# 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 201268: Chapter 11: Exercise 11.2 (ANOVA) 11.2 One particular morning, the length of time spent in the examination rooms is recorded for each patient seen by each physician at an orthopedic clinic. Does the data prove a significant difference in mean times? Physicians Scrap Rate (Per Thousand Units) FIGURE 11.12 MINITAB’s one-factor ANOVA Physician 1 Physician 2 Physician 3 Physician 4 34 33 17 28 25 35 30 33 27 31 30 31 31 31 26 27 26 42 32 32 34 33 28 33 21 26 40 29 12.60 Below are revenue and profit (both in \$ billions) for nine large entertainment companies. (a) Make a scatter plot of profit as a function of revenue. (b) Use Excel to fit the regression, with fitted equation and R2. (c) In your own words, describe the fit. (Data are from Fortune 149, no. 7 [April 5, 2005], p. F-50.) Entertainment Revenue and Profit of Nine Entertainment Companies Company Revenue Profit AMC Entertainment 1.792 −0.020 Clear Channel Communication 8.931 1.146 Liberty Media 2.446 −0.978 Metro-Goldwyn-Mayer 1.883 −0.162 Regal Entertainment Group 2.490 0.185 Time Warner 43.877 2.639 Univision Communications 1.311 0.155 Viacom 26.585 1.417 Walt Disney 27.061 1.267 Chapter 15: Exercise 15.6 (Chi-Square) 15.6 Advertisers need to know which age groups are likely to see their ads. Purchasers of 120 copies of Cosmopolitan are shown by age group. (a) Make a bar chart and describe it. (b) Calculate expected frequencies for each class. (c) Perform the chi-square test for a uniform distribution. At α = .01, does this sample contradict the assumption that readership is uniformly distributed among these six age groups? (See J. Paul Peter and Jerry C. Olson, Consumer Behavior and Marketing Strategy, 9th ed. [McGraw-Hill, 2004], p. 300.) Cosmo Purchaser Age Units Sold 18–24 38 25–34 28 35–44 19 45–54 16 55–64 10 65+ 9 Total 120 Click here to see answer by stanbon(57214)

 Question 201451: a farmhouse has 15 animals. Some are goats and some are ducks. altogether there are 48 legs. how many of each animal are there? Click here to see answer by checkley77(12569)

 Question 201450: lisa spent \$44 on shirts.tee shirts cost \$10 and long sleeves shirts cost \$4. if she bougt a total of 8 then how many of each kind did she buy? Click here to see answer by checkley77(12569)

 Question 201473: A bee leaves S at noon and flies at 4mph on a straight line towards T. One half hour after the bee leaves S, a hornet leaves Sheading towards T along the same straight line, flying at 5.5mph. At what time will the hornet catch the bee? Click here to see answer by Edwin McCravy(8879)
 Question 201473: A bee leaves S at noon and flies at 4mph on a straight line towards T. One half hour after the bee leaves S, a hornet leaves Sheading towards T along the same straight line, flying at 5.5mph. At what time will the hornet catch the bee? Click here to see answer by rfer(12644)

 Question 201477: A cellular phone company offers a contract for which the cost C, in dollars, of t minutes of telephoning is given by C=0.25(t-65.95), where it is assumed that t>=300 minutes. What times will keep cost between \$108.95 and \$131.45? For the cost to be between \$108.95 and \$131.45, the telephoning time must be between ___ minutes and ___ minutes. Click here to see answer by Theo(3458)

 Question 201703: sanjay is now 1/2 as old as his brother. In 6 more years he will be 3/5 as old as his brother. Find the present age of each boy. Click here to see answer by RAY100(1637)

