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 105670: A coffee wholesaler blends together three types of coffee that sell for \$2.20, \$2.30, and \$2.60 per pound, so as to obtain 100 lb of coffee worth \$2.40 per pound. If the wholesaler uses the same amount of the two higher priced coffees, how much of each type must be used in the blend? Click here to see answer by fmo(8)

 Question 105776: If the inventor charges \$4 per unit then her profit for producing and selling x units is given by the function. p(x)= 2.2 5x-700 A. what is her profit if she sells 2000 units? b. what is her profit is she sells 5000 units? c. what is the break-even point for sales? Click here to see answer by checkley75(3666)

 Question 105933: A piggybank has a total of 30 coins made up of nickels and dimes. The total value of the piggybank's contents is \$2.40. Let x represent the number of nickels. Click here to see answer by scott8148(6628)

 Question 105884: A professor started a project with a group of students, 60 % of whom were boys. Due to some unavoidable reasons, six girls couldn't turn up, so the professor had to make some changes in the group. He admitted six boys. In doing so, the percentage of boys in the project increased to 75%. Find the number of boys and girls involved in the project initially. Click here to see answer by ankor@dixie-net.com(15624)

 Question 105985: If the length of a rectangle is increased by 12 and the width is decreased by 8,the area is unchanged.The area is also unchanged if the original legth is increased by 5 and the original width is decreased by 4 .Find the original dimensions of the rectangle. Click here to see answer by alvinjohnburgos(11)

 Question 105982: The sum of the length and the width of a rectangular region is equal to 205 feet, whereas the corresponding positive difference is 35 feet. Find the area of the enclosed rectangular region. ( Use 2-variable approaches) Click here to see answer by alvinjohnburgos(11)

 Question 106053: If 12 is subtracted from three times a number and the difference is multiplied by 2, the result is -42. Find the number. Click here to see answer by Earlsdon(6287)
 Question 106053: If 12 is subtracted from three times a number and the difference is multiplied by 2, the result is -42. Find the number. Click here to see answer by MathLover1(6614)

 Question 105881: A professor started a project with a group of students, 60% of whom were boys. Due to some unavoidable reasons, six girls couldn't turn up, so the professor had to make some changes in the group. He admitted six boys. In doing so, the percentage of boys in the project increased to 75%. Find the number of boys and girls involved in the project initially. Click here to see answer by Fombitz(13828)

 Question 106094: Having trouble please help. I have to setup a system of equations (3 variables) needed to solve the problem below. Define each variable. Solve using the method of elimination. Just need help for the equations and i can solve from ther. thank you a person takes three daily vitamins supplement,B,C and E, via three types of pills, regular, extra-strenght, and fortified. Each regular pills contains 10 units of B, 20 units of C, and 20 units of E. Each ectra-strenght pill contains 20 units of B, 60 units of C, and 10 units of B. Each fortified pill contains 10 units of B, 20 units of C, and 40 units of E. How many pills of each type should be in order to achieve 50units of B, 120 units of C, and 90 units of E? Click here to see answer by Fombitz(13828)
 Question 106094: Having trouble please help. I have to setup a system of equations (3 variables) needed to solve the problem below. Define each variable. Solve using the method of elimination. Just need help for the equations and i can solve from ther. thank you a person takes three daily vitamins supplement,B,C and E, via three types of pills, regular, extra-strenght, and fortified. Each regular pills contains 10 units of B, 20 units of C, and 20 units of E. Each ectra-strenght pill contains 20 units of B, 60 units of C, and 10 units of B. Each fortified pill contains 10 units of B, 20 units of C, and 40 units of E. How many pills of each type should be in order to achieve 50units of B, 120 units of C, and 90 units of E? Click here to see answer by stanbon(57219)

 Question 106108: Find the largest of two consecutive even integers such that three times the larger added to the smaller is 54. Click here to see answer by Fombitz(13828)

 Question 106474: the total monthly cost C(q) of a retail operation is linearly related to the quanitity q, by the following equation: C(q) = 0.52 q + 30,000. They can sell each unit for 0.80cents a) what are the two parameters of the cost equation b) what is the profit equation P(q)? c) How many units must be sold to make a profit of \$250,000? Click here to see answer by stanbon(57219)

 Question 106578: Janet invested \$31,000, part at 10% and part at 1%. If the total interest at the end of the year is \$1,390, how much did she invest at 10%? Click here to see answer by Earlsdon(6287)

 Question 106548: Question1 a) the length of rectangle is 1 cm less than 3 times the width, if the perimeter is 54 cm, find the dimentions of a rectangle. b) 400 tickets were sold for a school play, General admission tickets were \$4 while student tickets were \$3, if the total tickets sales were \$1350, how many of each type of ticket were sold? c) How much pure alcohol must be added to 9 quarts of water to obtain a mixture of 40% alcohol? d) On Friday morning, Ali drove from his house to the beach in 4hrs, in coming back on Sunday afternoon, heavy traffics slowed his speed by 10mi/hrs, and the trip took 5 hrs, what was his average speed in each direction? Thank you in advance Click here to see answer by ankor@dixie-net.com(15624)

 Question 106672: One number is 4 less than another. If 10 times the smaller number minus 3 times the larger number is 51, find the two numbers. So is this x(x-4)=51 I am lost Thanks Click here to see answer by rcmcc(152)

 Question 106835: Write a system of two equations in two unknowns. Solve the system by using the ssubstitution method. Bill and Sue earn \$76,433 per year. If Bill earns \$15,000 less than twice Sue's salary, then how much does each person earn per year? Ok I know how to use the substitution method, but how would I set this problem up? Thanks for your help! Click here to see answer by MathLover1(6614)

