# 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 109402: Tickets for an event cost \$5 for children, \$11 for adults, and \$6 for senior citizens. The total ticket sales were \$1750. There were 50 more adult tickets sold than child tickets, and the number of senior citizens tickets were 4 times the number of child tickets. How many of each ticket were sold? Click here to see answer by ptaylor(2052)

 Question 109396: a jet plane travelling at a constant speed goes 1200 mi with the wind , then turns around and travels for 1000 mi against the wind . If the speed of the wind is constant 50 mph , and the total flight took 4 hrs , find the speed of the plane. Click here to see answer by ankor@dixie-net.com(15746)

 Question 109664: Hockey teams get 2 points in the standing for a win, one point for a tie, and no points for a loss. If a team has 27 points, and has 4 more wins than ties, how many wins do they have ? Click here to see answer by stanbon(57960)
 Question 109664: Hockey teams get 2 points in the standing for a win, one point for a tie, and no points for a loss. If a team has 27 points, and has 4 more wins than ties, how many wins do they have ? Click here to see answer by solver91311(17077)

 Question 109709: tom quig travelled 270 miles east of st louis . for most of the trip he travelled 70mph , byt for one period of thme he was slowed to 20 mph due to major accident . if the total time of travel was 6 hours , how many miles did he drive on the reduced speed? Click here to see answer by ankor@dixie-net.com(15746)

 Question 109753: The number of milligrams of a certain substance per liter in samples of drinking water all tested within .05 of 40 milligrams per liter. Write this information as an inequality, using an absolute value. Click here to see answer by stanbon(57960)

 Question 109807: a boat can go 60 mph in still water . it takesas long to go 560 miles upstream as it does to go downstream 640 miles. how fast is the current? Click here to see answer by stanbon(57960)

 Question 109840: Jill has 3.50\$ in nickels and dimes. If she has 50 coins, how many of each type of coin does she have? Click here to see answer by josmiceli(9817)

 Question 109826: Please help me with this word problem, I'm very puzzled and have been trying to come up with a solution for hours! Suppose wheat and sugar are two basic ingredients necessary to bake two items:a loaf of bread and a muffin. A baker has 25 pounds of wheat and 5 pounds of sugar. To bake each loaf of bread, the baker needs to use 1.3 pounds of wheat and 0.5 pounds of sugar. To bake each muffin, the baker needs 0.4 pound of wheat and 0.16 pound of sugar. 1) Set up the inequalities representing the baker's possible choices for baking the number of loaves of bread and muffins to use up his available resources (wheat and sugar). 2) If each loaf of bread is sold for \$2.50, and each muffin is sold for \$1.15 , define an equation to represent the baker's profit formula. Click here to see answer by stanbon(57960)

 Question 109805: Linear Programming. I need help finding the 3 inequalities for this word problem. A College Arena sells tickets to students and the public. Students tickets are \$10 each and general public tickets are \$20 each. The college reserves at least 6,000 tickets for the students. The arena seats 12,000 Click here to see answer by stanbon(57960)

 Question 110117: an outboard motor calls for a fuel mixture of gasoline and oil to be 50 to 1. That is, 50 parts of gasoline to 1 part of oil. How many pints of oil should be added to 6 gallons of gasoline? Click here to see answer by stanbon(57960)
 Question 110117: an outboard motor calls for a fuel mixture of gasoline and oil to be 50 to 1. That is, 50 parts of gasoline to 1 part of oil. How many pints of oil should be added to 6 gallons of gasoline? Click here to see answer by bucky(2189)

 Question 110132: There is a pole in a lake. 1/2 of the pole is in the ground, another 1/3 of it is covered with water, and 10ft is out of water. What is the toal length of the pole in ft? Click here to see answer by stanbon(57960)

 Question 110023: A boat traveled 210 miles downstream and back ( 210 miles each way ). The trip downstream took 10 hours. The trip back took 70 hours. What is the speed of the boat in still water? What is the speed of the current? For the current speed I came up with the answer of 8.3 mph. But I could not figure out the speed of the boat in still water. Click here to see answer by scott8148(6628)

 Question 110564: A department store held a sale to sell all of the 214 winter jackets that remained after the season ended. Until noon, each jacket in the store was priced at \$31.95. At noon, the price of the jackets was further reduced to \$18.95. After the last jacket was sold, the total receipts for the clearance sale were \$5108.30. How many jackets were sold before noon and how many were sold after noon? Click here to see answer by checkley71(8403)

