# Questions on Word Problems: Linear Equations And Systems Word Problems answered by real tutors!

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## Tutors Answer Your Questions about Linear Equations And Systems Word Problems (FREE)

 Question 320929: A full-price ticket for a college basketball game costs \$6.00, and a student ticket costs \$4.25. If 496 tickets were sold, and the total receipts were \$2,498.25, how many tickets were student tickets? Click here to see answer by nyc_function(2733)

 Question 321016: An aquarium tank can hold 6600 liters of water. There are two pipes that can be used to fill the tank. The first pipe alone can fill the tank in 66 minutes. The second pipe can fill the tank in 55 minutes by itself. When both pipes are working together, how long does it take them to fill the tank? Click here to see answer by josmiceli(9698)

 Question 321017: Ahmad drove 202 miles using 8 gallons of gas. At this rate, how many miles would he drive using 14 gallons of gas? Click here to see answer by rfer(12678)

 Question 321156: 9.7X+4.3=15.8-2.4X Click here to see answer by rfer(12678)
 Question 321156: 9.7X+4.3=15.8-2.4X Click here to see answer by checkley77(12569)

 Question 321313: if 4 is added to a number and the sum is doubled, then the result is 18 less than the number. Find the number. Click here to see answer by stanbon(57424)

 Question 321374: I cannot figure out how to do this!! Unit labor and material costs for manufacturing each of three types of products M, N, and P are given in the table below. Product M N P Labor 60 30 30 Materials 70 10 50 The weekly allocation for labor is \$60,000 and for materials is \$90,000. There are to be twice as many units of product M manufactured as units of product P. How many of each type of product should be manufactured each week to use exactly each of the weekly allocations? Hint: You will have three equations in three variables when you are done. Click here to see answer by Theo(3472)

 Question 321389: Two of the top grossing concert tours were by a jazz band and a rock band. Together the two visited 173 cities. The jazz band visited 93 more cities than the rock band. how many cities did the jazz band visit? how may cities did the rock band visit? Click here to see answer by stanbon(57424)

 Question 321450: store orders 42 calculators, and pays \$10 for scientific, and \$54 for graphing. How many of each were ordered? Click here to see answer by checkley77(12569)

 Question 321651: 1.)Factor x² - 4x + 4 – 9y². 2.)The volume of a rectangular prism is represented by the polynomial 2x3 - 24x2 + 72x. (a) Factor the polynomial completely. (b) If x represents 8 cm, what are the possible dimensions of the prism? (c) Could x represent 5cm? Explain. 3.)x4 + 22x2 + 121 Click here to see answer by mananth(12270)
 Question 321651: 1.)Factor x² - 4x + 4 – 9y². 2.)The volume of a rectangular prism is represented by the polynomial 2x3 - 24x2 + 72x. (a) Factor the polynomial completely. (b) If x represents 8 cm, what are the possible dimensions of the prism? (c) Could x represent 5cm? Explain. 3.)x4 + 22x2 + 121 Click here to see answer by toidayma(44)

 Question 321634: Dave and Judi Mihaly own 50 shares of Microsoft and 50 shares of Apple. At the close of markets their stock portfolio was worth \$6035.90. The closing price of microsoft was \$60.68 less than the closing price of Apple. What was the price of eachstock that day? Click here to see answer by mananth(12270)

 Question 321698: . Suppose you have a lemonade stand, and when you charge \$1 per cup of lemonade you sell 60 cups. But when you raise your price to \$1.50 you only sell 30 cups. Write an equation for the number of cups you sell as a function of the price you charge. Denote "C" for number of cups, and "P" for the price you charge. Assume the function is linear. Click here to see answer by ankor@dixie-net.com(15667)

 Question 321836: Bob received \$14,000 inheritance and divided it between a mutual fund that yielded a yearly return of 5% and a 1-year CD that paid 3.5% annually. If his total earnings for the year on this investment was \$640, how much did he invest in each of these two funds? Click here to see answer by ankor@dixie-net.com(15667)

 Question 322113: To make a special mix for Valentine’s Day, the owner of a candy store wants to combine chocolate hearts that sell for \$5 per pound with candy kisses that sell for \$3.50 per pound. How many pounds of each kind should be used to get 30 pounds of a mix that can be sold for \$4.50 per pound? Click here to see answer by checkley77(12569)

 Question 322102: Hi, I cannot remember the formula for a problem of this nature. Can anyone help. A person has invested part of \$27000 in a fund that paid 9% and the rest in a stock that suffered a 5% loss, I love that hidden message. Find the amount of each investment if the overall net profit was 1730.00. Thanks in advance. Click here to see answer by checkley77(12569)