 Question 107012: The length of a rectangular field is 24 meters. This is 3 meters less than twice the width. Find the width. Click here to see answer by checkley75(3666)

 Question 106994: normal body temperature is 98.6F. Use this formula to find this temperature in celsius: C = 5/9 (F - 32) This is what we did to find the answer: C = 5/9 (98.6 - 32) 9/5 * c = 5/9 * 9/5 (98.6 - 32) 9/5C = 98.6 - 32 9/5C = 66.6 Is this correct? Thank you ever so much for your help! Click here to see answer by scott8148(6628)

 Question 107253: The length of a rectangle is 2in more than twice its width. if the perimeter of the rectangle is 34 in, find the dimensions of the rectangle. Click here to see answer by scott8148(6628)

 Question 107271: 10Three survivors of a plane crash set out across the dessert. Peter dies first, but Alex makes it another 5km's before he to collapses and dies, John makes it exactly twice as far as Peter, finds an oasis and drowns accidentally. If the total distance they travelled (combined) was 109km. How far was the oasis from the plane. Click here to see answer by Annabelle1(69)

 Question 107505: 1. Three times the larger of two numbers is equal to four times the smaller. THe sum of the numbers is 21. Find the numbers. 2. The larger of two numbers is 1 more than twice the smaller. The sum of the numbers is 20 less than three times the larger. Find the numbers. Click here to see answer by solver91311(16868)

 Question 107546: The sum of two numbers is 32 and the difference is 14. Find the two numbers Click here to see answer by stanbon(57219)

 Question 107541: If 10 pens and 15 markers cost \$26, and 5 of the same pens and 10 of the same markers cost \$16, find the cost of a pen. Click here to see answer by solver91311(16868)

 Question 107372: I am working on charts and this particular question is giving me a hard time: The length of a red rectangle is 15cm more than its width w. A blue rectangle, which is 5 cm wider and 2 cm shorter than the red one, has perimeter 72cm. Make a sketch of the rectangles expressing all dimensions in terms of w. Then find the dimensions of each rectangle. Click here to see answer by elima(1433)

 Question 107618: A washer-dryer combination costs \$1200. If the washer costs \$220 more than the dryer, what does each appliance cost seperately? Click here to see answer by scott8148(6628)

 Question 107620: the length of a rectangle is 2 in. morethan twice its width. If the perimeter of the rectangle is 34 in., find the dimensions of the rectangle. Click here to see answer by scott8148(6628)

 Question 107873: 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. 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. This is what I have so far, please help! Linear function: C(P)=Pm+b Price- \$2, cups sold- 120 Price- \$3, cups sold- 60 Take 120 from 60 we get a= -60 Click here to see answer by jim_thompson5910(28476)

 Question 107995: Minimizing Cost, A company uses the formula C(x)=0.02xSquared - 3.4x + 150 t?o model the unit cost in dollars for producing x stabilizer bars. For what number of bars is the unit cost at its mimimum? What is the unit cost at that level of production? Haven't got a clue what this problem is asking of me. Please help? Thank you Click here to see answer by ankor@dixie-net.com(15624)

 Question 108124: Stan invested \$17,000, part at 18% and part at 4%. If the total interest at the end of the year is \$1,380, how much did he invest at each rate? Click here to see answer by Fombitz(13828)

 Question 108214: Find the x-intercept of x - 2y = 9. Click here to see answer by elima(1433)

 Question 108318: Each question on an exam has a value of 4 points. If x represents the score on a 100 point exam, write a linear function that computes the number of questions answered correctly. Click here to see answer by stanbon(57219)

 Question 108211: The cost of bananas varies directly with their weight. Miguel bought 3 1/2 pounds of bananas for \$1.12. Write an equation that relates the cost of the bananas to their weight. Then find the cost of 4 1/4 pounds of bananas. Click here to see answer by checkley71(8403)

 Question 108466: A school dietitian wants to prepare a meal of meat and vegetables that has the lowest possible fat and that meets the FDA recommended daily allowance of iron and protein. The RDA minimums are 20 mg of iron and 45 g of protein. Each 3 oz serving of meat contains 45 g of protein, 10 mg of iron, and 4 g of fat. Each 1 cup serving of vegetables contains 9 g of protein, 6 mg of iron, and 2 g of fat. Click here to see answer by stanbon(57219)

 Question 108312: Corporation Wally Mart allows each of its traveling employees an amount of money per day for a hotel room and food expenses. One employee travels for 4 days and 4 nights and is allotted \$480 while another employee travels for 3 days and 2 nights and is allotted \$270. a) Give the system of equations for solving this situation. b) Find the amount allowed for a hotel room and daily food expenses Click here to see answer by stanbon(57219)

 Question 108481: a stereo manufacture makes 3 types of streos: standard y1, quality y2 and deluxe y3. his profit margin from each is 15, 20 and 24 repectively. the standard model requires 3 hours for wiring and 1 hour for encasing. the quality model requires 1 hour for wiring and 5 hours for encasing. the deluxe model requires 3 hours for wiring and 2 hours for encasing. if 120 hours are available for wiring an 60 hours for encasing , express the output mix that will maximize profits as equations and inequalities Click here to see answer by stanbon(57219)

 Question 109139: Please help me with this word problem: Write a system of two equations in two unknowns for each problem. Solve each system by substitution. Tickets for a concert were sold to adults for \$3 and to students for \$2. If the total receipts were \$824 and twice as many adult tickets as student tickets were sold, then how many of each were sold? Click here to see answer by stanbon(57219)

 Question 109105: The length of a rectangle is four times its width. Its perimeer is 90 m. Find its dimentions. Use P= 2l+2w. Click here to see answer by HyperBrain(694)