# 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 506894: At a hotel one night,260 rooms were booked. Some were single rooms and some were double rooms. The single rooms cost #35 each and the double rooms cost \$60. The hotel made \$14000 that night. How many single and double rooms were booked? Click here to see answer by emargo19(101)

 Question 507419: Karen can jog to work in 4/5 of an hour. When she rides her bike, it takes her 3/10 of an hour. If she rides 12 miles per hour faster than she jogs, how far away is her work. Click here to see answer by ankor@dixie-net.com(15624)

 Question 507607: Colombian coffee beans cost \$5.50/lb., while Peruvian coffee beans cost \$4.25/lb. We want to mix the beans together so as to produce a 40-lb bag, costing \$4.60/lb. How many pounds of each type of bean should be used? Click here to see answer by josmiceli(9649)

 Question 507703: if the sum of a number and 6 is multiplied by 5, the resuit is same as 9 times the number decreased by 2 Click here to see answer by oberobic(2304)

 Question 507751: An employment agency specializing in temporary construction help pays heavy equipment operators \$140 per day and general laborers \$90 per day. If 35 people were hired and the payroll was \$3950, how many heavy equipment operators were employed? How many laborers? Click here to see answer by i<3math(1)

 Question 507834: A man invests 1/3 of his capital at 3% and the remainder at 4%. What is the capital if his total income is 44 000? Click here to see answer by nerdybill(6948)
 Question 507834: A man invests 1/3 of his capital at 3% and the remainder at 4%. What is the capital if his total income is 44 000? Click here to see answer by Earlsdon(6287)

 Question 507874: From 1984 to 1987, medical expenses in the US rose in a linear pattern from 10.3% of the gross national product to 10.9% in 1987. If the level of growth continues at this rate write a linear equation to describe the percent of gross national product devoted to medical expensess, y in year x. Click here to see answer by stanbon(57219)

 Question 507959: Ron has 14 coins with a total valve of \$2.30. The coins are nickels and quarters. How many of each coin does he have? Click here to see answer by zi5584717(1)

 Question 508078: A farmer has 96 feet if fence with which to make a corral. If he arranges it into a rectangle that is twice as long as it is wide, what are the dimensions? Click here to see answer by rfer(12644)

 Question 508144: Hello. I am having a hard time understanding Algebra. I am looking for someone to explain to me in basic terms the steps involved in solving this problem and similar ones: The second of two numbers is five less than three times the first. Their sum is 43. What are the numbers? I am very grateful for any help you may give me. Click here to see answer by rfer(12644)

 Question 508801: helllo, I need help with my project! I need to graph this equationThe admission fee at a small fair is \$1.50 for children and \$4.00 for adults. On a certain day 2,200 people enter the fair and \$5050 is collected. How many children and how many adults attended? i am not sure how to do it at first i tried doing the box with the equation in the middle and then you give x like for example x 4a+1.5c=5050 y 1 4(1)+1.5c=5050 can you help me solve this? Thanks, Genesis Click here to see answer by Edwin McCravy(8879)
 Question 508801: helllo, I need help with my project! I need to graph this equationThe admission fee at a small fair is \$1.50 for children and \$4.00 for adults. On a certain day 2,200 people enter the fair and \$5050 is collected. How many children and how many adults attended? i am not sure how to do it at first i tried doing the box with the equation in the middle and then you give x like for example x 4a+1.5c=5050 y 1 4(1)+1.5c=5050 can you help me solve this? Thanks, Genesis Click here to see answer by oberobic(2304)

 Question 508865: when a number is increased by 15 the number is equal to 5/2 the original number. Find the original number Click here to see answer by jerryguo41(162)

 Question 509113: A boat travelled 210 miles downstream and back. The trip downstream took 10 hours. the trip back took 70 hours. What is the speed of the boat in still water? What is the speed of the current? I tried several things, none of them worked. I've turned this problem every which way and still can't find the solution. Click here to see answer by mananth(12270)

 Question 509213: Can someone show me step by step how to "Translate words into math Problems" I keep getting confused with the wording and I don't know what the "Syntax" is. if I can get help setting up this first problem, I will understand how to do the rest. Thank You! "Find four consecutive odd integers such that three times the largest is the same as five more than four times the smallest" Click here to see answer by scott8148(6628)

 Question 509643: I am having a problem setting this question up to solve Jolene invests her savings in two bank accounts, one paying 3 percent and the other paying 8 percent simple interest per year. She puts twice as much in the lower-yielding account because it is less risky. Her annual interest is 6076 dollars. How much did she invest at each rate? thanks :) Click here to see answer by Earlsdon(6287)

 Question 509985: i am having trouble setting up a linear equation story problem. how many liters of a 10% alcohol solution must be mixed with 20l of a 80% solution to get a 50% solution. I know what to do but do not know how to identify the coreect form Click here to see answer by nerdybill(6948)

 Question 509792: mary began walking home from school, heading south at a rate of 4 mph. Sharon left school at the same time heading north at 6 mph. how long will it take for them to be 3 miles apart? Click here to see answer by ankor@dixie-net.com(15624)

 Question 510438: divide 2790 into two parts such that 8% of the first part is equal to 10%of the second part Click here to see answer by lwsshak3(6461)

 Question 510863: how to write the sum of two consecutive odd integers is at most 30. what are the greatest possible integers. Click here to see answer by mananth(12270)

