# 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 117177: The point-slope form of an equation of a line is represented by y-y1=m (x-x1). Which of these could be used to determine the slope? A. y1-x1/y-y1 B. x-x1/y-y1 C. y-y1/x-x1 D. x1-x/y1-y Click here to see answer by jim_thompson5910(28555)

 Question 117240: Three times the sum of a number and seven yields the same result as the twice the same number decreased by four. Click here to see answer by checkley71(8403)

 Question 117170: If a function is increasing at a rate of and the points (0,2) and (3,4) are both on the graph of f(x). What will be the y value when x is 3 if the rate is changed to and the point (0,2) remains on the new line. Click here to see answer by Edwin McCravy(8908)

 Question 117258: A company makes two chemicals:type1 and type 2. Due to storage problems, a miximum of 100 pounds of type 1 and 150 pounds of type 2 can be mixed and packaged each year. One pound of type 1 takes 60 hours to mix and 70 hours to package; one pound of type 2 takes 40 hours to mix and 40hours tp package.The mixing department has at most 7200 hours available each year and packaging has at most 7800 hours available. If the profit for one pound of type 1 is \$62and for one pound type 2 is \$40, what is the maximum profit possible each year? Click here to see answer by ankor@dixie-net.com(15649)

 Question 117506: How do you figure out the equation of a line modeled by the table like: x y 0 -5 1 -1 2 3 3 7 Click here to see answer by solver91311(16877)

 Question 117485: A roof rises 7.25 ft over a horizontal distance of 13.71 ft. What is the slope of the roof to the nearest hundredth? Click here to see answer by bucky(2189)

 Question 117490: Bob invested \$22,000, part at 18% and part at 14%. If the total interest at the end of the year is \$3,360, how much did he invest at 18%? Click here to see answer by ankor@dixie-net.com(15649)

 Question 117615: Solve the linear equations: A + B + C = 0 4A - 10B = 3 -10B + 5C = 6 Click here to see answer by Fombitz(13828)

 Question 117841: i want to know how to set up a problem like this for setting up linear equations three pens and two notebooks cost \$8.25. Two pens and three notebooks cost \$8.00. How much would two pens and two notebooks cost Click here to see answer by stanbon(57307)

 Question 118007: El Segundo High School put on their annual musical. the students sold 650 tickets for a value of \$4375. If orchestra seats cost \$7.50 and balcony seats cost \$3.50, how many of each kind of seats were sold? Click here to see answer by misscrt(37)
 Question 118007: El Segundo High School put on their annual musical. the students sold 650 tickets for a value of \$4375. If orchestra seats cost \$7.50 and balcony seats cost \$3.50, how many of each kind of seats were sold? Click here to see answer by MathLover1(6627)
 Question 118007: El Segundo High School put on their annual musical. the students sold 650 tickets for a value of \$4375. If orchestra seats cost \$7.50 and balcony seats cost \$3.50, how many of each kind of seats were sold? Click here to see answer by stanbon(57307)

 Question 118009: there is a bus with 7 girls, each girl carries 7 bags, each bag has 7 cats,each cat has 7 kittens,each cat has 4 legs how many legs are in the bus Click here to see answer by wgunther(43)

 Question 118052: Two cars started from the same point and traveled on a straight course in opposite directions for exactly 2 hours, at which time they were 208 miles apart. If one car traveled, on average, 8 miles per hour faster than the other car, what was the average speed for each car for the 2-hour trip? I set up two equations A and B being rates in MPH equation 1-- multiplied times 2 to get it A and B in distances instead of rate. equation 2-- set this equation to get the relationship between rates Equation 1: 2A+2B=208 Equation 2: A=8+B then solved by plugging Equation 2 into Equation 1 got B = 23 and A = 31 which according to my answer key is not right, it says 48 and 56. I am missing some stupid detail somewhere can you help me out. It doesn't matter which is A or B. Thanks a lot for your help Click here to see answer by jim_thompson5910(28555)

 Question 118053: A group can charter a particular aircraft at a fixed total cost. If 36 people charter the aircraft rather than 40 people, the cost per person is greater by \$12. What is the cost per person if 40 people charter the aircraft? I can't figure out what the second equation would be? x= price for 36 ppl. y= price for 40 ppl. The first is x=y+12 Thanks a lot for your help Click here to see answer by josmiceli(9669)
 Question 118053: A group can charter a particular aircraft at a fixed total cost. If 36 people charter the aircraft rather than 40 people, the cost per person is greater by \$12. What is the cost per person if 40 people charter the aircraft? I can't figure out what the second equation would be? x= price for 36 ppl. y= price for 40 ppl. The first is x=y+12 Thanks a lot for your help Click here to see answer by ilana(307)

 Question 118195: I need help bad! Find values for m and b in the following system so that the solution to the system is (-3,4), 5x + 7y = b mx + y =22 Click here to see answer by Fombitz(13828)

 Question 118197: Help! Solve each of the following systems of linear inequalities graphically. 3x-y <= 6 x >= 1 y <= 3 Click here to see answer by jim_thompson5910(28555)

 Question 118344: please help me to solve this problem: Given the points P(-1,-2) Q(4,2) and R(1,m) in the coordinate plane. find the value of m so that PR + PQ is minimum. thanks!!! Click here to see answer by stanbon(57307)

 Question 118418: Write an equation that is parrallel and perpendicular to the given line. y=4x+2 Click here to see answer by tutorcecilia(2152)

 Question 118417: Write an equation that is parrallel and perpendicular to the given line. y=1/3x Click here to see answer by stanbon(57307)