 Question 201750: The perimeter of a retectangular playground area is 308 feet. If the lenth of the playground is 34 more feet than twice the width, find the length and width of the playground. to ear extra credut, you MUST construct an algebraic equation with a variable and solve using algebra steps. My solution P=308 ft L= 2(w+34) 308= 2(60)+ 2L 308=2(60)+2(94) equaiton: P=2W + 2L 308=120 +2L 308=2w +2w +68 308-120=120-120+2L 308=4w +68 188=2L 308-68=4w +68 -68 188/2=2L/2 240=4w 94=L 240/4=4w/4 60=w Click here to see answer by jim_thompson5910(28476)
 Question 201750: The perimeter of a retectangular playground area is 308 feet. If the lenth of the playground is 34 more feet than twice the width, find the length and width of the playground. to ear extra credut, you MUST construct an algebraic equation with a variable and solve using algebra steps. My solution P=308 ft L= 2(w+34) 308= 2(60)+ 2L 308=2(60)+2(94) equaiton: P=2W + 2L 308=120 +2L 308=2w +2w +68 308-120=120-120+2L 308=4w +68 188=2L 308-68=4w +68 -68 188/2=2L/2 240=4w 94=L 240/4=4w/4 60=w Click here to see answer by RAY100(1637)
 Question 201750: The perimeter of a retectangular playground area is 308 feet. If the lenth of the playground is 34 more feet than twice the width, find the length and width of the playground. to ear extra credut, you MUST construct an algebraic equation with a variable and solve using algebra steps. My solution P=308 ft L= 2(w+34) 308= 2(60)+ 2L 308=2(60)+2(94) equaiton: P=2W + 2L 308=120 +2L 308=2w +2w +68 308-120=120-120+2L 308=4w +68 188=2L 308-68=4w +68 -68 188/2=2L/2 240=4w 94=L 240/4=4w/4 60=w Click here to see answer by solver91311(16868)

 Question 201761: the scale on a set of plans states that 1/8 inch equals 1 foot. if a water line measures 5 1/2 inches on the plans, what would its actual length be? Click here to see answer by stanbon(57214)

 Question 201755: Joseph mixes a certain amount of 10% isopropyl misture with 60 gallons of a 20% isopropyl solution, and the resulting mistiure is 16% isoprppyl. how much of the 10% isoproply did he add? To earn credit, you MUST construct an algebraic equation with a variable and solve using algebra steps Click here to see answer by stanbon(57214)

 Question 201779: On Monday, Roger drove to work in 2 hours. On Tuesday, he averaged 15 miles per hour more, and it took him 30 minutes less to get to work. How far (in miles) does he travel to work? Click here to see answer by jsmallt9(3296)

 Question 201797: Jeb has 25 coins.They are all quarters and nickels. He has a total of \$2.85. How many quarters and nickels does he have? construct an algebraic equation, solve the variable, and answer the question. You must solve the problem using algebra Click here to see answer by Alan3354(30952)

 Question 201756: Christina purchased a new car and paid \$12880 after a price reduction of 8% was applied to the original prive. What was the original price of the vehicle before the discount was applied? To earn credit, you MUSt contruct an algeraic equation with a variable and solve using algebra steps Click here to see answer by Alan3354(30952)

 Question 201840: Anthony invested a certain amount of money into a savings account, and invested 3 times that amount into a mutual fund. Of after one year the savings account earned 5% interest and the mutual fund earned 11% interest, and the total interest earned from the two investments was \$152, how much did Anthony initially invest in each? To earn credit, You must contruct an algebrais equation with a variable and solve using algebra steps. Click here to see answer by rfer(12644)

 Question 201829: Solve usingthe 5 step method 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 orginal number is 11. What is the original number? Click here to see answer by ankor@dixie-net.com(15622)

 Question 201762: the building code states that a particular building must have a minimum of 1250 square feet of yard, and that no dimension can be less than 20 feet. would a yard be approved if it measured 32 ft by 38 ft? what about a 19 ft by 70 ft yard? A 42 ft by 35 ft yard? Click here to see answer by rfer(12644)

 Question 201904: Please help me with this problem. Thank you!!!! Problem: Retail Sales of Sweatshirts. Sandy's Sweatshirt Shop sells college sweatshirts. White sell for \$18.95 each and red ones sell for \$19.50 each. If receipts for the sale of 30 sweatshirts total \$572.90, how many of each color did the shop sell? Thank you! Click here to see answer by PRMath(123)

 Question 201935: Make a conjecture about the relationship between the original number and the final number in the following process. Pick a number Multiply the number by 5 Add 10 to the product Divide the sum by 5 Subtract 1 from the quotient Click here to see answer by Earlsdon(6287)

 Question 201899: The St. Mark’s Community Barbecue served 250 dinners. A child’s plate cost \$3.50 and an adult’s plate cost \$7.00. A total of \$1347.50 was collected. How many of each type of plate was served? Click here to see answer by PRMath(123)