 Question 510979: how to solve this elimination problem : 3x-2y=10 , 2x+3y=-2 Click here to see answer by mananth(12270)

 Question 511159: The remaining credit after 28 minutes of calls is \$20.80, and the remaining credit after 49 minutes of calls is \$17.65. What is the remaining credit after 58 minutes of calls? Click here to see answer by solver91311(16868)

 Question 510894: two girls each have a different number of candies. jasmine said if you give me 5 i will have as many you. Wendy said if you give me 5 i will have twice as many as you.how many candies did each girl have? Click here to see answer by ankor@dixie-net.com(15624)

 Question 511519: in one week, a music store stold 9 guitars fora total of \$3611. electric guitars sold for \$479 each and acoustic guitars sold for \$339 each. how many of each type of guitar were sold? so far i got (3611)(9)=479e+338a e=electric a=acoustic Click here to see answer by oberobic(2304)

 Question 511794: The Cumulative of a car accidents from 2000 to 2010 can be molded by quadratic expressions,C=-41x^2+1476x+19,885. where x=1 corresponds to 2000, x=2 corresponds to 2001, and so on until x=11 corresponds to 2010 Click here to see answer by josmiceli(9649)
 Question 511794: The Cumulative of a car accidents from 2000 to 2010 can be molded by quadratic expressions,C=-41x^2+1476x+19,885. where x=1 corresponds to 2000, x=2 corresponds to 2001, and so on until x=11 corresponds to 2010 Click here to see answer by dango24(4)

 Question 511964: I have to come up with two equations to solve this problem: The number of frogs is 6 more than ducks and the number of combined legs is 54. What are the number of frogs and ducks? I tried: (4x+6)+2y=54 & 4x+2y=54 But these equations did not work, PLEASE help? Click here to see answer by oberobic(2304)

 Question 512022: The school choir has a fund-raiser that sells roses for \$2 each. For each rose that is sold, the choir will donate 95 cents to a children's hospital. If the choir earns \$987, how much money is donated to the hospital? Click here to see answer by josmiceli(9649)

 Question 512052: Please help me set up a system of equations from this word problem: Now let us consider fat grams in burgers from three popular fast food restaurants. The number of fat grams in a Whopper exceeds the fat grams in a Big Mac by eleven. If you add the fat grams in a Whopper and a Sonic Cheeseburger, it is seven less than three times the fat grams in a Big Mac. Twice the amount of the fat grams in all three is 222. Find the fat content of each burger using the matrix method. Click here to see answer by stanbon(57219)

 Question 512072: Not sure how to solve this problem on my daughters homework. I would like to understand so I can attempt to explain it to her. Here it is.. The difference of two numbers is 8. The first number x is 1 less than twice the second number y. Write and solve a system of linear equations to find the two numbers Click here to see answer by scott8148(6628)
 Question 512072: Not sure how to solve this problem on my daughters homework. I would like to understand so I can attempt to explain it to her. Here it is.. The difference of two numbers is 8. The first number x is 1 less than twice the second number y. Write and solve a system of linear equations to find the two numbers Click here to see answer by stanbon(57219)

 Question 512513: a number increased by fifteen is equal to five-halves the number. find the number Click here to see answer by rfer(12644)

 Question 512807: The owner of a video store has determineed the cost C, in dollars, of operating the store is approximately given by C(x)=2x^2-32x+720, where x is the number of videos rented daily. Find the lowest cost to the nearest dollar. Click here to see answer by josmiceli(9649)

 Question 513219: The most Kala can spend on hot dogs and buns is \$35. A package of 10 hot dogs costs \$3.50. A package of buns costs \$2.50 and contains 8 buns. She needs to buy at least 40 hot dogs and 40 buns. Click here to see answer by umail08(87)

 Question 513383: is the ordered pair (7,-2) a correct solution for the system Click here to see answer by Alan3354(30959)

 Question 513521: the sum of two numbers is 52.the sum of the smaller and 5 times the larger is 184. find the numbers Click here to see answer by Maths68(1474)

 Question 513839: Jacob is responsible for buying uniforms. The tops are \$2.50 more than the shorts. He orders 20 tops and 17 shorts. His total cost is \$346. How much does he order of each item. Click here to see answer by solver91311(16868)
 Question 513839: Jacob is responsible for buying uniforms. The tops are \$2.50 more than the shorts. He orders 20 tops and 17 shorts. His total cost is \$346. How much does he order of each item. Click here to see answer by umail08(87)

 Question 513858: Sandi bought 6 yards of material. She wants to cut it into two pieces so that the difference between the lengths of the two pieces will be 1.5 yards. What should be the length of each piece? Click here to see answer by stanbon(57219)

 Question 513949: 1. Twice a number decreased by 39 is five times the sum of the number and two times the number . Click here to see answer by drcole(72)

 Question 514342: a projectile is fired upward with a velocity of 860 ft/sec from a height of 7ft above the ground.Determine the function of the hightof the projectile t after it is release. How long will it take to reach a height of 100ft up. How long will it it stay in the air. Click here to see answer by stanbon(57219)

 Question 514493: Goodies Club recently ran a bake sale to raise charity. Donuts were sold for \$0.50 a piece and the coffee for \$0.70 per person. It is known that 120 items were sold and \$68 collected. How many cups of coffee were sold? Click here to see answer by solver91311(16868)

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