 Question 322259: A truck can be rented from Basic Rental for \$50 per day. In addition, you have to pay \$0.20 per mile. Continental charges \$20 per day in addition to \$0.50 per mile to rent out the same truck. How many miles must you drive in a day to make the rental cost for Basic Rental a better deal than that for Continental? Please show all the steps. Click here to see answer by mananth(12270)

 Question 322258: You need to choose between two telephone plans for local calls. Plan A charges \$25 per month for unlimited calls. Plan B charges a monthly fee of \$13 with a charge of \$0.06 per local call. How many local telephone calls in a month make Plan A the better deal? Please show all steps. Click here to see answer by mananth(12270)

 Question 322165: The Natchez Tace Parkway is a historical 444- mile route from Matchez, Mississippi to Nashville, Tennesse. A couple drove the Trace in four days. Each day they drove 6 miles mre than the previous day. How many miles did they drive each day? Click here to see answer by Fombitz(13828)

 Question 322531: Bay side insurance offers two health plans. Plan a you have to pay the first \$110 of medical bills plus 25% of the rest. Plan B you would pay the first \$240 but only 20% of the rest. What amount of medical bill will save you money. Assume you have over \$240 in bills. How much would you save with with Plan B if you had more in bills? Thanks for your help I have been working on this problem all afternoon. Click here to see answer by jim_thompson5910(28598)

 Question 322661: In 1948, Earl Shaffer became the first person to hike all the 2100 mi of the Appalachian trial- from Springer Mountain, Georgia, to Mt. Katahdin, Maine. Shaffer repeated the feat 50 years later, and at the age of 79 became the oldest person to hike the entire trail. When Shaffer stood atop Big Walker Mountain, Virgina, he was three times as from from the northern end of the trail as from the southern end. At that point, how far was he from each end of the trail? Click here to see answer by solver91311(16897)

 Question 322718: Determine solution: 2x+3y+7z=13 3x+2y-5z=-22 5x+7y-3z=28 Click here to see answer by Fombitz(13828)

 Question 322644: 1n 2005,a father was 4 times as old as his son.in the year 2015,thrice the son's age will exceed the father's age by ten years,in which year was the son born? Click here to see answer by ankor@dixie-net.com(15667)

 Question 322850: Basal energy requirement. The basal energy requirement B is the number of calories that a person needs to maintain the life process. For a 28-year-old female with a height of 160 centimeters and a weight of 45 kilograms (kg), B is 1300 calories. If her weight increases to 50 kg, then B is 1365 calories. There is a linear equation that expresses B in terms of her weight w. Find the equation and find the basal energy requirement if her weight is 53.2 kg. Click here to see answer by stanbon(57424)

 Question 322824: A chemist has one solution that is 80% acid and a second solution that is 44% acid. She wants to combine the solutions to make a new solution that is 53% acid. If she needs to make 320 Milliliters of this new solution, how many milliliters of the two solutions should be mixed? Click here to see answer by Fombitz(13828)

 Question 323679: find the equation of the horizontal line that passes through the point (-11,-7) Click here to see answer by JBarnum(2044)

 Question 322796: Solve the following Linear Programming problem using the corner point method. Maximize - 3X + 5Y Subject to - 4X + 4y <=48 X + 2Y <=20 X,Y >= o a) Plot the graph for each b) Find the four corner points c) Find the profit for each Point d) What is the maximum profit? My answer: Graph 4x + 4y <= 48 Graph x + 2y = 20 X= 0 y=12 x= 0 y= 10 x= 0 y= 12 x = 20 y= 0 I have done the graph but I do not know how to work the rest Click here to see answer by Fombitz(13828)

 Question 322801: Billy Penny is trying to determine how many units of two types of lawn mowers to produce each day. One of these is the standard model, while the other is the deluxe model. The profit per unit on the standard model is \$60, while the profit per unit on the deluxe model is \$40. The standard model requires 20 minutes of assembly time, while the deluxe model requires 35 minutes of assembly time. The standard model requires 10 minutes of inspection time, while the delux model requires 15 minutes of inspection time. The company must fill an order for 6 deluxe models. There are 450 minutes of assembly time and 180 minutes of inspection time available each day. How many units of each product should be manufactured to maximize profits? x= number of standard units to produce y= number of deluxe units to produce Maximize Subject to: My answer: x y Stan. Mod. Del. Model Avail. hours Assembly Time 20 10 450 Inspection Time 35 15 180 Profit \$60 \$40 Maximize - 60X + 15Y Subject to - 20x + 35y <= 450 10x + 15y <= 240 y<=6 then I get lost Click here to see answer by Fombitz(13828)