 Question 116032: Solve the problem. Use 3.14 for π. A figure skater must trace a figure eight on the ice that consists of two perfect circles, each with a radius 11 ft. of How far does the skater go one time around the figure eight? Click here to see answer by wgunther(43)

 Question 118414: Write an equation that is parrallel and perpendicular to the given line. y=2x-2 Click here to see answer by MathLover1(6627)

 Question 118460: If possible, please show how to work this problem. The state fair is coming to town. since you love the rides, you can't wait go go. When you get the ticket counter you notice three options for purchasing tickets. option 1 pay one price at the gate for limitless riding,for \$125 option 2 pay \$5 at the gate and then paying \$0.75 for each ride you go on. option 3 pay nothing at the gate and pay \$1.25 for each ride. Write linear equations for each option that describe your cost (y) as a function of how many rides you gon on (x). If you knew ahead of time that you were going to experience 17 rides, which option would be cheapest? Thank you Click here to see answer by stanbon(57307)

 Question 118416: Write an equation that is parrallel and perpendicular to the given line. y=-1/2x+7 Click here to see answer by josmiceli(9669)

 Question 118640: Perimeter of a triangle. The perimeter of the triangle shown in the accompanying figure is 12 meters. Determine the values of x,x + 1, and x + 2 by solving the equation. x + (x + 1) + (x + 2) = 12 Please show the break down so I can work future word problems. Thank you Click here to see answer by jim_thompson5910(28555)
 Question 118640: Perimeter of a triangle. The perimeter of the triangle shown in the accompanying figure is 12 meters. Determine the values of x,x + 1, and x + 2 by solving the equation. x + (x + 1) + (x + 2) = 12 Please show the break down so I can work future word problems. Thank you Click here to see answer by ilana(307)

 Question 118671: Write an equation that is parrallel and perpendicular to the given line. y=-1/3x+2 Click here to see answer by jim_thompson5910(28555)

 Question 118415: Write an equation that is parrallel and perpendicular to the given line. y=-1/3x+2 Click here to see answer by MathLover1(6627)

 Question 118962: Here's a problem that my daughter had on her worksheet.I could solve all of the problem but this one.Rita is paddling her canoe upstream of a river at 2 miles per hour.She then turns around and heads down stream at 3 miles per hour.What is her paddling speed and what is the speed of the current?Is there enough information to solve? Click here to see answer by checkley71(8403)

 Question 118876: The sum of a number and three times another number is 18. Their product is a maximum. Determine the numbers. Click here to see answer by checkley71(8403)

 Question 119041: A local gym charges nonmembers \$10 per hour to use the tennis courts. Members pay a yearly fee of \$300 and 4\$ per hour for using the tennis courts. Write and solve an equation to find how many hours you must use the tennis courts to justify becoming a member. Click here to see answer by Fombitz(13828)

 Question 119256: Jacks Bowling alley charges \$1.50 to rent shoes and \$4.50 for each game bowled. Jill's bowling alley charges \$2.50 to rent shoes and \$4 for each game bowled. How many games must be bowled in order to make the cost of bowling at Jack's the same as the cost of bowling at Jill's? Click here to see answer by josmiceli(9669)

 Question 119468: Your teacher is giving you a test worth 100 points containing 40 questions.There are two-point and four-point questions on the test.How many of each type of question are on the test? Click here to see answer by josmiceli(9669)
 Question 119468: Your teacher is giving you a test worth 100 points containing 40 questions.There are two-point and four-point questions on the test.How many of each type of question are on the test? Click here to see answer by Fombitz(13828)

 Question 119467: Your teacher is giving you a test worth 100 points containing 40 questions.There are two-point and four-point questions on the test.How many of each type of question are on the test? Click here to see answer by Fombitz(13828)

 Question 119601: This is a mixture problem under Solution by Elimination. A farmer keeps some animals on a strict diet. Each animal is to receive 15 grams of protein and 7.5 grams of carbohydrates. The farmer uses two food mixes: Mix A = 12% protein and 9% carbohydrates; Mix B = 15% protein and 5% carbohydrates. How many grams of each mix should be used to provide the correct nutrients for each animal? The textbook is Intermediate Algebra 7th Ed. by Gustafson/Frisk. ISBN 0-534-46342-8 and the question is on pg. 173 question 64. Click here to see answer by scott8148(6628)

 Question 119619: Aliyah had some candy to give to her four children. She first took ten pieces for herself and then evenly divided the rest among her children. Each child received two pieces. With how many pieces did she start? Click here to see answer by stanbon(57307)

 Question 119871: The sum of two numbers is 15. Twice one number equoals three times the other. Find the numbers. Click here to see answer by Earlsdon(6287)
 Question 119871: The sum of two numbers is 15. Twice one number equoals three times the other. Find the numbers. Click here to see answer by josmiceli(9669)

 Question 120058: if their are 34times more nickles then dimes and 18times more pennies then dimes. how nickles do i have if their is \$104.94. Click here to see answer by ankor@dixie-net.com(15649)

 Question 120189: Use substitution or elimination to solve each system of equations. 7.) 2x + 5y=16 Click here to see answer by jim_thompson5910(28555)

 Question 120304: HELP!!!! Here's my problem that escapes me: When the digits of a two-digit number are reversed, the new number is 9 more than the original number, and the sum of the digits of the original number is 11. What is the original number? Thanks in advance for your help. Joanne Click here to see answer by scott8148(6628)

 Question 120306: Here's another one for you.I promise this will be it for today...HA HA!! Erin's age is 3 times Warren's age. In 4 years she will be twice as old as he will be. How old is each now? Thanks for your help. Joanne Click here to see answer by scott8148(6628)

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