# 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 99863: the sum of two numbers is 255. when the smaller number is subtracted from the larger, the result is -39.find the numbers Click here to see answer by stanbon(57278)
 Question 99863: the sum of two numbers is 255. when the smaller number is subtracted from the larger, the result is -39.find the numbers Click here to see answer by jim_thompson5910(28536)
 Question 99863: the sum of two numbers is 255. when the smaller number is subtracted from the larger, the result is -39.find the numbers Click here to see answer by checkley71(8403)
 Question 99863: the sum of two numbers is 255. when the smaller number is subtracted from the larger, the result is -39.find the numbers Click here to see answer by doukungfoo(195)

 Question 99890: karen took 5 h to drive 470 km from sudbury to brantford. for part of the trip, she drove at 100km/h. For the rest of the trip, she drove at 90 km/h. How far did she drive at each speed? Click here to see answer by checkley71(8403)

 Question 99911: Rose’s garden is in the shape of a trapezoid. If the height of the trapezoid is 16m, one base is 20m, and the area is 224 square meters, find the length of the other base Click here to see answer by checkley71(8403)

 Question 99910: Yuri has a board that is 98 inches long. He wishes to cut the board into two pieces so that one piece will be 10 inches longer than the other. Equation Used: Length of piece 1: Length of piece 2: Click here to see answer by checkley71(8403)

 Question 99939: 1. Which label describes the following? 4x – 9 A) Expression B) Linear equation C) Equation which is not linear 2. Which label describes the following? 8x2 – 1 = 0 A) Expression B) Linear equation C) Equation which is not linear Click here to see answer by stanbon(57278)

 Question 99938: Identify the rate, base, and amount in the following application. In a class of 25 students, 8 received a grade of A. What percent of the students received A's? Click here to see answer by doukungfoo(195)

 Question 99905: A rectangle with a length of 3 and width of ("x- 1")has an area of "m" square units and the perimeter of "2m" units. What is the value of "x"? Click here to see answer by edjones(7569)

 Question 99868: a collection of nickels dimes and quarters in a money bag worth 33.50 number of quarters is five times the number of nickels and the number of dimes is five less than four times the number of nickels find the number of each type of coin. Click here to see answer by ptaylor(2048)

 Question 99822: Can you please help me solve this problem: a Maufacturer sells a product at \$8 per unit, selling all that is produced. Fixed cost is \$5000 and variable cost per unit is 22/9 dollars. find the total output and revenue at the break-even point. Find the output required to obtain a profit of \$10,000. Could you also please show your work. Thank you, I most appreciate it Click here to see answer by ankor@dixie-net.com(15645)

 Question 100316: How much coffee worth \$12 per pound should be mixed with coffee worth \$8 per pound to produce 50 pounds of a coffee blend worth \$8.80 per pound? Click here to see answer by checkley71(8403)

 Question 100375: Jim is six years more than twice Pat's age now. In 6 years, Jim will be exactly twice Pat's age. How old are Jim and Pat? 2x+6+6=2x but this doesn't work. Click here to see answer by scott8148(6628)

 Question 100488: April has 137 coins in her piggy bank for a total of \$10. If the only two types of coins she has are dimes and nickels, how many of each type of coin does she have? x+y=137 .05x+ 0.1y=10 -0.1x - 0.1y = -13.7 .05x + 0.1y = 10 -.05x = -3.7 x= -74 x+y=137 -74 + y =137 y = 211 Click here to see answer by scott8148(6628)

