of the substance. Explain why the amount of the radioactive substance is an exponential function Explain why the yearly decay factor is a =0.66. Write a formula for the amount of the radioactive substance. How many grams will be left after two years? After how many years will there be only 11 grams left? What is the monthly decay factor (to three decimal places)? What is the monthly percentage decay rate? Click here to see answer by stanbon(57224)

 Question 134677: A student scores a total of 500 points during a basketball season. His total number of 2 and 3 point field goals is 320 and free throws is 50. How many 2 point and 3 point field goals were made? If you set up 2x + 3y = 320, how do you set up the next equation? Click here to see answer by vleith(2825)

 Question 134628: typical heights and wieghts for adult men are in the table below height (in inches) 70 72 74 weight (in pounds) 170 180 190 explain why these data are linear? Click here to see answer by checkley77(12569)

 Question 134726: A group of students are on a tour. The total fare is \$120 and this is to be shared equally among the students. If two more students join the tour, each will pay two dollars less. Find the original number of students in the group. Click here to see answer by checkley77(12569)

 Question 134979: Please help me. Solve the problem: A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. 696 feet of fencing is used. Find the maximum area of the playground. I can not figure this out Click here to see answer by stanbon(57224)

 Question 135044: I am hoping you could help me with a problem I have with solving application problems using two variables with linear systems. A whale swimming against an ocean current traveled 60 miles in 2 hours. Swimming in the opposite direction, with the current, the whale was able to travel the same distance in 1.5 hours. Find the speed of the whale in calm water and the rate of the ocean current. I know the answer is the rate of the whale in calm water is 35mph. The rate of the current is 5mph. (From out of the book.) However, I not sure how to do the equations in order to get those answers. I think its something like: 2=60+x 1.5=60-x Thank you so much for trying to help me! Click here to see answer by vleith(2825)

 Question 135151: Krazy Ken's coin collection contains seven more dimes than nickels. In all, the collection is worth \$3.25. How many of each coin does he have? I made the equation 7+x=y, x=nickels y=dimes. The other equation was 5x+10y=325. I plugged 7+x into the second one for y (subsitution). And then I got x=15 and y=22. But I got it wrong because I plugged the 15 and 22 into the equation, and the second equation did not equal. I know the answer is 17 nickels and 24 dimes. Probably I did a mathematical error or forgot to multiply something. Please help me understand what I did wrong. Thanks! Click here to see answer by scott8148(6628)

 Question 135416: The sum of Nora's age and her grandmother's age is 71. Four times Nora's age is six less than the grandmother's age. Find their ages. so far, I've got... let x = Nora's age let y = grandmother's age one equation i got so far is x + y = 71. i can't figure out the other equation though... Click here to see answer by ptaylor(2048)

 Question 135415: PLease help me with this word problem! The percentage of women in the 20-24 age group who have never married went from 55% in 1970 to 73%in 2000. Let 1970 be year 0 and 2000 be year 30. a) Find and interpret the slope of the line through the points (0,55) and (30, 73) b) Find the equation of the line in part (a) c)What is the meaning of the y-intercept d)Use the equation to predict the percentage in 2010. e) If this trend continues, then in what year will the percentage of women in the 20-24 age group who have never married reach 100%? Click here to see answer by stanbon(57224)
 Question 135415: PLease help me with this word problem! The percentage of women in the 20-24 age group who have never married went from 55% in 1970 to 73%in 2000. Let 1970 be year 0 and 2000 be year 30. a) Find and interpret the slope of the line through the points (0,55) and (30, 73) b) Find the equation of the line in part (a) c)What is the meaning of the y-intercept d)Use the equation to predict the percentage in 2010. e) If this trend continues, then in what year will the percentage of women in the 20-24 age group who have never married reach 100%? Click here to see answer by checkley77(12569)

 Question 135922: The hypotenuse of a right angled traingle is 34cm.Find the length of the other two sides if one is 14cm longer than the other. Click here to see answer by nycsharkman(136)

 Question 136056: How do i solve the following problems : 1)A consumer electronics company sells 6.7 million MP3 players per month at a price of \$100 apiece; when the price is lowered to \$80, the company sells 10.2 million players per month. How many MP3 players can the company expect to sell per month at a price of \$75? 2)Sales tax in Pennsylvania is 6%. Create an equation for the total price (cost plus tax) of a purchase in PA in terms of its cost. How much would a person pay for a car whose cost is \$32,000? Click here to see answer by stanbon(57224)

 Question 136085: How would I solve this : The points (1,5), (4,5), and (1,0) represent three corners of a rectangle; find the coordinates of the fourth point. Click here to see answer by nycsharkman(136)

 Question 136084: The points (1,5), (4,5), and (1,0) represent three corners of a rectangle; find the coordinates of the fourth point. Click here to see answer by nycsharkman(136)

 Question 136075: 1)The points (1,5), (4,5), and (1,0) represent three corners of a rectangle; find the coordinates of the fourth point. Click here to see answer by nycsharkman(136)

 Question 136259: Solve the followings : 1)A semiconductor manufacturer seeks to maximize its profits. Testing indicates that they can produce 100,000 chips per week at a cost of \$40 per chip, and sell them for \$65 per chip. They also find that they can produce 125,000 chips per week at a cost of \$35 per chip, and sell them for \$63 per chip. How much profit can they expect to earn if they produce 130,000 chips per week? 2)Find the area of a rectangle if three of its corners are (-0.1,-3.4), (-7.9,-3.4), and (-0.1,6.8). Click here to see answer by josmiceli(9652)

 Question 136290: Find the area of a rectangle if three of its corners are (-0.1,-3.4), (-7.9,-3.4), and (-0.1,6.8). Click here to see answer by scott8148(6628)

