# 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 452157: bayside insurance offers two health plans. under plan a, giselle would have to pay the first \$120 of her medical bills, plus 30% of the rest. under the plan b, giselle would pay the first \$160 , but only 20% of the rest. for what amount of medical bills will plan b save giselle money? assume she has over \$160 in bills giselle would save with plan b if she had more than \$ in bills. Click here to see answer by mananth(12270)

 Question 452281: four-fifth of a no. is more than three-fourth of the no. by 4. find the no. Click here to see answer by stanbon(57424)

 Question 452262: I hope this is a linear equation and that someone can help me convert it from words to and equation and graph. I need to illustrate the decline in the herring population over the years and estimate what will happen if the trend continues. I've spent all day researching the information and now I have no idea how to put it together, or even if it belongs together :0 Every year the herring returning to the Stonybrook Run to spawn is declining as overfishing, water pollution, and loss of habit takes a toll on their numbers. In 2000, you could count 100 herring go through the run in 1 minute, but by 2005, it took 5 minutes to count the same number. The count in 2010 took 10 minutes to count the 100 fish. If the trend continues how long will it take count 100 herring in 2015? Click here to see answer by nerdybill(6963)

 Question 452451: one number exceeds another by 24.The sum of the numbers is 58.What are the numbers? Click here to see answer by stanbon(57424)

 Question 452750: Susan wants to mix 10 pounds of Virginia peanuts that cost \$3.50 a pound with Spanish peanuts that cost \$3.00 a pound to obtain a mixture that costs \$3.40 a pound. How many pounds of Spanish peanuts should she use? I have given this problem some thought but I do not know how you would solve. Thanks Click here to see answer by ilana(307)

 Question 453217: Please help me on this Algebra 2 problem: John can build a deck in 4 days. Tim can build a deck in 7 days. How long will it take them if they work together? I'm not sure how to do this.. Ratio or something? Divide 7/4 to get 1.75? Click here to see answer by Alan3354(30993)

 Question 453412: Graph the following equations; calculate the slope, x-intercept, and y-intercept, and label the intercepts on the graph. 3x = -2 Click here to see answer by rwm(914)

 Question 453411: Graph the following equations; calculate the slope, x-intercept, and y-intercept, and label the intercepts on the graph. 7.1x - 3.9y = 1.4 Click here to see answer by mananth(12270)

 Question 453486: Betty makes a profit of \$35 for each oatmeal cookie and \$18 for each chocolate chip cookie. Last week, Betty sold a combined total of 147 cookies. Suppose that x oatmeal cookies were sold. Write an expression for the total combined profit (in dollars) Betty made from cookies last week. Click here to see answer by rwm(914)

 Question 453610: Alex and Jim have equal amounts of money. Alex spends \$5 a day and Jim spends \$3 a day. When Alex has \$8 left, Jim has 4 times as much. How much money do they start with? Click here to see answer by josmiceli(9698)

 Question 453992: Scenario #3: Your company must use a transportation service to shuttle their corporate partners from the airport for a quarterly meeting. Green Transportation Service charges \$12 initially plus \$3.50 per mile for every mile traveled. Thomas Transportation Service charges \$10 initially plus \$4.50 per mile for every mile traveled. h) Write an equation in two variables (x & y) that illustrates the costs for using the GreenTransportation Service. i) Write an equation in two variables (x & y) that illustrates the costs for using Thomas Transportation Service. j) If the trip is 4 miles, how much does each one charge? If the trip is 10 miles, how much does each one charge? Show your work. k) At one mileage both services will be charging the same rate. Find that mileage and explain what is happening “graphically” where the services are charging that same rate? Click here to see answer by htmentor(789)

 Question 454036: Tracy needs to find the length of the equipment storage room where she works. The room is one meter longer than it is wide. Its perimeter is 14 meters. Click here to see answer by Alan3354(30993)

 Question 454082: on a jury there are 3 fewer men than twice the number of women. if there were 2 more women on the jury, the number of men and women would be equal. how many men are on the jury? solve by using a system of two equations in two variables. Click here to see answer by stanbon(57424)

 Question 454132: A driver makes a 124 mile trip from Phoenix to Tucson with the cruise control set at either 55 mph or 75 mph the whole way. If the trip took 2 hours, how long did the driver travel at 55 mph? Click here to see answer by ankor@dixie-net.com(15667)

 Question 454241: graph the equation y = 2. I am really bad at this so I will please need specific detailed information. Click here to see answer by richwmiller(9143)

 Question 454689: Two numbers are in the ratio 2 : 3. If 2 is subtracted from the first and 2 is added to the second, the ratio becomes 1 : 2. The sum of the numbers is: Click here to see answer by stanbon(57424)

 Question 454747: donesha has 100\$ in five,ten, and twenty dollar bills. Donesha has twice as many five dollar bills as ten dollar bills, and she has one twenty more than she has tens. how many of each denomination does Donesha have? Click here to see answer by richwmiller(9143)

 Question 454743: jen chris and terry go to the movies jen pays \$9 for a large drink and large popcorn. chris and terry decide to share a large popcorn but they each get a large drink chris and terry pay a total of \$13. what is the cost of one large popcorn? Click here to see answer by richwmiller(9143)

 Question 454745: how many liters of the 5% saline solution and 25% saline solution must be mixed together go get 10 liters of 18% saline solution? Click here to see answer by richwmiller(9143)

 Question 454744: how much water and 70% isopropyl alcohol solution must be mixed together to get 14 liters of 45% isopropyl alcohol solution? Click here to see answer by richwmiller(9143)