 Question 323633: HOW MANY MILES MUST YOU DRIVE IN A DAY TO MAKE THE RENTAL COST FOR BASIC RENTAL A BETTER DEAL THAN THAT FOR CONTINENTAL? WHEN A TRUCK CAN BE RENTED FROM BASIC RENTAL FOR \$50 PER DAY. IN ADDITION, YOU HAVE TO PAY \$0.20 PER MILE. CONTINENTAL CHARGES \$20 PER DAY IN ADDITION TO \$0.50 PER MILE TO RENT OUT THE SAME TRUCK. Click here to see answer by solver91311(16897)

 Question 323799: The cost of a new math textbook was \$80 in 2005. It went up to \$120 in 2010. Assuming the cost increases linearly, write an equation representing the cost as a function of time. Click here to see answer by josmiceli(9698)

 Question 323869: How many prime numbers are there between -4 and 20 on the number line? Click here to see answer by solver91311(16897)

 Question 323836: Please help me solve this equation: A machine produces 192 bolts in 36 minutes. At the same rate, how many minutes would it take to produce 256 bolts? Click here to see answer by ankor@dixie-net.com(15667)

 Question 324134: Is it considered sinning if you kill a frog? Even if it was an accident? Click here to see answer by stanbon(57424)

 Question 308009: Okay how do I solve the following questions by following this rule: "Graph the following equations; calculate the slope, x-intercept, and y-intercept, and label the intercepts on the graph." 4. y = -2x - 7 5. 2x + 3y = 9 6. 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? 7. The points (1,5), (4,5), and (1,0) represent three corners of a rectangle; find the coordinates of the fourth point. 8. Seven inches are equivalent to 17.78 cm. Find the equation converting length in cm to length in inches. What is the length in inches of a 96.2 cm bar? 9. Find an equation in slope-intercept form passing through the points (2,5) and (7,-3). 10. 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? Many many thanks for those who can help with these questions. Click here to see answer by FeliciaGail(1)

 Question 324252: A company has income of \$100,000 before paying taxes and a bouns. The bouns B is to be 20% of the income after deducting income taxes. T but before deducting the bouns so B=0.20(100,000 -T) Click here to see answer by rapaljer(4667)

 Question 324280: According to a census, the population of a country was about 151 million in 1936 and 249 million in 1976. Find the slope of the line representing this equation. Click here to see answer by nyc_function(2733)

 Question 324436: Jen Butler had been pricing speed-pass train fares for a group trip to new york. three adults and four children must pay \$121. two adults and three children must pay \$86. find the price of the adults tickets and the children's tickets. Click here to see answer by nyc_function(2733)

 Question 324537: Candy A sells for \$2.50 / kg. Candy B sells for \$5.00 / kg. What quantities of each candy should be used to make up 100 kg to sell for \$4.00 / kg? Click here to see answer by Fombitz(13828)

 Question 323379: A chemist has two large containers of sulfuric acid solution, with different concentrations of acid in each container. Blending 300 mL of the first solution and 600 mL of the second gives a mixture that is 15% acid, whereas 100mL of the first mixed with 500 mL of the second gives a 12 1/2% acid mixture. What are the concentrations of sulfuric acid in the original containers? Click here to see answer by Fombitz(13828)

 Question 324528: If a blueprint is drawn to the scale 1/8 inch = 1foot, what is the size of the corresponding part of a final product if the blueprint measurement is 43/8 inches? Click here to see answer by Fombitz(13828)

 Question 324539: Candy A sells for \$2.50 /kg. Candy B sells for \$5.00 /kg. What quantities of each kind of candy should be used to make up a 100 kg mixture to sell for \$4.00 /kg? Click here to see answer by Fombitz(13828)

 Question 324649: Problem A certain number contains two digits with the tens being one larger than thrice the units digit. If five times the sum of the digits is subtracted from the number, the difference will be the number with its digits in reversed order what is the number? Click here to see answer by JBarnum(2044)

 Question 324398: a collection of 130 coins of quarters and dimes.each coin is worth 4 times its face value, collection is worth \$94.00 How many of each type of coin? Click here to see answer by ankor@dixie-net.com(15667)

 Question 324808: I am helping a friend with his summer math packet and canno figure out one. Some family members are going to the movies. there are two adults and three kids under 12. The total cost of the tickets is \$24. A. write an equation for the total cost of the tickets B. find two solutions to the equation C. what ticket price does each solution represent? Click here to see answer by Fombitz(13828)

 Question 324818: Find an equation of the form y-k = a(x-h)[squared] for the parabola that has vertex (1, -5) and contains (-4, 3). Click here to see answer by stanbon(57424)

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