 Question 136330: help me solve this : Find the area of a rectangle if three of its corners are (-0.1,-3.4), (-7.9,-3.4), and (-0.1,6.8). Click here to see answer by scott8148(6628)

 Question 136346: Find the area of a rectangle if three of its corners are (-0.1,-3.4), (-7.9,-3.4), and (-0.1,6.8). Click here to see answer by scott8148(6628)

 Question 136378: a merchant mix peanuts that sells for \$3/pound and cashews that sells for \$6/pound to get 48 lbs of mixed nuts that sells for \$4/pound. How many pounds of each should the merchant use. i know this is a system of equations> here is how i proceeded with the problem x + y = 48 3x+6y= 48, now i am stuck. i am not sure if i even did it right Click here to see answer by solver91311(16868)
 Question 136378: a merchant mix peanuts that sells for \$3/pound and cashews that sells for \$6/pound to get 48 lbs of mixed nuts that sells for \$4/pound. How many pounds of each should the merchant use. i know this is a system of equations> here is how i proceeded with the problem x + y = 48 3x+6y= 48, now i am stuck. i am not sure if i even did it right Click here to see answer by josmiceli(9652)

 Question 136857: BOBS POPCORN DELIGHT SHOP HAS TWO TYPES OF POPCORN. BUTTER POPCORN SELLS FOR 3.99 FOR A 12OZ BAG AND NON BUTTER POPCORN SELLS FOR 2.99 A 12 0Z BAG. HOW MANY BAGS OF EACH DOES BOB NEED TO MIX TO GET 50 12 OZ BAG TO PRODUCE A MIXTURE OF BOTH POPCORNS THAT SELLS FOR 2.49? ROUND EACH BAG TO THE NEAREST WHOLE NUMBER Click here to see answer by checkley77(12569)

 Question 136791: THe total of two numbers is 35. Four times the larger number is 4 less than five times the smaller. Click here to see answer by checkley77(12569)

 Question 136889: I'm never any good with word problems. I think the answer of why it varies is because I am not given an exact amount for 2005, 2006, 2007, 2008, and lots of things could happen that sway what will happen in 2009 because it's #'s that are projected. The equation I came up with is y = 2.1x + 45.27. Here is the question: Cell Phone Bill Model the data given in the table below with a linear function and estimate the average monthly cell-phone bill in 2007 and in 2009. Answers may vary depending on the data points used. ***My teacher has extended this question by asking, "As authors suggest "Answers will vary depending on the data points used" for this problem. Why? Justify this with some elaboration and examples." Year, X | Average Monthly Cell-Phone Bill, y 2000, 0 | \$45.27 2001, 1 | \$47.37 2002, 2 | \$48.40 2003, 3 | \$49.91 2004, 4 | \$50.64 Any help/guidance that can be given will be appreciated. CB Click here to see answer by stanbon(57224)

 Question 136877: In a baseball game 1/2 the number of runs scored by the winning team exceeds 5 by as much as 1/3 the losing teams runs exceeds 1. If the total runs scored is 18, what is the final score? Click here to see answer by ankor@dixie-net.com(15625)

 Question 136749: Translate the following into a system of equations, then solve it: A customer walks into an electronics store and buys five MP3 players and eight sets of headphones, paying \$840. A second customer buys three MP3 players and four sets of headphones, and pays \$480. How much does an MP3 player cost? How much does a set of headphones cost? Click here to see answer by ankor@dixie-net.com(15625)

 Question 137005: If an object is thrown upward with an initial veliocity of 64 ft/sec, its height after t sec is given by h = 64t - 16t^2. Find the numbrt of seconds the object is in the air begore it hits the ground. Click here to see answer by ankor@dixie-net.com(15625)

 Question 137166: How to translate into equations to be solved? Thanks! In a triangle, the sum of the interior angles is 180 degrees. If angle A is three times as large as angle B, and angles B and C sum to 90 degrees, what is the measure of each angle? Click here to see answer by snovember85(4)

 Question 137164: How do I translate this into equations so I can solve it? Thanks! A shopper buys three oranges and five lemons for \$10.26, while a second shopper buys four lemons and six oranges for \$11.16. What is the price of each fruit? Click here to see answer by snovember85(4)

 Question 137165: How do I translate this into equations to be solved? Thanks! A bricklayer and an electrician together spend 90 hours working on a new house. If the bricklayer earns \$12 per hour, the electrician earns \$16 an hour, and the owner pays them a total of \$1350 for their work, how many hours does each worker spend on the house? Click here to see answer by snovember85(4)

 Question 137181: The probability that San Francisco plays in the next Superbowl is nine times the probability that they do not play in the next superbowl. The probability that San Francisco plays in the next Superbowl plus the probability they do not play is 1. What is the probability that San Francisco play in the next Superbowl? Click here to see answer by stanbon(57224)

 Question 137163: I'm not good with word problems. I need help transluting it to equations so I can solve them. Thanks! A university bookstore recently sold a wirebound graph-paper notebook for \$2.50, and a college-ruled notebook for \$2.30. At the start of spring semester, a combination of 50 of these notebooks were sold for a total of \$118.60. How many of each type were sold? Click here to see answer by ankor@dixie-net.com(15625)

 Question 137252: A carpenter charges a set fee for each job in additon to his hourly charge. If a carpenter bills a customer \$150 for a job which takes him 3 hours and bills a second customer \$180 for a 6 hour job, how much would he charge for a job that takes him 9 hours? Click here to see answer by stanbon(57224)
 Question 137252: A carpenter charges a set fee for each job in additon to his hourly charge. If a carpenter bills a customer \$150 for a job which takes him 3 hours and bills a second customer \$180 for a 6 hour job, how much would he charge for a job that takes him 9 hours? Click here to see answer by KissedPeach(1)

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