 Question 110568: You buy a total of 4 pounds of two kinds of candy. One is for your upcoming party and costs \$2.- per pound. However, you also treat yourself to a fancy kind that costs \$10 per pound, to be enjoyed in solitude. You spend a total of \$12. How many pounds of gourmet candy did you buy? Click here to see answer by checkley71(8403)

 Question 110562: A florist is creating 10 centerpieces for a wedding. The florist can use roses that cost \$2.50 each, lilies that cost \$4 each, and irises that cost \$2 each to make the bouquets. The customer has a budget of \$300 and wants each bouquet to contain 12 flowers, with twice as many roses used as the other two types of flowers combined. How many of each type of flower should be in each centerpeice? Click here to see answer by ankor@dixie-net.com(15746)

 Question 110677: I am not sure if this is the right topic I chose could not find one for Inverse Variation: According to Newton's Law of Graviation, the force of attractions between two objects varies jointly as thir masses and inversely as the square of the distance between them. How does the force change if each of their masses is tripled but the distance bewteen them is cut to one-third? Click here to see answer by stanbon(57960)
 Question 110677: I am not sure if this is the right topic I chose could not find one for Inverse Variation: According to Newton's Law of Graviation, the force of attractions between two objects varies jointly as thir masses and inversely as the square of the distance between them. How does the force change if each of their masses is tripled but the distance bewteen them is cut to one-third? Click here to see answer by MathLover1(6810)

 Question 110817: Please help my teacher is not explaining this to me right and im terrible at linear Equations and word problems please help. 1. You have 94 coins in a bottle. If the coins are only nickels and quarters and they total \$17.50, how many of each do you have?? 2.Max collects coins. he has a combination of dimes and quarters totaling 33 coins dating circa 1970 the total value is \$6.15 how many dimes and quarters does he have?? 3.There were 160 concert tickets sold. The Adults cost \$22 and Students cost \$8.50, the ticket sales totaled \$2899. How many of each ticket were sold?? Click here to see answer by stanbon(57960)

 Question 110839: In 1960 80% of children were born in 2 parent homes. In 1980 50% of children were born in 2 parent homes. Choose two values of x to input into the function and find the corresponding y for each. Click here to see answer by Edwin McCravy(8999)

 Question 110862: Can you help me to understand how to translate words to from an equation? Here is my problem. Translate to an algebra statement and do not solve it 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 edjones(7569)

 Question 110972: The sum of three numbers is 8. Twice the smallest is 2 less than the largest, and the sum of the largest and smalles is 5. Use linear system in three variables to find the three numbers. Click here to see answer by scott8148(6628)

 Question 110933: HOW MANY YEARS WILL IT TAKE \$3000 TO GROW TO \$4667 IF IT IS INVESTED AT AN ANNUAL RATE OF 13%, COMPOUNDED CONTINUOUSLY? ROUND YOUR ANSWER TO ONE DECIMAL PLACE. Click here to see answer by stanbon(57960)

 Question 111003: Sheri drove southeast from Albuquerque to Roswell and then south to Carlsbad. She averaged 75 mph along the route from Albuquerque to Roswell and averaged 70 mph from Roswell to Carlsbad. She covered the entire 220 miles in 3 hours. How long did she take to dri 5.ve from Albuquerque to Roswell? A) 2 hours B) 1 hour C) 1.5 hours D) 2.5 hours Click here to see answer by checkley71(8403)

 Question 111008: Sheri drove southeast from Albuquerque to Roswell and then south to Carlsbad. She averaged 75 mph along the route from Albuquerque to Roswell and averaged 70 mph from Roswell to Carlsbad. She covered the entire 220 miles in 3 hours. How long did she take to dri 5.ve from Albuquerque to Roswell? A) 2 hours B) 1 hour C) 1.5 hours D) 2.5 hours Click here to see answer by checkley71(8403)

 Question 111004: Sheri drove southeast from Albuquerque to Roswell and then south to Carlsbad. She averaged 75 mph along the route from Albuquerque to Roswell and averaged 70 mph from Roswell to Carlsbad. She covered the entire 220 miles in 3 hours. How long did she take to dri 5.ve from Albuquerque to Roswell? A) 2 hours B) 1 hour C) 1.5 hours D) 2.5 hours Click here to see answer by checkley71(8403)

 Question 111007: Sheri drove southeast from Albuquerque to Roswell and then south to Carlsbad. She averaged 75 mph along the route from Albuquerque to Roswell and averaged 70 mph from Roswell to Carlsbad. She covered the entire 220 miles in 3 hours. How long did she take to dri 5.ve from Albuquerque to Roswell? A) 2 hours B) 1 hour C) 1.5 hours D) 2.5 hours Click here to see answer by checkley71(8403)

