# 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 554159: find the values of a for which the statement is always true when x is a whole number. explain your reasoning. - 2x + a is odd - -ax^2 is nonnegative - 3x + a is divisible by 3 Click here to see answer by richard1234(5390)

 Question 554993: I live close to the local water park. I would like to go to the park throughout the summer but Im wondering what type of pass to purchase for the better deal. I have 2 options when it comes to purchasing a pass to the park. I can either buy an annual pass for \$100.00 that can be used as many times as I would like throughout the summer or I can purchase a daily pass each time for \$25.00. Depending on the amount of times I visit the park will depend on what would be the best to buy. I plan to visit the park at least 7 times. I need to create algebraic equations that represent the cost/yield and then I have to graph them. Click here to see answer by ankor@dixie-net.com(15638)

 Question 555496: If the difference in the side lenghts fo two squares is 10 and the sum is 18. What are the side lenghts Click here to see answer by edjones(7569)

 Question 556014: There are twice as many children as adults at the concert. The total amount of money collected for the concert is \$1080. How many adults are at the concert. Click here to see answer by TutorDelphia(193)
 Question 556014: There are twice as many children as adults at the concert. The total amount of money collected for the concert is \$1080. How many adults are at the concert. Click here to see answer by josmiceli(9661)

 Question 556223: An antique dealer bought c antique chairs for a total of x dollars. the dealer sold each chair for y dollars. write an algebraic expression for profit, P, earned from buying and selling the chairs. write algebraic expression for the profit per chair. Click here to see answer by Theo(3458)

 Question 556777: If 5 is subtracted from two thirds of a number, the result is 5 more than one-fourth of the number.What is the number? Click here to see answer by mathstutor494(95)

 Question 556781: Will is 4 years older than Phil. Three years from now, Will will be twice as old as Phil was last year. Find their present ages. Click here to see answer by mathstutor494(95)

 Question 556779: Mario has P5000 to invest and decides to invest part of it at 4% and the rest of it at 6 1/2 %. If the total interest for the year is P245, how much does Mario have invested at each rate? Click here to see answer by mathstutor494(95)

 Question 556959: I don't know how to do this problem, can you help? What is the slope of a line perpendicular to the segment AB which has the end point A(-8.1, 4.9) and B(-7.6, 2.9)? express your answer as a common fraction. Click here to see answer by KMST(1868)

 Question 557092: "How many litres of 22% salt solution must be added to 80 L of 65% salt solution to obtain a 42% salt solution?" This is a review package, and this question is from my first unit of the year. I have totally forgotten how to solve this type of question so I would be very thankful to have the steps to an answer given! Thank you very much! Click here to see answer by Theo(3458)

 Question 557036: two families who live 80 km apart met at a park between their homes for a picnic. How long did each drive if both traveled at a rate of 50 km/h and one drive 10 minutes longer than the other. Click here to see answer by ankor@dixie-net.com(15638)

 Question 557084: A number is 27 more than the number obtained by reversing its digits. If its unit's and ten's digit are x and y respectively, write the linear equation representing the above statement. Click here to see answer by ankor@dixie-net.com(15638)

 Question 557987: If the perimeter of a retanglular piece of glass is 26in and the length is 4in longer than twice the width, then what are the lenght and the width? i've been staring at this probelm for an hour, and I just know I am missing something so obvious: here is one of the equations I have tried L=2w+4in P=26in W=? w + 2w + 4 = 26 3w + 4 = 26 -4 -4 3w = 22 /3 /3 w = 7.33 (repeating) then I knew my equation was wrong. Click here to see answer by solver91311(16868)

 Question 558043: Charlie has 11 animals at home, consisting of dogs and parrots. If there are 38 legs total, how many dogs does he have? Click here to see answer by saifoo.khan(162)
 Question 558043: Charlie has 11 animals at home, consisting of dogs and parrots. If there are 38 legs total, how many dogs does he have? Click here to see answer by stanbon(57246)

 Question 558078: Armond has two solutions available in the lab, one with 5% alcohol and another with 13% alcohol. How much of each solution should he mix together to obtain 6 gallons of a solution that contains 8% alcohol. I have no idea where to even begin on this problem... Click here to see answer by stanbon(57246)

 Question 557702: an algebra 2 test contains 38 problems. Some of the problems are worth 2 points each while the rest are worth 3 points each. A perfect score is 100 points. How many problems are worth 2 points and how many problems are worth 3 points? I tried 2x + 3x = 100 which equals 20 but 60 and 40 is 100 but not 38 Confused not sure what i am going wrong Click here to see answer by ankor@dixie-net.com(15638)

 Question 558171: Mr. and Mrs. Jackson invested some money at 6% simple interest and some money at 10% simple interest. In the second investment they put \$1000.00 more than they put in the first. If the income from both investments for 1 year was \$340.00, then how much did they invest at each rate? Click here to see answer by mananth(12270)

 Question 558218: The carpenter saws a board that is 22 feet long into two pieces. One piece is to be 1 foot longer than twice the length of the shorter piece. Find the Length of each piece. Click here to see answer by rapaljer(4667)

 Question 558275: The sum of the digits of a two-digit number is 14. If 36 is subtracted from the number, the resulting number is the original number with its digits interchanged. Find the original number. Click here to see answer by mananth(12270)

 Question 558422: How would you put this word problem into numbers eleven less than twice a number is at most 25 and at least 15? Click here to see answer by solver91311(16868)
 Question 558422: How would you put this word problem into numbers eleven less than twice a number is at most 25 and at least 15? Click here to see answer by Edwin McCravy(8882)

