# 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 412332: For what values of x would the triangle have a perimeter of at least 72? x x+11 2x+5 I just want to know if I have done this right...Thank you Click here to see answer by richard1234(5390)

 Question 412345: NEED HELP WITH THIS PROBLEM ASAP! THANKS IN ADVACNED!!!! Bridget The mass of the saturn is about 5.688X10 23(the number 23 is supposed to be above the 10) metric tons. The mass of the sun is about 1.998X10 27 (the 27 is supposed to be above the 10) metric tons. About how many times the mass of Saturn is the mass of the sun? Give your answer in scientific notation. Click here to see answer by jjordan95(63)

 Question 412365: Ali is driving on the highway. He begins the trip with 12 gallons of gas in his car. The car uses up one gallon of gas every 20 miles. Let G represent the number of gallons of gas he has left in his tank, and let D represent the total distance (in miles) he has traveled. Write an equation relating G to D , and then graph your equation using the axes below. Click here to see answer by mananth(12270)

 Question 412268: If the three sides of a triangle are x, x+5, and 2x+5. For what values "x" would the triangle have a perimeter of at least 72? Click here to see answer by ewatrrr(10682)

 Question 412437: You have \$160 and save \$7 per week. Your friend has \$210 and saves \$5 per week. After how many weeks will each of you have the same amount of money? Click here to see answer by josmiceli(9661)

 Question 412894: The sum of two numbers is 27. One number is 2 times as large as the other. What are the numbers? Click here to see answer by rfer(12647)

 Question 412990: To buy both a new car and a new house, Tina sought two loans totalling \$318,338.The simple interest rate on the first loan was 2.4%,while the simple interest rate on the second loan was 4.7%. At the end of the first year, Tina paid a combined interest payment of \$14,761.81.What were the amounts of the two loans? Please help me understand this problem.I am lost.I have to show the work and I don't understand. I would greatly appreciate any help. Click here to see answer by rfer(12647)

 Question 413149: A 5-pound bag of apples costs \$3.50. At the same rate, what would be the cost of 7 pounds of apples Click here to see answer by ewatrrr(10682)

 Question 413363: The length of a rectangle is 5 inches less than three times its widths. The perimeter is 86 inches. Find the length and width Click here to see answer by algebrahouse.com(1079)

 Question 413508: If 2 cars are moving towards each other from 6.6 miles away and car A meets car B in one hour and if the cars move in the same direction and car B overtakes car A within 11 hours then how fast is each car going? Click here to see answer by josmiceli(9661)

 Question 413233: michelle has \$6.82 in change. The number of pennies, dimes, nickels and quarters are, in that order, consecutive even integers. How many coins does she have? Click here to see answer by richard1234(5390)

 Question 413798: The Everton College store paid \$1920 for an order of 50 calculators. The store paid \$9 for each scientific calculator. The others, all graphing calculators, cost the store \$58 each. How many of each type of calculator was ordered? The store Ordered__scientific calculators and ___graphing calculators. Click here to see answer by bayners123(12)

 Question 413838: the graphs of the three equations below from a triangle. Find the coordinates of the triangle's vertices 4x+y=1 2x-y=5 3y+3x=12 Click here to see answer by richard1234(5390)

 Question 413960: A 200 seat theater charges \$3.00 for adults and \$1.50 for children. If all seats were filled and the total ticket income was \$510 how many adults and how many childen were in the audience? Click here to see answer by ewatrrr(10682)

 Question 414086: A ceramics workshop makes serving bowls, platters and bread baskets to sell. A serving bowl takes 3 hours to prepare, 2 hours to paint, and 10 hours to fire. A platter takes 16 hours to prepare, 3 hours to paint, and 4 hours to fire. A bread basket takes 4 hours to prepare, 16 hours to paint, 7 hours to fire. If the workshop has 99 hours of prep time, 62 hours for painting, and 120 hours for firing, how many of each can be made? How do I translate this into a system of linear equations? Click here to see answer by josmiceli(9661)

 Question 414076: A bank has two checking plans. Plan A charges .30 per check, Plan B charges 2.40 per month plus .18 per check. What number of checks will plan B cost less? Click here to see answer by ewatrrr(10682)

 Question 414122: Two mechanics worked on a car. The first mechanic charged \$45 per hour, and the second mechanic charged \$85 per hour. The mechanics worked for a combined total of 20 hours, and together they charged a total of \$1100 . How long did each mechanic work? Click here to see answer by josmiceli(9661)

 Question 414165: The number of kg of water (W) in s human body varies directly as the total body weight (B). A person who weighs 50 kg contains 36kg of water. How many kilograms of water are in a person weighing 60 kg? Click here to see answer by stanbon(57247)

 Question 414323: How many liters of a 10% silver iodide solution must be mixed with 7L of a 4% silver iodide solution to get a 6% solution? Click here to see answer by stanbon(57247)

 Question 414326: What is an algebra expression equation for the cost of a party is \$5,115.50 when a childs plate cost \$5.50 and and adult plate cost \$12.00 and the total number of people are 546? Click here to see answer by nerdybill(6951)
 Question 414326: What is an algebra expression equation for the cost of a party is \$5,115.50 when a childs plate cost \$5.50 and and adult plate cost \$12.00 and the total number of people are 546? Click here to see answer by ewatrrr(10682)

 Question 414347: I ordered 24 large plants for a 6th grade class experiment, and 16 calculators totalling \$3,960 the 2nd bill was for 12 large plants and 32 items of scientific equipment instruments and calculators totaling \$5,220. Write an equation showing the first bill using "L" for the cost of the large plants and "C" for the cost of the calculators and equipment. Click here to see answer by stanbon(57247)
 Question 414347: I ordered 24 large plants for a 6th grade class experiment, and 16 calculators totalling \$3,960 the 2nd bill was for 12 large plants and 32 items of scientific equipment instruments and calculators totaling \$5,220. Write an equation showing the first bill using "L" for the cost of the large plants and "C" for the cost of the calculators and equipment. Click here to see answer by Theo(3458)