 Question 111005: Sheri drove southeast from Albuquerque to Roswell and then south to Carlsbad. She averaged 75 mph along the route from Albuquerque to Roswell and averaged 70 mph from Roswell to Carlsbad. She covered the entire 220 miles in 3 hours. How long did she take to dri 5.ve from Albuquerque to Roswell? A) 2 hours B) 1 hour C) 1.5 hours D) 2.5 hours Click here to see answer by checkley71(8403)

 Question 111006: Sheri drove southeast from Albuquerque to Roswell and then south to Carlsbad. She averaged 75 mph along the route from Albuquerque to Roswell and averaged 70 mph from Roswell to Carlsbad. She covered the entire 220 miles in 3 hours. How long did she take to dri 5.ve from Albuquerque to Roswell? A) 2 hours B) 1 hour C) 1.5 hours D) 2.5 hours Click here to see answer by checkley71(8403)

 Question 111000: Janet invested \$27,000, part at 15% and part at 9%. If the total interest at the end of the year is \$3,390, how much did she invest at 15%? Click here to see answer by scott8148(6628)

 Question 111002: 4. Determine if the following system of equations is independent, dependent, or inconsistent: –7x – 5y = –4 –35x – 25y = 13 A) Independent B) Dependent C) Inconsistent Click here to see answer by stanbon(57960)

 Question 111168: please help me solve- The larger of two numbers is 9 more than forur times tha smaller. If the larger is incresed by four times the smaller, the result is 40. Find the numbers Click here to see answer by doukungfoo(195)
 Question 111168: please help me solve- The larger of two numbers is 9 more than forur times tha smaller. If the larger is incresed by four times the smaller, the result is 40. Find the numbers Click here to see answer by MathLover1(6810)

 Question 111201: The sum of two numbers is 31. The larger is 2 less than twice the smaller. Find the numbers. Click here to see answer by checkley71(8403)

 Question 111120: Please help me solve the following problem: Mark and Rachel both work for Smith Landscaping Company. Mark can finish a planting job in 4 hours, while it takes Rachel 5 hours to finish the same job. If Mark and Rachel will work together on the job, and the cost of labor is \$40 per hour, what should the labor estimate be? Thank you Click here to see answer by ankor@dixie-net.com(15746)

 Question 111472: The volume V of a gas varies inversely as the pressure P on it. The volume of a gas is 240 cm3 under a pressure of 23 kg/cm2 What will be its volume under a pressure of 30 kg/cm2? Click here to see answer by Fombitz(13828)

 Question 111562: Horse trading. Gene selling his palomino at an auction. The auctioneer’s commission is 10% of the selling price. If Gene still owes \$810 on the horse, then what must the horse sell for so that Gene can pay off his loan? Click here to see answer by edjones(7569)

 Question 111473: Given the values of x and y, find an equation of variation in which y varies directly as x. y = 8, when x = 5 Click here to see answer by edjones(7569)

 Question 111474: For the pair of similar triangles, find the length of the indicated side. In the outer triangle, the shortest side has length 6, and the middle side has length 9. In the inner triangle, the shortest side has length 2, the middle side has length 3, and the longest side has length 4. Find the length, x, of the longest side of the outer triangle. Click here to see answer by edjones(7569)

 Question 111584: what is the algebra statement for 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 stanbon(57960)

 Question 111578: A SMALL CORPORATION BORROWED \$800,000 TO EXPAND ITS LINE OF TOYS. SOME OF THE MONEY WAS BORROWED AT 8%, SOME AT 9%, AND SOME AT 10%. HOW MUCH WAS BORROWED AT EACH RATE IF THE ANNUAL INTEREST OWED WAS \$67,000 AND THE AMOUNT 8% WAS FIVE TIMES THE AMOUNT BORROWED AT 10%. Click here to see answer by Fombitz(13828)

 Question 111577: the sum of two numbers is 38. The second is 5 more than 2 times the first. What are the two numbers? Click here to see answer by wgunther(43)

 Question 111573: Please help. 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. Thanks JMS Click here to see answer by checkley71(8403)

 Question 111883: the path of a falling object is given by the fuction s=-16t^2+v0t+s0 where v0 represents the initial velocityin ft/sec and s0 represents the initial height in feet.(the 0's are realy below the v and s ,i couldn't write them below them.) a. if a rock is thrown upward with an initial velocity of 64 feet per second from the top of a 25-foot building, write the equation using this information. b. how high is the rock after 1 second? c.after how many seconds will the graph reach maximum height? d. What is the maximum height? Click here to see answer by scott8148(6628)

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