# 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 581662: A group of 60 people attend a ball game. There were twice as many children as adults in the group. Write a system of equations that you could use to set up this problem, where "a" is the number of adults and "c" is the number of children in the group. Solve the system of equations for "c", the number of children in the group. Show the work step by step and explain how you did it. HELP ME PLEASEEE! Click here to see answer by stanbon(57226)
 Question 581662: A group of 60 people attend a ball game. There were twice as many children as adults in the group. Write a system of equations that you could use to set up this problem, where "a" is the number of adults and "c" is the number of children in the group. Solve the system of equations for "c", the number of children in the group. Show the work step by step and explain how you did it. HELP ME PLEASEEE! Click here to see answer by jim_thompson5910(28476)

 Question 581682: "x" pounds of candy valued at \$3.50 per pound is mixed with "y" pounds of candy valued at \$4.30 per pound to produce 10 pounds of a mixture selling for \$4 per pound. Find "x" and "y", the number of pounds of each type. Click here to see answer by stanbon(57226)

 Question 581678: A total of \$10,000 is invested in two funds paying 5% and 7% annual interest. The combined annual interest is \$630. How much of the \$10,000 is invested in each fund? Click here to see answer by stanbon(57226)

 Question 581962: W=52+1.9x W=56.2+1.41x At what height do both formulas give the same ideal body weight? Click here to see answer by ankor@dixie-net.com(15628)

 Question 582188: Mr.Frankel bought 7 tickets to a puppet show and spent \$46. He bought a combination of child tickets for \$2 each and adult tickets for \$10 each. Which system of equations below will determine the number of adult tickets,"a", and the number of child tickets,"c", he bought? Show Work A.) a + c = 322 a + c = 7 B.) a = c - 10 10a + 2c = 46 C.) 10a + 2c = 46 a + c = 7 D.) 2a + 2c = 53 a + c = 7 Click here to see answer by dfrazzetto(277)

 Question 582220: Hi, I am having trouble trying to write an equation for this question. Can you please help? You are running a concession stand. You are selling hotdogs and soda. Each hot dog costs \$ 1.50 and each soda costs \$ .50. You made a total of \$ 78.50. You sold a total of 87 hot dogs and sodas combined. You must report the number of hot dogs and soda's sold. How many hot dogs and soda's were sold? Thanks Click here to see answer by stanbon(57226)

 Question 582665: Last year, Greg's father weighed three times as much as Greg. Since then, Greg has gained 9kg and father has lost 4kg. Now his father weighs only twice as much as Greg. Find their current weights. Click here to see answer by mananth(12270)

 Question 582880: need to come up with two equations, with x and y A bricklayer lays an average of 150 bricks per hour. During a job, he is called away and replaced by a less experienced man, who averages 120 bricks per hour. The two men laid 930 bricks in 7 hours. How long did each work? Click here to see answer by ankor@dixie-net.com(15628)

 Question 583077: The larger of two numbers is 23 less than twice the smaller. The sum of the two numbers is 70. Find the two numbers Click here to see answer by JBarnum(2044)

 Question 583217: A group of 68 people attended a baseball game. In that group, the number of children was three times the number of adults. Set up a system of equations, and solve the systems to determine how many children went to the baseball game in the group. Click here to see answer by josmiceli(9654)

 Question 583574: 10 years ago a father was 6 times as old as his daughter. 10 years later he is twice as old as his daughter.what would be their present age. Click here to see answer by JBarnum(2044)

 Question 583845: Write a system of linear equations. the sum of two number is 3. Their difference is 1. Find numbers Click here to see answer by stanbon(57226)

 Question 583864: if a 22-inch rope is to be cut into 2 pieces so that one is 3 inches longer than twice the other, how long is each piece Click here to see answer by josmiceli(9654)

 Question 584362: how can i solve this 1.The sets P, Q and R are such that P ∩Q and P ∪Q ⊂R. a.) Draw a Venn diagram showing the sets, P,Q and R Click here to see answer by solver91311(16868)

 Question 584394: CAN SOMEONE HELP ME WITH A GRAPH what would the graph look like of c=20t + 40 Click here to see answer by Alan3354(30970)

 Question 585063: a grocer wants to mix nuts which sell for rs 4 per kilo with nuts which sell for rs 7 per kilo in order to make a mixture which could sell for rs 5 per kilo.How many kilos of each should he mix to get a mixture of 42 kilos? Click here to see answer by richwmiller(9135)

 Question 585108: Ok so here is my word problem: A university bookstore recently sold a wirebound graph-paper notebook for \$1.64, and a college-ruled notebook for \$1.17. At the start of spring semester, a combination of 50 of these notebooks were sold for a total of \$66.02. How many of each type were sold? So far what I have is: x+y=50 1.64x+1.17y=66.02 I found that x=50-y but now I am completely lost. Please help. Thanks in advance. Click here to see answer by Alan3354(30970)

 Question 585168: the sum of three consecutive integers is 1035. find the integers. Click here to see answer by Alan3354(30970)

 Question 585455: A pencil and pen together cost \$310. The pencil cost \$10 more than 9 times the pen. What does each cost? Click here to see answer by checkley79(3039)

 Question 585459: A chemistry teacher needs to make 10L of 42% sulphuric acid solution. The acid solutions available are 30% sulphuric acid and 50% sulphuric acid, by volume. How many liters of each solution must be mixed to make the 42% solution? My question is how do I set up the two system equations so I can then use the substitution method to solve. Click here to see answer by KMST(1868)