 Question 414458: A \$3.00 toll is charged to cross the bridge from Sanibel Island to mainland Florida. A six-month pass, costing \$15.00, reduces the toll to \$.50. A one-year pass, costing \$150, allows for free crossings. How many crossings per year does it take, on average, for two six-months passes to be the most economical choice? Assume a constant number of trips per month, Show work and explain answer. I am not sure what formula to use for this problem. Please Help! :/ Click here to see answer by josmiceli(9661)
 Question 414458: A \$3.00 toll is charged to cross the bridge from Sanibel Island to mainland Florida. A six-month pass, costing \$15.00, reduces the toll to \$.50. A one-year pass, costing \$150, allows for free crossings. How many crossings per year does it take, on average, for two six-months passes to be the most economical choice? Assume a constant number of trips per month, Show work and explain answer. I am not sure what formula to use for this problem. Please Help! :/ Click here to see answer by stanbon(57247)

 Question 414350: The sum of two numbers is 80 and the greatest number exceeds twice the smaller by 11. Find the numbers Click here to see answer by rfadrogane(214)

 Question 415054: the difference of three times a number, and 1, is the same as twice a number. Find the number Click here to see answer by mananth(12270)

 Question 415111: I can work no more than 36 hours per week at my two jobs. Housecleaning pays \$6 per hour, and my sales job pays \$12 per hour. I need to earn at least \$302 per week to cover my expenses. I need to write a system of inequalities that shows the various numbers of hours I can work at each job. Click here to see answer by Theo(3458)

 Question 415355: a stright line passes through (1,2) and (-3,8). find the point on it that has an x-coordinate of 5 Click here to see answer by rfer(12647)

 Question 415407: what is the perimeter of a rectangle if the field 246 and the length is 2 times longer than it is wide Click here to see answer by praseenakos@yahoo.com(507)

 Question 415886: a shop sells bicycles and tricycles. there are a total of 20 cycles and there are 50 wheels. how many bicycles are there? Click here to see answer by rfer(12647)

 Question 415919: what is one number exceeds another by 38 and the sum is 60? Click here to see answer by praseenakos@yahoo.com(507)

 Question 416036: In one city, taxi company A charges \$5 plus \$.35/km travelled. Taxi company B charges \$3.50 plus \$.50/km. a) For what distance is the charge the same using either taxi company? b) In what situations would you choose company A? Click here to see answer by mananth(12270)

 Question 416227: a worker gets 60c an hour for ordinary time and 90c an hour for overtime. If she gets \$32.40 for a 50 hour week how many hours are overtime? Click here to see answer by mananth(12270)

 Question 416226: a worker gets 60c an hour for ordinary time and 90c an hour for overtime. If she get #32.40 for a 50 hour week how many hours are overtime? Click here to see answer by mananth(12270)

 Question 416595: how do you solve this problem??? A copy machine has a purchase cost of \$1200 and has an estimated page cost of 2\$ per page. What is the minimum number of pages that should have to be copied before the purchase of the copy machine would be more cost effective than renting a machine at a cost of 5\$ per page? i have a answer but i can't really follow this question...:(( could you explain it in details? :)) Click here to see answer by ankor@dixie-net.com(15639)

 Question 416858: In a triangle, the measure of the second angle is twice the measure of the first angle. The third angle is equal to the sum of the other angles. Which of the following could represent the measures of the three angles? x, 2x, 4x x, 2x, 3x x, 2x, 2x Click here to see answer by ewatrrr(10682)

 Question 417147: The governor of Washington State makes twice as much money as the governor of Nebraska. If the total of their salaries is \$195,000, find the salary of each. Click here to see answer by rfer(12647)

 Question 417451: Symbolize as a system of equations but do not solve it: The sum of one number and half another is negative five. Twelve less than twice the second number is the first number.. Click here to see answer by sudhanshu_kmr(1152)

 Question 417580: A self-employed contractor nearing retirement made two investments totaling \$15,000. In one year, these investments yielded \$1023 in simple interest. Part of the money was invested at 6% and the rest at 7.5%. How much was invested at each rate? Click here to see answer by stanbon(57247)

 Question 417618: HELP PLEASE.....I don't understand how to solve this homework question... The amount of an investment of P dollars for t years at simple interest rate r is given by A = P+Prt A) rewrite this formula by factring out the GCF on the right hand side B) Fina A if \$8300 is invested for 3 years at a simple interest rate of 15% Thank you SOOOO much!!!!! Click here to see answer by josmiceli(9661)

 Question 417315: A machine can fill 1000 cases of soda cans in 3 hours. A second machine requires 5 hours to fill the same amount. How long will if take both machines together to fill an order of 5000 cases? Click here to see answer by scott8148(6628)

 Question 417691: A rectangular painting with a width of x centimeters has an area of x^2 +50x square centimeters. Find the binomial that represents the length. A =x^2+50cm^2 HELP...I dont get word problems...if someone could explain their answer, I'd be much appreciative!!! THANK YOU :) Click here to see answer by sudhanshu_kmr(1152)

 Question 417829: jamil always throws loose change into a pencil holder on his desk and takes it out every two weeks. this time it is all nickels and dimes. there are 8 times as many dimes as nickels, and the value of the dimes is \$9.00 more than the value of the nickels. how many nickels and dimes does jamil have? i dont know how to work this problem Click here to see answer by lwsshak3(6472)

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