# 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 521071: Plant A is initially 10 inches tall and it grows 2 inches per week. Plant B is 20 inches tall and grows 1 inch per week. In how many weeks are the plants the same height? I need the systems and I'm having trouble getting them. Click here to see answer by scott8148(6628)

 Question 521156: 1.Jason invested \$20,000 in two accounts, one paying 7% and the other payijng 9%in annual interest. If the total interest he earned for the year was \$1550, how much did he invest in each? 2. Meg owes \$13,250 on two student loans. One loan has an APR of 5%; the other, an APR of 8%. If the total interest after one year is \$727, what is the amount of each loan? 3.Sharon an Rae are riding bicycles on the same trail in the same directions. Sharon crosses a bridge at 12:18 p.m. Rae crosses the same bridge at 12:33 p.m. If Sharon is going 8 miles per hour and Rae is going 10 miles per hour,when will Rae catch up with Sharon? 4.A pharmicist is preparing a 300-milliliter solution of alcohol. If she has 15% and 45% alcohol solutions in stock, how muchof each must she use? Click here to see answer by solver91311(16877)

 Question 521237: In comparing two local well-known DJs for this year’s street dance, you see two good choices. DJ Joe charges \$100 for each hour of play time. DJ Dan charges a fee of \$150, plus \$75 an hour of play time. a. For two hours of play time, what would be the charge for each and who would charge the lesser amount? b. For eight hours of play time, what would be the charge for each and who would charge the lesser amount? c. For how many hours would DJ Joe provide the better deal? Express your answer as an inequality. Explain how you found your answer. Click here to see answer by mananth(12270)

 Question 521290: how to solve this equation for the indicated variable. d+e+f= 180, for f Click here to see answer by oberobic(2304)

 Question 521370: A rectangular swiming pool is three times as long as it is wide and is surrounded by a deck 2.5m wide. Find the dimentions of the pool if the area of the deck the deck is 265msquared. Click here to see answer by mananth(12270)

 Question 521515: you belong to a school organization that is trying to raise money for its annual trip to new york city. the organization decides to hold a concert at a local site that can accomadate 1500 people. it will cost the organization \$1200 to rent the hall and provide security. the band wants \$3000 but you get them to agree to a price of \$2000 plus 20% of the cost of each ticket sold with a limit of \$5000. you are pretty sure the band will attract at least 800 people. if you want the breakeven point to be 800 tickets sold what must be the price of the ticket? Click here to see answer by josmiceli(9671)

 Question 521591: a point (x,y) is randomly selected such that 0 I went through and found 17 possiblities but not sure how to do it has a formula and how many total possibities Click here to see answer by solver91311(16877)

 Question 521891: one of two complementary angles is 24 degrees more than twice the other. find the mesure of each angle Click here to see answer by geometryworm7271(30)

 Question 522122: Amy paid \$54.99 for a pair of running shoes during a 35% off sale. What was the regular price? How do I solve this problem, plase help. Deanna Danner Click here to see answer by umnikmo(75)

 Question 522393: Mr.Cruz buys some wood and pays \$245. Each bundle of wood costs \$15 and there is a delivery change of \$35. How many bundles of wood did Mr.Cruz buy? Click here to see answer by solver91311(16877)

 Question 522408: A rectangle is 4 times longer than it is wide. The perimeter of the rectangle is 30cm. Find the dimensions of the rectangle. Click here to see answer by oberobic(2304)

 Question 522412: solve the system: 3x+4y=40 x-2y=0 solve the system: 3x+4y=-2 x=-2y Click here to see answer by solver91311(16877)

 Question 522416: (1,-4,3) is the solution to the system: x+y+z=0 x-y+5z=20 5x+y+z=4 true or false Click here to see answer by Alan3354(30993)
 Question 522416: (1,-4,3) is the solution to the system: x+y+z=0 x-y+5z=20 5x+y+z=4 true or false Click here to see answer by richwmiller(9135)