 Question 585593: A company can make 10 satellite dishes for \$112,800, while 24 satellite dishes cost \$120,920. Let y be the cost to produce x satellite dishes. Click here to see answer by Alan3354(30970)
 Question 585593: A company can make 10 satellite dishes for \$112,800, while 24 satellite dishes cost \$120,920. Let y be the cost to produce x satellite dishes. Click here to see answer by richwmiller(9135)

 Question 586123: I am trying to help my daughter solve this word problem: The product of a number and 12 is equal to 30 plus the quotient of a number and 8. I have come up with the equation: 12n=n/8+30 But I am unsure of how to solve it. Thanks for your help. Click here to see answer by Alan3354(30970)

 Question 586272: find the angles of a triangle if the second angle is 32 less than three times the first angle and third angle is 28 less than twice the first angle Click here to see answer by stanbon(57226)

 Question 586277: Which set of ordered pairs is not a function? A. (3, 1), (–1,1), (1, 1), (3, −1) B. (–3, 1), (–1, 1), (1, 1), (3, 1) C. (–3, 1), (–1, –1), (1, 1), (3, 1) D. (–3, 1), (–1, –1), (1, 1), (3, −1) Click here to see answer by stanbon(57226)

 Question 586591: an orginazation supplies blankets, cots and lanterns. 1 week they purchased 15 blankets, 5 cots and 10 lanterns at a total cost of \$1250. The next week at the same prices they purchased 20 blankets, 10 cots and 15 lanterns at a cost of \$2000. The following week, at the same cost, they purchased 10 blankets, 15 cots and 5 lanterns for \$1625. find the individual prices for each item. Include the correct system of equations, the matrix entered in a calculator and the answer using labels and units. Click here to see answer by solver91311(16868)

 Question 586650: Pamela is 7 years older than Jiri. The sum of their ages is 75 . What is Jiri's age? Click here to see answer by solver91311(16868)

 Question 587286: A man invested three equal amounts of money at 5%,16% and 25% annual interest rates,respectively.If his total annual income is 552,000 pesos, how much did he invest at each rate? Click here to see answer by richwmiller(9135)

 Question 587493: The dress store is having a sale where everything is 1/4 off .A woman pays \$42 dollars of the merchandise price. What would she have payed at regular price ? Click here to see answer by stanbon(57226)

 Question 587812: A local citizen wants to fence a rectangular community garden. The length of the garden should be at least 110 ft, and the distance around should be no more than 380 ft. Write a system of inequalities that models the possible dimensions of the garden. Graph the system to show all possible solutions. I DON'T UNDERSTAND THE ENTIRE PROBLEM. Click here to see answer by josmiceli(9654)

 Question 587882: An inheritance of \$25,000 is divided among three investments yielding a total of \$1,275 in interest per year. The interest rates for three investments are 4.5%, 5%, and 8%. The amounts invested at 5% and 8% are 4000 and 10000 less than the amount invested at 4.5 respectively. Find the amount invested in each rate. Click here to see answer by mananth(12270)
 Question 587882: An inheritance of \$25,000 is divided among three investments yielding a total of \$1,275 in interest per year. The interest rates for three investments are 4.5%, 5%, and 8%. The amounts invested at 5% and 8% are 4000 and 10000 less than the amount invested at 4.5 respectively. Find the amount invested in each rate. Click here to see answer by lwsshak3(6465)

 Question 587918: The equation y=1777x + 27,153 can be used to predict the number y of gun deaths in the United States x years after 2000, that is, x=0 corresponds to 2000, x=3 corresponds to 2003, x=4 corresponds to 2004 and so on. Predit the number of gun deaths in 2004 and 2007. In what year will the number of gun deaths be 12,937? Click here to see answer by josmiceli(9654)

 Question 587929: Each semester, a college charges a service fee of \$50 plus \$25 for each unit taken by a student. Write a linear equation that gives the total enrollment cost c for a student taking u units. Click here to see answer by KMST(1868)

 Question 588435: Tickets to the Valentine Dance cost \$3 per person or \$5 per couple. If \$475 worth of tickets were sold and 180 people attended the dance, how many couples were there? Click here to see answer by josmiceli(9654)

 Question 588205: A takes 1 hour longer than B to walk 30km, A's pace was doubled,then A would take 2 hours less than B. find their rates of walking. pls. help me to solve this problem it's getting on my nerves.... Click here to see answer by ankor@dixie-net.com(15628)

 Question 588615: tom travels 230 miles. part @60 mph part @ 10 mph total travel time is 8 hours how many miles @ reduced speed Click here to see answer by ankor@dixie-net.com(15628)

 Question 588737: A retailer wants to sell and make a profit of 30% of the cost of each item. The function s(c)=c+03c=1.3c, where c represents the cost of an item, can be used to determine the selling price. Find the selling price of an item that costs \$11.50. Click here to see answer by KMST(1868)

 Question 589249: Two-fifths of joe's income each month goes to taxes. If she pays \$848 in taxes each month, what is her monthly income? Click here to see answer by richwmiller(9135)

 Question 589301: A plane flying with a tail wind flew at a speed of 460 mph, relative to the ground. When flying against the tailwind, it flew at a speed of 310 mph. Find the speed of the tailwind. Click here to see answer by richwmiller(9135)

 Question 589118: Mongo has 20 coins consisting of nickels and dimes. if the nickels were dimes and dimes were nickels, he would have 50c more than he now has. how many nickels and how many dimes does he have? Click here to see answer by KMST(1868)

 Question 589119: desi has 10 coins consisting of pennies and nickels. strangely enough, if the nickels were pennies and the pennies were nickels, she would have the same amount of money as she now has. how many nickels and pennies does she now has? Click here to see answer by KMST(1868)

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