 Question 100667: I'm attempting to help my daughter with her homework, please HELP. A migrating elephant herd started moving at a rate of 6 miles per hour. One elephant stood still and was left behind. Then this stray elephant sensed danger and began running at a rate of 10 miles per hour to reach the herd. The stray caught up in 5 minutes. Q. How long (in hours) did the stray run to catch up? How far did it run? A. The stray caught up in 5 minutes which is (5/60= 1/12 hr). He ran .83 of a mile (1/12 x 10 miles/hr = 10/12=0.83. Q. Find the distance that the herd traveled while the stray ran to catch up. Then write an expression for th total distance the herd traveled. Let x represent the distance (in miles) tha the herd traveled while the stray elephant stood still. A. Is the distance 6 miles/hr x 1/12miles = 6/12 = .5 miles? Please help me write the equation. I think I'm solving this, but I need help to make sure. Thanks in advance, Click here to see answer by oberobic(2304)
 Question 100667: I'm attempting to help my daughter with her homework, please HELP. A migrating elephant herd started moving at a rate of 6 miles per hour. One elephant stood still and was left behind. Then this stray elephant sensed danger and began running at a rate of 10 miles per hour to reach the herd. The stray caught up in 5 minutes. Q. How long (in hours) did the stray run to catch up? How far did it run? A. The stray caught up in 5 minutes which is (5/60= 1/12 hr). He ran .83 of a mile (1/12 x 10 miles/hr = 10/12=0.83. Q. Find the distance that the herd traveled while the stray ran to catch up. Then write an expression for th total distance the herd traveled. Let x represent the distance (in miles) tha the herd traveled while the stray elephant stood still. A. Is the distance 6 miles/hr x 1/12miles = 6/12 = .5 miles? Please help me write the equation. I think I'm solving this, but I need help to make sure. Thanks in advance, Click here to see answer by stanbon(57278)

 Question 100718: Find the measures of the angles of an isosceles triangle if the measure of the vertex angle is 40 degrees less than the sum of the measures of the base angles. I don't know how to set this problem up with two different linear equations, I think I got the first one and it's (x+x)-40=180...but I'm not very sure. I need help setting this problem up. Click here to see answer by edjones(7569)
 Question 100718: Find the measures of the angles of an isosceles triangle if the measure of the vertex angle is 40 degrees less than the sum of the measures of the base angles. I don't know how to set this problem up with two different linear equations, I think I got the first one and it's (x+x)-40=180...but I'm not very sure. I need help setting this problem up. Click here to see answer by stanbon(57278)

 Question 100874: the slope of the line perpendicular to x+3y=5 a)-1 b)3 c)-1/3 d)1/3 e)1 Click here to see answer by stanbon(57278)

 Question 100873: the slope of the line 2x-5y=3 Can you help me get this? a)2 b)-5 c)5/2 d)2/5 e)-3 Click here to see answer by jim_thompson5910(28536)
 Question 100873: the slope of the line 2x-5y=3 Can you help me get this? a)2 b)-5 c)5/2 d)2/5 e)-3 Click here to see answer by TP(29)

 Question 100963: Jimmy caught a big fish, its head was 5 inches long. The tail was as long as the head plus hlf of the body. Its body was as long as the head plus the tail. How long is the fish? This is not from a textbook, but from a worksheet given by the teacher. Click here to see answer by Nate(3500)
 Question 100963: Jimmy caught a big fish, its head was 5 inches long. The tail was as long as the head plus hlf of the body. Its body was as long as the head plus the tail. How long is the fish? This is not from a textbook, but from a worksheet given by the teacher. Click here to see answer by edjones(7569)

 Question 100928: This problem comes from a section involving systems of linear equations with two variables: If the numerator of a certain fraction is increased by 5 and the denominator is decreased by 1, the resulting fraction 8/3. However, if the numerator, of the original fraction is doubled and the denominator is increased by 7, then the resulting fraction is 6/11. Find the original fraction. Thanks in advance, para.lax Click here to see answer by scott8148(6628)

 Question 100974: One number is six less than a first number. A third number is twice the first number. If the sum of the three numbers is 306, find the numbers. Click here to see answer by doukungfoo(195)

 Question 101013: I am having trouble with this proble,. It is in a section of the textbook dealing with systems of equations with two variables. A fulcrum is placed so that weights of 60 pounds and 100 pounds are in balance. If 20 pounds is subtracted from the 100 pound weight, then the 60 pound weight must be moved 1 foot closer to the fulcrum to preserve the balance. Find the original distance between the 60 pound and 100 pound weights. Click here to see answer by scott8148(6628)

 Question 101111: crystal sells coffee. her special blend is a combination of french roast @ \$7.50 a lb. and kona deluxe @ \$11.50 a lb. how many pounds of kona should she mix with 12 lbs. of french roast to get a blend to be sold for \$10.00 a lb.? Click here to see answer by checkley71(8403)
 Question 101111: crystal sells coffee. her special blend is a combination of french roast @ \$7.50 a lb. and kona deluxe @ \$11.50 a lb. how many pounds of kona should she mix with 12 lbs. of french roast to get a blend to be sold for \$10.00 a lb.? Click here to see answer by stanbon(57278)