 Question 522519: A local hospital is holding a two day marathon walk to raise funds for a new research facility. The total distance of the marathon is 26.2 miles. On the first day, Martha starts walking at 10:00 am. She walks 4 miles per hour. Carol starts two hours later than Martha but decides to run to catch up to Martha. Carol runs at a speed of 6 miles per hour. Carol wants to reduce the time she takes to catch up to Martha by 1 hour. How can she do this by changing her starting time? How can she do this by changing her speed? Click here to see answer by mananth(12270)

 Question 522560: A state emplotees' pension fund invested a total of one million dollars in tow accounts that earned 3.5% and 4.5% annual interest. At the end of the year, the total interest earned form the two investments was \$39,000. How much was invested at each rate? ( i cant figure out the 2 equations) Click here to see answer by Earlsdon(6287)

 Question 522789: The number of minutes in an hour is the same as a number times three, minus 3. Click here to see answer by umnikmo(75)

 Question 522670: Doreen and Irena plan to leave their houses at the same time, roller blade towards each other, and meet fo rlunch after 4 hours on the road. Doreen can maintain a speed of 7 mph, which is 70% of Irena's speed. If they meet exactly as planned, what is the distance between their houses. Click here to see answer by ankor@dixie-net.com(15649)

 Question 522874: how to write it this promblem The difference of two positive numbers is 10. The larger is twice the smaller decreased by 7. Find the two numbers Click here to see answer by umail08(87)

 Question 522918: If one blend of coffee sells for \$9.00 per pound and another blend sells for \$8.00 per pound how many of each type should be used to maake a 20 pond blend that sells for \$8.40 per pound? Click here to see answer by josmiceli(9671)

 Question 522950: Solve the system by the elimination method. 5x + 3y = -11 7x - 2y = 19 Click here to see answer by mananth(12270)

 Question 523649: sue bought 4 packs of cookies and 3 sacks of potato chips for 5.01. Later she bought 3 pack of cookies and 5 sacks of potato chips for 5.27. what is the price of a pack of cookies? Click here to see answer by stanbon(57307)
 Question 523649: sue bought 4 packs of cookies and 3 sacks of potato chips for 5.01. Later she bought 3 pack of cookies and 5 sacks of potato chips for 5.27. what is the price of a pack of cookies? Click here to see answer by oberobic(2304)

 Question 523671: i need to know what is the lcm of 20x^4z^3, 4x^3z^9 Click here to see answer by stanbon(57307)

 Question 523692: A model iin new orleans charges \$90.00 dollars a day for a double occupacy, and they charge \$80.00 for a single occupacy. If 80 rooms are occupied for a total of 6930, how many rooms of eachkind are occupied? Click here to see answer by Maths68(1474)

 Question 523963: I don't really have a specific question, but I'm having major problems with word problems. Any Advice?? :) Click here to see answer by Alan3354(30993)

 Question 523990: The sum of two numbers is 20. Their difference is 4. Write the system of linear equations first,then solve the system of equations Click here to see answer by lagbens(14)

 Question 524006: you've begun to jog for 1 hour day 3 times a week. if you jog 5.5 miles an hour, how far will you jog each week? Click here to see answer by solver91311(16877)

 Question 523626: Formulate a system of equations for the situation below and solve. A theater has a seating capacity of 732 and charges \$4 for children, \$6 for students, and \$8 for adults. At a certain screening with full attendance, there were half as many adults as children and students combined. The receipts totaled \$4540. How many children attended the show? Click here to see answer by ankor@dixie-net.com(15649)

 Question 524141: The weight of a body above sea level varies inversely with the square of the distance from the center of Earth. If a women weighs 119 pounds when she is at sea level, 3960 miles from the center of Earth, how much will she weigh when she is at the top of a mountain, 1.8 miles above sea level? Click here to see answer by stanbon(57307)

 Question 524388: Describe how to solve a linear equation using the equality properties. Demonstrate the process with an example. Next, replace the equal sign in your example with an inequality by using the less than or greater than sign. Then solve the inequality. Click here to see answer by solver91311(16877)