 Question 201754: Anthony invested a certain amount of money into a savings accoun, and invested 3times that amount into a mutual fund. of after one year the savings account earned 5% interest and the mutual fund earned 11% interest, and the total interest earned from the teo investments was \$152, how much did Anthony initially invest in each? To earn credit, you MUST construct an algebraic euqation with a variable and solve using algebra steps Click here to see answer by rfer(12644)

 Question 201879: 1. A disc jockey must play 16 commercial sports during 1 hour of a radio show. Each commercial is either 30 seconds or 60 seconds long. If the total commercial time during 1 hour is 13 min, how many 30-second commercial were played that hour? How many 60-second commercials? 2.The Everton College store paid \$1834 for an order of 50 calculators. The store paid \$ 10 each scientific calculator. The others, all graphing calculators, cost the store \$56 each. How many of each type of calculator was ordered? 3.Snookers Lumber can convert logs into either lumber or plywood. In a given day, the mill turns out three times as many units of plywood as lumber. it makes a profit of \$30 on a unit of lumber and \$45 on a unit of plywood. How many of each unit must produced and sold in the order to make a profit of \$16830? I have a hard time to Solving Word problems. please help me with step by step. I really appreciate !!!! Click here to see answer by scott8148(6628)

 Question 201973: The St. Mark’s Community Barbecue served 250 dinners. A child’s plate cost \$3.50 and an adult’s plate cost \$7.00. A total of \$1347.50 was collected. How many of each type of plate was served? Thank you!!! Click here to see answer by PRMath(123)

 Question 202048: 1)A small plane took 3 hours to fly 960 km from Ottawa to Halifax with a tail wind. On the return trip, flying into the wind, the plane took 4 hours. Find the wind speed and the speed of the plane in still air. 2)Maria drove from Owen Sound to Ottawa, a distance of 550km. The trip took 7h. Maria drove at 70km/h for part of the trip and at 85km/h for the remainder of the trip. How far did she drive at 70km/h? 3)The Mackenzie, the longest river in Canada, is 1056 km longer than the Yukon, the second longest river. The total length of the two rivers is 7426km. Find the length of each river. 4) Zach invested in a term deposit that paid 4% interest per year and in a municipal bond that paid 6% interest per year. If he invested a total of \$13000 and earned \$700 interest in a year, how much did he invest at each rate? Click here to see answer by Alan3354(30952)

 Question 202047: 1) The music teacher at your school buys and sells fresh fruit to help raise funds to support the school concert band. One day the total order for bags of oranges and bags of apples cost \$33.00 exactly. If 15 bags of fruit were purchased, how many bags contained oranges? BY THE BAG ORANGES \$5.00 APPLES \$2.00 2)The Outdoors Club held a car wash to raise money. They washed cars for \$5 each and vans for \$7 each. They washed 45 vehicles and made \$243. How many of each type of vehicle did they wash? 3)One type of granola is 30% fruit, and another type is 15% fruit. What mass of each type of granola should be mixed to make 600g of granola that is 21% fruit? 4). One lawn fertilizer is 24% nitrogen and another is 12% nitrogen. How much of each fertilizer should be mixed to obtain 100kg of fertilizer that is 21% nitrogen? plzzzz help! thanks! Click here to see answer by jim_thompson5910(28476)

 Question 202212: If you buy 5 pitas and 3 salads you get .10 change back from \$20. If you buy 8 pitas and 2 salads, it will cost you \$26.10. How much change would you get from \$20.00 if you bought 3 pitas and 5 salads? (show all steps) Remember to us "let" statement to begin. Click here to see answer by rfer(12644)

 Question 202242: Pleaseee Help me with the following question, I will be grately thankful. A bicycle has two sets of gears, one at the pedals and one at the rear wheel. A typical 10-speed bicycle has two gears on the chain wheel and five gears on the rear wheel. The speed at which a bicycle travels depends on three independent factors: - The first is the speed at which the cyclist pedals to turn the front gear (measured in rotations per minute). - The second is the gear ratio from the front gear to the rear wheel (a ratio between the number of teeth on the rear gear). - The third is the size of the rear wheel (measured as the diameter of the wheel). a)Develop a formula that predicts the velocity in km/h for a bicyclist.(2 marks) b)How fast will a cyclist travel (in km/h) who is pedalling at 50 rpm with a 42-toothed gear on the front, a 14-toothed gear on the back, and a tire with a diameter of 26 inches?(2 marks) c)In what ways can a cyclist pedal more slowly but maintain the same speed?(1 mark) Click here to see answer by Theo(3458)