 Question 454761: Melissa sold 15 boxes of raisins and made a profit of \$5, the next week she sold 25 boxes of raisins and made a \$10 profit. Write an expression that relates her profits to the number of boxes of raisins sold. Click here to see answer by richwmiller(9143)

 Question 454819: A jet takes the same time to travel 2500 km with the wind as it does to travel 1900 km against the wind. If its speed relative to the air is 450 km/hr, what is the speed of the wind? Click here to see answer by chrissi227(1)

 Question 454837: I need help with this problem, too. I keep getting \$9,700 for 4 years as the answer but I don't think this is correct. You can afford monthly deposits of \$190 into an account that pays 3.3% compounded monthly. How long will it be until you have \$9,300 to buy a boat? Click here to see answer by richwmiller(9143)

 Question 454817: An airplane begins a flight with a total of 36.0 gal. of fuel stored in two separate wing tanks. During the flight, 25.0% of the fuel in one tank is used, and in the other tank, 37.5% of the fuel is used. If the total fuel used is 11.2 gal., find the amounts x and y stored in each tank. Click here to see answer by richwmiller(9143)

 Question 454605: My question is: If i divide \$38.00 into nickels and dimes, how many nickels and dimes will i have of each? Thank you. jpm. Click here to see answer by ankor@dixie-net.com(15667)

 Question 455279: the weight W of an object on the moon varies directly as its weight E on earth. a person who weights 133 lbs on earth weighs 26.6 lb on the moon. how much would a 136 lb person weigh on the moon? Click here to see answer by rfer(12678)

 Question 455337: a merchant has coffe with \$8 a pound that she wishes to mix with 5 pounds of coffee worth \$9 a pound to get a mixture that can be sold for \$6 a pound. How many pounds of the \$8 coffee should be used? Click here to see answer by stanbon(57424)

 Question 455339: Bob fenced in a rectangular garden in his yard. The length of the rectangle is 6 feet longer than the width, and the perimeter is 100 feet. What is the width of the rectangle? Click here to see answer by rfer(12678)

 Question 455442: OBJECTIVE: This exercise aims to develop ones comprehension of worded problems and in the end, develops the skill in formulating equations based on given information. Click here to see answer by richwmiller(9143)

 Question 455437: OBJECTIVE: This exercise aims to develop ones comprehension of worded problems and in the end, develops the skill in formulating equations based on given information. Click here to see answer by richwmiller(9143)

 Question 455615: One cell phone plan costs \$49.95 per month. The first 2500 minutes of use are free. Each minute thereafter costs \$0.25. For a bill of \$112.45, how many minutes over 2500 was the cell phone in use? Click here to see answer by richwmiller(9143)

 Question 456066: A pet store is selling hamsters for \$3.50 each if you purchase a cage for \$18.25 you have at most \$30 you can spend. how many hamsters can you buy? Click here to see answer by richwmiller(9143)

 Question 456310: A car rental company charges x dollars to rent a car, plus y dollars per kilometre. Find x and y if the rental charge is \$90 for 100km, and \$110 for 150km. Thank you. Click here to see answer by richwmiller(9143)

 Question 456236: The sum of the digits of a 3-digit number 15. If the tens and the units are interchanged, the original number will be 9 more than the new number. If the units and the hundreds digits are interchanged, the new number will be 99 more than the original number. What is the original number? Click here to see answer by ptaylor(2048)

 Question 456993: I am currently 5 times as my son in 6 years i will be three times as old as he will be then. what are our ages now? Click here to see answer by lwsshak3(6527)

 Question 456992: five years ago a man was seven times as old as his son. five years hence, the father will be three times as old as his son. find their present ages. Click here to see answer by lwsshak3(6527)

 Question 457018: the cost of a notebook is twice the cost of a pen. write a linear equation in two variables to represent this statement Click here to see answer by richwmiller(9143)

 Question 457008: the difference between the squares of two consecutive numbers is 31. find the numbers. Click here to see answer by richwmiller(9143)

 Question 457016: I am currently 5 times as old as my son. in 6 years time I will be three times as old as he will be then.what are our ages now? Click here to see answer by richwmiller(9143)

 Question 407832: If the global climate were to warm significantly as a result of the greenhouse effect or other climatic change, the Arctic ice cap would start to melt. This ice cap contains the equivalent of some 680,000 cubic miles of water. More than 200 million people live on land that is less than 3 feet above sea level. In the United States several large cities have low average elevations. Three examples are Boston (14 feet), New Orleans (4 feet), and San Diego (13 feet). In this exercise you are to estimate the rise in sea level if the Arctic ice cap were to melt and to determine whether this event would have a significant impact on people living in coastal areas. (a) The surface area of a sphere is given by the formula where r is its radius. Although the shape of Earth is not exactly spherical, it has an average radius of 3960 miles. Estimate the surface area of Earth. (b) Oceans cover approximately 71% of the total surface area of Earth. How many square miles of Earth’s surface are covered by oceans? (c) Approximate the potential rise in sea level by dividing the total volume of the water from the ice cap by the surface area of the oceans. Convert your answer from miles to feet. (d) Discuss the implications of your calculation. How would cities such as Boston, New Orleans, and San Diego be affected? (e) The Antarctic ice cap contains some 6,300,000 cubic miles of water. Estimate how much the sea level would rise if this ice cap melted. Click here to see answer by soteriag777(1)

 Question 457010: find a number such that when 5 is subtracted from 5 times the number, the result is 4 more than twice the number. Click here to see answer by ankor@dixie-net.com(15667)

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