Questions on Word Problems: Linear Equations And Systems Word Problems answered by real tutors!

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Question 340180: The sum of three integers equal 53. If the first is doubled, the sum is 67.
If the second is doubled, the sum is 71. Find the integers.
Click here to see answer by Fombitz(13828)

Question 340693: The sum of five and three times some number is 29. Find the number.
Click here to see answer by rfer(12678)

Question 340854: The sum of two numbers is greater than or equal to 14 . The second number is 2 less than the first. What are the possible values for the first of the two numbers?
In your answer, denote the first number by x.
The sum of two numbers is less than or equal to28 . The second number is 8 more than the first. What are the possible values for the first of the two numbers?
In your answer, denote the first number by x
Thank whoever help me I need these two answers badly. Thank you again!
Click here to see answer by mananth(12270)

Question 340967: a man has 14 coins all of which are dimes and quarters. if the total value of his change is $2.75, how many of each coins does he have
Click here to see answer by solver91311(16897)

Question 341309: Find the linear equation that passes through the point (-8,1) and has an undefined slope.
Write the equation of the line parallel to x=8 that passes through the point (-3,0).
Find the slope of the line passing through the points (-4,2) and (1,-5).
Click here to see answer by texttutoring(324)

Question 341426: A small magazine publisher wants to determine the best combination of two possible magazines to print for the month of July. Backyard magazine, which he has published for years, is a steady seller. The publisher wants to make sure he prints at least 400 copies to meet his demand from the newstands. Porch is a new venture and has received the benefit of a great deal of advance publicity. The publisher is hoping that by positioning it near Backyard, he will pick up some spillover demand from his regular readers. Also, he is hoping that the advertising campaign will bring in a new type of reader from a potentially very lucrative market. He wants to print at least 300 copies of Porch. The cover price for backyard is $3.50; he is pricing Porch at $4.50 because other magazines in this market seem to be able to command this type of higher price. The publisher has 36 hours of printing time available for this production run. He also has 30 hours in the collation department, where the magazines are actually assembled. Each Backyard requires zines are actually assembled. Each Backyard requires 2.5 minutes per copy to print and 1.8 minutes per copy to collate. Each Porch requires 2 minutes to print and 2 minutes to collate. How many of each magazine should the publisher print to maximize his revenue?
Click here to see answer by solver91311(16897)

Question 341541: With 51 gallons of fuel in its tank, the airplane has a weight of 2321.3 pounds. What is the weight of the plane with 79 gallons of fuel in its tank? The slope is 6.3.

Click here to see answer by ankor@dixie-net.com(15667)

Question 341771: what is the cost in cents of one baseball if baseballs are priced at d dollars per dozen ?

i tried 12D/ 100 becasue 100 pennies are in a dollar . but it just said cents so i was guessing pennie
Click here to see answer by stanbon(57424)

Question 341713: Susan is going to fence a rectangular flower garden in her back yard. She has 50 ft of fencing and she plans to use the house as the fence on one side of the garden. If the area is 300 square feet, what are the dimensions of the flower garden?
Give a heading, equation and solution.
Click here to see answer by checkley77(12569)

Question 341790: what is the cost in cents of one baseball if baseballs are prices at d dollars per dozen?
Click here to see answer by edjones(7569)

Question 342187: I have a new home 86 miles away. The movers left 12 minutes ago are traveling 50miles per hour I am leaving my house now and plan to drive 65 miles per hour. I want to reach the house before the movers, which means that I will pass them on the road. Create a system of equations to show the distance of the movers at any given time
Click here to see answer by josmiceli(9698)

Question 342199: the sum of two numbers is twenty-five. the larger number is seven less than four times the smaller number. find the numbers.
Click here to see answer by mananth(12270)

Question 342198: the sum of two numbers is twenty-three. the larger number is five more than twice the smaller number. find the two numbers.
Click here to see answer by Fombitz(13828)

Question 342195: the sum of a number and twice the number is nine
Click here to see answer by Fombitz(13828)

Question 342357: please help me with the follwing question,please can you help me work it out: If i multiply a certain number by 5,i get the same answer as when i subtract the number from 48. What is the number?
Click here to see answer by Fombitz(13828)

Question 342358: Please help me work this out: The sum of 3 numbers P,T and K is 129. T is more than P and P is less than K. Find the numbers.
Click here to see answer by Fombitz(13828)

Question 342360: please help me solve this: A father is four times as old as his son. In six years time,their combined ages will be 57. How old is the father now?
Click here to see answer by Fombitz(13828)

Question 342392: Please help me solve:

Solve A=P+PRT for T.
I don't even know where to begin.
Lisa
Click here to see answer by MathTherapy(1430)

Question 342391: Please help me solve this:
The perimeter of a rectangle is 24 centimeters. The length of the rectangle is four more than the width. What is the length of the rectangle?
4x+x=24?
I having difficulty with this subject.
Lisa
Click here to see answer by jim_thompson5910(28598)

Question 342705: It takes you 30 minutes to rake the leaves in your yard and it takes your brother 45 minutes. How long does it take the two of you to rake the leaves when working together?
Click here to see answer by user_dude2008(1861)

Question 342797: Your salary is $1250 per week and you receive a 5% commission on your sales each week. What are the possible amounts (in dollars) that you can sell each week to earn at least $1500 per week?
Click here to see answer by unlockmath(1606)