 Question 202288: HI, i cannot seem to find my mistakes in these three questions....can u plzz kindly solve these so i can see where i went wrong? 1) Is the ordered pair (- 2, - 5) a solution to the system of equations defined by 3x - 4y = 14 and 5x + 3y = - 25? 2)Create a linear system of two equations that has no solution. 3)Part of a \$5000 prize was invested at 6%, while the remainder was invested at 8%. If the total interest received was \$368, how much was invested at each rate? Click here to see answer by stanbon(57214)
 Question 202288: HI, i cannot seem to find my mistakes in these three questions....can u plzz kindly solve these so i can see where i went wrong? 1) Is the ordered pair (- 2, - 5) a solution to the system of equations defined by 3x - 4y = 14 and 5x + 3y = - 25? 2)Create a linear system of two equations that has no solution. 3)Part of a \$5000 prize was invested at 6%, while the remainder was invested at 8%. If the total interest received was \$368, how much was invested at each rate? Click here to see answer by Earlsdon(6287)

 Question 202270: 1. Kwenze and Michael both work at an athletic footwear store. Every month Kwenze is paid a salary of \$350.00 plus a 1.5% commission on all his sales. Michael is paid only on commission at a rate of 5.0%, but is thinking of asking his employer for the same salary plan as Kwenze. Calculate Kwenze’s monthly salary for a month in which he has sales totalling \$12 500. Then calculate Michael’s salary for a month in which he has total sales of \$32 000. 2. Let x represent total monthly sales and y the monthly salary. Write the equation for the relation between Kwenze’s total monthly sales and his monthly salary. Then write the corresponding relation for Michael. 3. Graph the two relations. Find the point of intersection (where sales are the same). Using your graph, give Michael your best advice. Explain your reasoning. Click here to see answer by rfer(12644)

 Question 202439: I need to step by step to understand this please? In order to achieve maximum results from aerobic exercise, one should maintain one’s heart rate at a certain level, A 45-yr-old woman with a resting heart rate of 85 beats per minute should keep her heart rate between 139 and beats and 157 beats per minute while exercising. She checks her pulse for 10 sec while exercising. What should the number of the beats be? The number of the beats in 10 sec should be between? and ? beats. (Type the smaller number in the first answer box and the larger number in the second answer box. Round to the nearest whole number.) Thank you very much! Click here to see answer by stanbon(57214)

 Question 202437: Help with this word problem please! Bayside Insurance offers two health plan A, Giselle would have to pay the first \$100 of her medical bills, plus 25% of the rest. Under plan B, Giselle would pa the first \$110, but only 20% of the rest. For what amount of medical bills will plan B save Giselle money? Assume she has over \$110 in bills. Giselle would save with plan B if she had more than \$? in bills. (Round to the nearest whole number) Thank you!!! Click here to see answer by stanbon(57214)

 Question 202633: There are 6 adults and 3 children present at the Mann family's reunioun dinner. Each adult has a dinner plate and a salad plate. Each child only has a dinner plate. a. write an expression to describe the total number of plates at the table. b. simplify the expression and state the total number of plates at the table. Click here to see answer by rfer(12644)

 Question 202710: Suppose you have a lemonade stand, and when you charge \$2 per cup of lemonade you sell 120 cups. But when you raise your price to \$3 you only sell 60 cups. a. Write an equation for the number of cups you sell as a function of the price you charge. b. Denote "C" for number of cups, and "P" for the price you charge. c. Assume the function is linear. Click here to see answer by Earlsdon(6287)

 Question 202718: Jim is an avid fisherman. He varies the depth at which he fishes according to the following: D(t)=-t^2+10t where t is measured in hours. Estimate the time when he fishes at the greatest depth and tell me that depth. Click here to see answer by jsmallt9(3296)