 Question 524212: An alloy of silver and gold weighs 15 ounces in air and 14 ounces in water. Assuming that the silver loses 1/10 of its weight in water and that gold loses 1/19 of its weight, how many ounces of each metal are in the alloy? Click here to see answer by ankor@dixie-net.com(15649)

 Question 524618: A gardener has up to 270 square feet available for planting flowers and vegetables. The gardener wants thespace used for vegetables to be at least twice the space used for flowers. In addition, at 35 least square feet is to be used for flowers. Let x denote the area in square feet used for flowers, and y let denote the area in square feet used for vegetables. Shade the region of the plane that represents all allocations of space satisfying these Click here to see answer by stanbon(57307)

 Question 524719: two trains leave simultancouly traveling on the same track in opposite directions at speeds of 50 and 64 mph. How long will it take before they are 285miles apart Click here to see answer by josmiceli(9671)

 Question 524740: Hi anyone, Could you help me solve this problem...I keep getting an answer that does not make any sense to me...its the pennies that are confusing..I know they represent p=1 and d=10 but I am having trouble setting up the problem..please help!!! Chris Here is the problem: Josh has a change jar that contains only dimes and pennies. He has 32 coins which add up to a total of \$1.85. How many of each type of coin does he have? Click here to see answer by mananth(12270)

 Question 524827: Gavin Royse needs a layout of his yard. He is doing some landscaping and needs to have a grid of his yard for the landscape workers to use when putting in his fence and the two new trees that he bought. His house sits on an angle on the lot, which measures 80 feet by 80 feet. The boundaries of his house are described by the four equations below. 3x-4y=55 3x+2y=85 3x-4y=-125 3x+2y=175 The house faces southwest. The fence will run from the farthest north corner of the house to 5, 80 and then run along the north lot line to the corner of the lot 80, 80. It will then head south on the lot line to 80, 30. From there it will angle toward the house to 55,5 and then head to the farthest east corner of the house. A shade tree will be placed at the intersection of 3x-4y=55 and x+3y=170, while an ornamental tree will be placed 15 feet south of the west corner of the house. Prepare a graph for the landscape workers to use as a guide. Follow these steps to organize your data. · Determine how to set up the graph and its scale · Construct a colorful and detailed graph that Gavin could give to the landscaper workers. · Create the system of inequalities that describes Gavin’s fenced area. · Determine the vertices of the house. · Determine the vertices of the two trees. Write a detailed description for the workers of the work that needs to be done and the area where the work is to be done. Click here to see answer by solver91311(16877)

 Question 524952: 500 students are in a small private school. 2/3 of the girls play soccer. 1/3 of the boys play soccer. 100 girls do not play soccer. How many boys are in this school? Click here to see answer by josmiceli(9671)

 Question 525058: if he has 3 times as many as her, they have a total of 36 together. how many does she have? Click here to see answer by lmeeks54(105)

 Question 526237: JOhn has 5 more cd's than twice the number Juan has. Click here to see answer by Alan3354(30993)

 Question 526295: Set up the following word problem as an equation or expression and solve. Then finish your response by answering the question in the word problem with a complete sentence. After a 20% increase in patients, a clinic treated 240 patients per week. How many patients did the clinic see the week before the increase? I got 100% on my 20 question math test on percentages/decimals/mixture problems and the like, but this problem goes right over my head. If you could simply map out the formula and explain why that would be awesome. I'm not looking for someone to do this work for me, just help me get it started. Thank you! Click here to see answer by scott8148(6628)

 Question 526296: A textbook costs a bookstore \$44, and the store sells it for \$55. Find the rate of profit based on the selling price. Click here to see answer by Alan3354(30993)

 Question 526293: The owner of a pizza parlor wants to make a profit of 80% of the cost for each pizza sold. If it costs \$8.50 to make a pizza, at what price should each pizza be sold? Click here to see answer by oberobic(2304)

 Question 526700: Can you please help me answer this? Mark is 11 years older than his sister. In 8 years he will be twice as old as she will be then. How old art they now? Click here to see answer by ankor@dixie-net.com(15649)

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