 Question 101060: Please help me with Celsius temperature readings can be converted to Fahrenheit readings using the formula F = 9/5 C + 32. What is the Fahrenheit temperature that corresponds to each of the following Celsius temperatures: -10,0, 15, 100? Click here to see answer by FBOFalcons(2)

 Question 101390: A rock is thrown upward at an initial velocity of 30 ft/sec from a height of 20 feet. What will its maximum height be? Click here to see answer by bucky(2189)

 Question 101439: Translate the following statement into an algebraic equaion. Let x represent the number. 6 times a number is 14 more than that number. Click here to see answer by bucky(2189)

 Question 101669: Translate to an equation and find all solutions Find the number whose square is 24 more than five times the number Click here to see answer by stanbon(57278)

 Question 101731: hello and thank you for the help.I put were i got before i realized the equations were not working at least i think thats the problem. thank you again. Dave borrowed \$25000 in total from two banks. The first bank charged him 6% per annum while the second charged 9% per annum. At the end of the first year he paid equal amounts of interest to each bank. Determine the amount borrowed at each rate? let x=money borrowed at 6% interest at 6% is 6%/100=0.06x let y=money borrowed at 9% interest at 9% is 9%/100=0.09y x+y=25000 (0.06x=0.09y)100 x+y=25000 6x=9y 9y+y=25000 10y=25000 y=2500 Click here to see answer by stanbon(57278)

 Question 101727: Translate to an equation and find all solutions: The length of a rectangle is 6m more than the width. the area is 40m^2. Find the length and the width Click here to see answer by MathLover1(6625)

 Question 101744: A theater has 30 rows of seats with 20 seats in each row. Tickets for the seats in the "n" rows closest to the stage cost \$45. and tickets for the other rows cost \$35. What is the cost when "n" = 5??? Thank you for your help. It has been driving me crazy..... Click here to see answer by edjones(7569)

 Question 101818: the temperature at which water boils is calculated using the formula;T=ma+b where T=temperature in degrees Celsius and a=altitude in metres. In Banff Alberta, the altitude is 1383m and water boils at 95 degrees Celsius.At the peak of Mt. Logan BC, the altitude is 5951m and the water boils at 80 degrees Celsius. Deteremine the values of m and b. thank you for taking the time to look at this question hope you do better than i did Click here to see answer by Fombitz(13828)

 Question 101847: three footballs and one soccer ball cost \$155. Two footballs and three soccer balls cost \$220. Determine the cost of one football and the cost of one soccer ball. Click here to see answer by doukungfoo(195)

 Question 101852: Hi Stan, In regards to question # 101836. We tried that also and did not put it in, but he said no, that was part of your salary. Rob Click here to see answer by stanbon(57278)

 Question 101783: Steve purchased tickets to a circus for 7 adults and 2 children. The total cost was \$172. The cost of a child's ticket was \$4 less than the cost of an adult's ticket. Find the price of an adult's ticket and a child's ticket. Click here to see answer by doukungfoo(195)

 Question 101895: Slove each right triangle. Round measures of side to the nearest tenth and measures of angles to the nearest degree. GIVEN: A= 25 degrees c=6 Click here to see answer by edjones(7569)

 Question 101873: 2x+2y=7 x+y=6 solve the following systems using substitution or elimination Click here to see answer by elima(1433)

 Question 101966: How would you go about solving this factor? Solve: 8x^2 + 2x = 3 Click here to see answer by stanbon(57278)

 Question 102257: 45 heads and 55 feet. Z=1 head and 3 feet. B=4 heads and 2 feet. How many Z's and B's can you make? Thank you. Click here to see answer by edjones(7569)

 Question 102299: Technology. Driving down a mountain, Tom finds that he has descended 1800 ft in elevation by the time he is 3.25 mi horizontally away from the top of the mountain. Find the slope of his descent to the nearest hundredth. Click here to see answer by stanbon(57278)

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