 Question 202722: Please help me solve this problem. Thank you!!!! The body mass index, I can be used to determine an individual’s risk for heart disease. An index less than 25 indicates a low risk. The body mass index is given by the formula, or model, I=700W/H2(small 2), where W= weight, in pounds, and H= height, in inches, in inches. Francis weights 198 pounds and stands 76 inches tall. What is his approximate body mass index? Find an inequality describing all weights W that Francis can have and be in the low-risk category. Francis’s approximate body mass index is ? (Round to the nearest whole number.) {W/W < (approximate) ? lb} (Round to the nearest whole number.) Click here to see answer by vleith(2825)

 Question 202719: Bayside Insurance offers two healths plan A, Giselle would have to pay the first \$70 of her medical bills, plus 35% of the rest. Under plan B, Giselle would pa the first \$240, but only 30% of the rest. For what amount of medical bills will plan B save Giselle money? Assume she has over \$240 in bills. Giselle would save with plan B if she had more than \$? in bills. (Round to the nearest whole number) Suppose Giselle has \$5000 medical bills. Plan A would cost \$ 70 + 0.35% (\$5000-\$70)=(\$4930.00) Plan B would cost \$ 240 + 0.30 (\$5000-\$240)=(\$1668.00) 240+0.30(x-240)<70+0.35(x-70) 240+0.30x-72.00<70+0.35x-24.50 168.00+0.30x<45.50+0.35x ---------------------------------------------------------------------------- 168.00+0.30x-0.30x<45.50+0.35x-0.30x 168.00<45.70+0.05x 122.30<0.05x 2446< x ---------------------------------------------------------------------------- Can anyone tell me if I got this one right? Thank you so much!!!! Click here to see answer by rfer(12644)
 Question 202719: Bayside Insurance offers two healths plan A, Giselle would have to pay the first \$70 of her medical bills, plus 35% of the rest. Under plan B, Giselle would pa the first \$240, but only 30% of the rest. For what amount of medical bills will plan B save Giselle money? Assume she has over \$240 in bills. Giselle would save with plan B if she had more than \$? in bills. (Round to the nearest whole number) Suppose Giselle has \$5000 medical bills. Plan A would cost \$ 70 + 0.35% (\$5000-\$70)=(\$4930.00) Plan B would cost \$ 240 + 0.30 (\$5000-\$240)=(\$1668.00) 240+0.30(x-240)<70+0.35(x-70) 240+0.30x-72.00<70+0.35x-24.50 168.00+0.30x<45.50+0.35x ---------------------------------------------------------------------------- 168.00+0.30x-0.30x<45.50+0.35x-0.30x 168.00<45.70+0.05x 122.30<0.05x 2446< x ---------------------------------------------------------------------------- Can anyone tell me if I got this one right? Thank you so much!!!! Click here to see answer by jim_thompson5910(28476)

 Question 201827: Yesterday, Consuela bought some fudge and caramels for \$6.00. She bought 4 pieces of fudge at 50 cents a piece and some caramels to her friend Carrie. Now she has 4 pieces of fudge and 10 caramels. If Consuela did not eat any candy yet, how many caramels did Carrie receive? Click here to see answer by jsmallt9(3296)

 Question 202842: Decreasing cube. Each of the three dimensions of a cube with sides of length s centimeters is decreased by a whole number of centimeters. The new volume in cubic centimeters is given by V(s) = s3 - 13s2 + 54s - 72. a) Find V(10). b) If the new width is s - 6 centimeters, then what are the new length and height? c) Find the volume when s = 10 by multiplying the length, width, and height. Click here to see answer by RAY100(1637)

 Question 51376: Petrolyn oil is a combination of natural oil and synthetic oil-- 4 parts natural oil for every parts 7 of synthetic oil. How many liters of Petrolyn oil can be made from 968 liters of synthetic oil? Click here to see answer by bigbb(1)

 Question 202915: the shoe store has twice as many black shoes as it does brown shoes. the total number of shoes is 66. how many brown shoes are there. Click here to see answer by Earlsdon(6287)

 Question 203002: I know how to do the problem I just cant figure out how to set the problem up(translate). Thank you. 21.How many gallons of a 12% solution must be mixed with a 20% solution to get 10 gallons of a 14% solution. 32.A movie theater has two ticket prices: \$8 for adults and \$5 for children. If the box office took in \$4116 from sales of 600 tickets, how many tickets of each kind were sold? Click here to see answer by rfer(12644)

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