Question 343059: A coffee wholesaler wants to blend a coffee containing 35% chicory with a coffee containing 15% chicory to produce a 500 kilogram blend of coffee containing 18% chicory. How much of each type is required?
Click here to see answer by stanbon(57424)

Question 343344: the charge for a one-day rental of a car from Shurtz Car Rental Agency is $24 plus 15 cents for each mile driven. a.) If Jill drives 85 mi in one day, how much is the charge? b.) If a one-day rental cost Jill $42, how far did she drive? please answer it.
Click here to see answer by MathTherapy(1430)

Question 343381: The product of twenty less than eight times a number and thirty less than two times a number equals zero. Find the number(s).
Click here to see answer by mananth(12270)

Question 343440: Liza has 60 coins in her collection. The coin collection consists of nickles, dimes and quarters. She has five fewer quarters than nickles and ten more dimes than quarters. How many coins of each kind does Liza have? Thank you.
Click here to see answer by solver91311(16897)

Question 343333: A 34-foot-long speaker wire is to be cut into three pieces. One piece is to be 12 feet long. Of the remaining pieces, one must be 3 feet less than 4 times the length of the other. Find the length of the shorter piece.

Click here to see answer by Fombitz(13828)

Question 343351: Throughout history, rectangles whose length is 1.62 times the width called golden rectangles have been pleasing to the eye. An Artist wants a piece of canvas in the shape of a golden rectangle with a perimeter of 9 feet. Find the length and the width.
Click here to see answer by ankor@dixie-net.com(15667)

Question 343497: I cannot figure out how to set up an equation to find the length and the width of the rectange. The word problem is:
The perimeter of a rectangle is 32 inches, and the area is 60 square inches. Find the length and width of the rectangle.
Click here to see answer by ankor@dixie-net.com(15667)

Question 343565: Is 9xy= 18 a linear function?
Click here to see answer by jim_thompson5910(28598)

Question 343594: at 1:00 P.M you and your friend leave your houses on bicycles and head toward the park. you travel at a speed of 25feet per second, and your friend also travels at a constant speed. you both reach the park at the same time.
(from your house to your friends house is 2000feet. from your friends house to the park is 3000feet.)
a.)write and gragh an equation giving your distance (d) in feetfrom the park after (t)seconds.
b.)at what speed does your friend travel to the park? explain how you found your answer.
c.)write an equation giving your friends distance (d) in feet from the park after (t) seconds. graph the equation in the same coordinate plane you used for part A.
Click here to see answer by ankor@dixie-net.com(15667)

Question 343797: Find the y intercept for 2x - 5y = 10
Click here to see answer by rfer(12678)

Question 343824: What is the equation of the line that bisects the first and third quadrants? What is the equation that bisects the second and fourth quadrants?
Click here to see answer by Fombitz(13828)

Question 343928: Solve the system of equations in 3a using substitution, to find the exact number of hours for which Company B will have a lower total price. Express your answer as an inequality
Click here to see answer by Fombitz(13828)

Question 344041: Company A charges and allows unlimited mileage.
Company B has an initial fee of and charges an additional for every mile driven.
For what mileages will Company A charge no more than Company B?
Use for the number of miles driven, and solve your inequality for .
Click here to see answer by Fombitz(13828)

Question 344052: Problem solving using linear equation
problem question : Zara works part-time at a flower shop. She is making a flower arrangement for a customer with a total of 30 flowers, using two types of flowers. she asked to use four times as many carnations as roses. how many of each will be in the arrangement?

i tried to solve this question many times but couldn't get the right answer
so please can you help me?
Click here to see answer by Fombitz(13828)

Question 343924: You have two options when hiring a consultant for your business.
Company A will charge a one-time $500 project fee, plus $80 per hour.
Company B will charge a one-time $750 project fee, plus $70 per hour.
For both companies, write an equation to represent their total fees, with the variables of “t” for total cost, and “h” for hours worked. (Hint: your equations will look like t = [expression], where the expression will include the one time fee plus the hourly rate)

Click here to see answer by toya3081(3)

Question 343927: This question is part two of the question asked in 343924.
Referring to 3a above:
(a) If your project is going to take 20 hours, and you are choosing your consultant on price only, which consultant would charge less?
(b) If your project is going to take 40 hours, which consultant would charge less?
Your Solution

Click here to see answer by toya3081(3)

Question 343875: Two trains leave the railway station at the same time.The first travels due west and second train due north. The speed of the first train is 5 km faster than the second train. After two hours they are 50 km apart. Find the average speed of the trains.

Click here to see answer by ankor@dixie-net.com(15667)

Question 344455: A silversmith has two alloys, one containing 35% silver and the other 66% silver. How much of each should be melted and combined to obtain 100 grams of an alloy containing 45% silver?
Click here to see answer by Fombitz(13828)

Question 344495: I do not understand how to turn these in to linear equations? I can't figure out what to put where for an equation that will give me the answer I need.
How much 90 percent vinegar do you have to add to a gallon of 5 percent vinegar to get 20 percent vinegar?
________ gallons.
and
You can paint a certain room in 9 hours. Your brother can do it in 8 hours. How long does it take the two of you working together?
_____ hours.
Click here to see answer by vleith(2825)

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