 Question 558772: In one week, a music store sold 7 violins for a total of \$1600. two different tyoes were sold.One cost \$200 and the other cost \$300. How many of each type were sold? PLZ HELP THIS IS DUE 2MORROW ON 1-18-12 Click here to see answer by bucky(2189)

 Question 558877: A rectangle is 4 inches longer than it is wide. Its perimeter is 28 inches. (a) Write a system of two equations in two variables that describes this information. Be sure to specify what each variable means. (b) Solve your system graphically. Interpret your results. Click here to see answer by mananth(12270)

 Question 558896: When a number is decreased by 20% of itself, the result is 20. What is the number? Click here to see answer by Theo(3458)

 Question 559226: A circus clown had a red balloons and b blue balloons. The clown divided all of his balloons equally among 5 kids. How many balloons did each kid receive? Is my following answer correct? (a + b)/5 = x Click here to see answer by scott8148(6628)

 Question 559224: Leo has d stamps and Pete has 5 times as many. How many more stamps does Pete have than Leo? Is my following answer corret? (d x 5) - d = x Click here to see answer by scott8148(6628)

 Question 559513: A truck gets 15 miles per gallon. The number of gallons g required to drive m miles is given by the formula: g = m / 15 How many gallons are required to travel 250 miles? Round your answer to 1 decimal place. Click here to see answer by josmiceli(9661)

 Question 560089: it takes 6hr for 5 cooks to prepare the food for a wedding dinner. How long will it take 9 cooks to prepare the dinner. What kind of variation applies to this situation. Solve the problem Click here to see answer by josmiceli(9661)
 Question 560089: it takes 6hr for 5 cooks to prepare the food for a wedding dinner. How long will it take 9 cooks to prepare the dinner. What kind of variation applies to this situation. Solve the problem Click here to see answer by Edwin McCravy(8882)

 Question 560181: A consumer electronics company sells 5.3 million MP3 players per month at a price of \$95 apiece; when the price is lowered to \$70, the company sells 7.4 million players per month. How many MP3 players can the company expect to sell per month at a price of \$65? Click here to see answer by josmiceli(9661)

 Question 560119: one number is 17 more than other number their sum 55 what is the other number Click here to see answer by nyc_function(2733)

 Question 560280: Graph and record the solution to the following linear programming problems. 1. A bakery with 5 bakers makes bread and cakes and sells them to local restaurants. Each loaf of bread requires 50 minutes of labor and ingredients costing \$0.90 and can be sold for \$1.20 in profit. Each cake requires 30 minutes of labor and ingredients costing \$1.50 and can be sold for \$4.00 profit. The bakers agree that no one will work more than 8 hours a day. They can spend no more than \$190 per day on ingredients. How many loaves of bread and how many cakes should they make each day to maximize their profit? What is the maximum profit? Click here to see answer by Theo(3458)

 Question 560282: John has 810 points in his math class. He must have 68% of the 1400 points possible by the end of the term to recieve credit for the class. What is the minimum of additional points he must earn by the end of the term to recieve credit for the class? Click here to see answer by stanbon(57246)

 Question 560544: A local hamburger shop sold a combined total of 588 hamburgers and cheeseburgers on Tuesday. There were 62 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Tuesday? Click here to see answer by mananth(12270)

 Question 560749: what is the equation for 375 yards per min with a 125 yard head start? Click here to see answer by rfer(12647)

 Question 561076: Joe sold 30 peaches from his tree for a total of \$7.50. He sold the small ones for 20 cents each and the large ones for 35 cents eaach. How many of each kind did he sell? Click here to see answer by Maths68(1474)

 Question 561152: At Al's Rent-a-Center, it costs \$30 more per month to rent a leather couch than it does to rent a microfiber couch. Pauline rented a leather couch for 8 months and then exchanged it for a microfiber couch, which she rented for 12 months. She paid a total of \$1620 to rent these couches. Solve this system of equations to find the monthly rental charge for each couch. Click here to see answer by josmiceli(9661)

 Question 561161: A poll found that a particular group of people read an average of 10.1 books per year. The pollsters are 99% confident that the result from this poll is off by fewer than 1.32 books from the actual average x. Express this situation as an inequality involving absolute value, and solve the inequality for x to determine the interval in which the average is likely to fall Click here to see answer by stanbon(57246)

 Question 561196: Two trucks left Vancouver, one going east on the Trans Canada Highway and the other west. The truck going east drove 8 km/h faster since it was partly downhill. At the end of 5h, they discover over their CB radios that they are 460 km apart. How fast is each truck traveling? Click here to see answer by josmiceli(9661)

 Question 561315: Hi! I'm not getting one thing on my math homework, can you help me please? OK...here's the word problem. - Dough bought a small tree at the local garden center to plant in his backyard. The employee at the garden center told him that the tree would grow two centimeters per week. The linear equation below represents, h the height of the tree in Doug's backyard. H=2c+61 -What I'm not getting is, what does 61 represent. How tall the tree is when he got it? Click here to see answer by jim_thompson5910(28504)
 Question 561315: Hi! I'm not getting one thing on my math homework, can you help me please? OK...here's the word problem. - Dough bought a small tree at the local garden center to plant in his backyard. The employee at the garden center told him that the tree would grow two centimeters per week. The linear equation below represents, h the height of the tree in Doug's backyard. H=2c+61 -What I'm not getting is, what does 61 represent. How tall the tree is when he got it? Click here to see answer by fcabanski(874)

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