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

Tutors Answer Your Questions about Linear Equations And Systems Word Problems (FREE)

Question 3402: I've tried many times to find the answer... and I've also never had a real big thing for math that's why I'm in summer school right now... If I could get any help at all it would be great, and maybe a brief x-pla. on how it's to be done
"A theater sells children's tickets for $4 and adult tickets for $7. One night 575 tickets worth $3575 were sold.
How many adults and children bought tickets"
Thanks Many
Matt McIvor
Click here to see answer by pannalal(9)

Question 3390: I've tried many times to find the answer... and I've also never had a real big thing for math that's why I'm in summer school right now... If I could get any help at all it would be great, and maybe a brief x-pla. on how it's to be done
"A theater sells children's tickets for $4 and adult tickets for $7. One night 575 tickets worth $3575 were sold.
How many adults and children bought tickets"
Thanks Many
Matt McIvor
Click here to see answer by pannalal(9)

Question 3609: The cost of a taxi ride is calculated by adding a fixed amount to a charge for each 1/4 mile of the trip. If a one mile trip costs $4.00 and 1 and 1/2 mile trip cost $5.50 , what will be the costs of a 3 mile trip?
Click here to see answer by Zenock(15)

Question 3692: I get confused on how to diversify between putting a negative and positive on problems such as in multiplying, dividing, adding, and subtracting. How do i keep them straight? Is there some kind of way i can keep them apart or at least remember them??

Click here to see answer by longjonsilver(2297)

Question 4261: 1 - How many handshakes can take place if there are 100 people and no one shakes hands twice?
2 - How many handshakes can take place if there are 100 married couples and husbands do not shake thands with their wives and women do not shake hands with each other?
A formula for each would be most helpful. Thanks!!
Click here to see answer by khwang(438)

Question 2524: Ahmad has enough money to buy 24 apples. If the price of each apple is reduced by 5 cents, he will be able to buy an extra 6 apples with the same amount of money.Find the original cost of each apple.
Click here to see answer by ntnk(54)

Question 3622: antonio is building a display for a local competion. he will use 2 wooden dowels.he knows that one dowel must be 32 cm longer than the other.he also knwos that the combined length of the rods is 52 cm. find the length of each rod. i dont know how to solve this problem!
Click here to see answer by ntnk(54)

Question 3511: antonio is building a display for a local competion. he will use 2 wooden dowels.he knows that one dowel must be 32 cm longer than the other.he also knwos that the combined lenght of the rods is 52 cm. find the lenght of each rod. i dont know how to solve this problem!
Click here to see answer by ntnk(54)

Question 2936: solve for x: b-2x=3b-4x

Click here to see answer by ntnk(54)

Question 4562: Please help me solve problem:
One number is twice the other. The sum of three times the smaller and two times the larger is 49. Find the numbers.
Click here to see answer by rapaljer(4667)

Question 4579: I had this problem that I had gotten wrong on a test. Can you help me figure out?
Graph the solution set of the following system of linear inequalities.
x + 4y > 8
y < 2
Lines under the greater/less than signs.
Click here to see answer by glitzgirl_14(11)

Question 4703: Could you please explain the word problem for me so that I can explain to my son, In a basketball game, Bob scored 3 times as many points as Albert. The difference in their point totals was 10. How many points did each boy score? Also, this is systems of equations in algebra and he also has to label variables, write equations, and solve the system. I half way understand these problems but not fully. PLEASE HELP!!!!

Thank You
Tonya Clark
Click here to see answer by longjonsilver(2297)

Question 4713: 4 small cheeseburgers & 3 orders of fries cost $11.45. Cost of 2 small cheeseburgers and 1 order of fries is $5.13. Set up a system of linear equations and solve to find the cost of each item.
Click here to see answer by rapaljer(4667)

Question 4714: perimeter of a rectangle is 22 inches and its length is 4 inches less than twice its width. Set up a system of linear equations and solve to find the dimensions of the rectangle.
Click here to see answer by xcentaur(357)

Question 4705: how many yards of material from a 24 yard length of cloth remains after 3 pieces each 31/2 yards long and 5 pieces each 2 1/4 long are removed/
Click here to see answer by liz2298(4)

Question 4704: Please show me how to answer these problems.
1. a student has earnerd scores of 87,81,and 88 on the first 3of 4 test. Id the student wants an avearage(arithmetic means) of exactly 87, what score must she earn on the fourth test.
2. what is the average (arithemtic means) of 8,7,7,5,3,2,and 2?
3. Ben is making wooden toys for the next art sale. Each toy costs Ben $1.80 to make. If the sells the toys for $3.00 each. How many will he have to sell to make a profit of exactly $36.00?
Click here to see answer by liz2298(4)

Question 4789: A soft-drink manufacturer has daily production costs of
C = 70,000 - 120x + 0.055x^2
where C is the total cost (in dollars) and x is the number of units produced. How many units should be produced each day to yield a minimum cost?
Click here to see answer by rapaljer(4667)

Question 4788: Find the number of units that produces a maximum revenue for
R = 800x - 0.01x^2
where R is the total revenue (in dollars) for a cosmetics company and x is the number of units produced.
Click here to see answer by rapaljer(4667)

Question 4797: I am not sure what this word problem is asking, it needs to be solved using systems of linear equations.
A manufacturer produces two modles of mountain bicycles.The times(in hours) required for assembling and painting are: Model A Model B
Assembling 5 4
Painting 2 3
The maximum total weekly hours available in the assembly department and the paint department are 200 hours and 108 hours, respectivley. The profits per unit are $25 for model A and $15 for model B. How many of each type should be produced to maximize profit?
Click here to see answer by Abbey(339)

Question 4578: Please help. I have 3 problems I can't figure out. I am to solve using most appropriate method. If the system does not have only one solution, indicate whether it is inconsistent or dependent.
first problem:
3x = -5y + 11
2y + x = 5
second problem:
1/4x + 1/2y = -1/2
1/2x + 1/4y = 5/4
Third problem:
1.2x + .4y = -.4
1.8x + 1.2y = .6
Click here to see answer by Abbey(339)

Question 4879: My question is a word problem.
I know it may sound very simple but I dont know how many variables I should use. How can I make this into an equation?
Word Problem: If 9% of the members buy tickets, then we will sell 252 tickets to this group?

Click here to see answer by rapaljer(4667)

Question 4881: I am asked if the following is True or False. And I am asked to explain my answer.
Question: A line with Slope 2 is perpendicular to any line with slope -2? True or False? And Why?
Click here to see answer by rapaljer(4667)

Question 4884: Jason earns $4.00/hour working after school and he earns $6.00/hour working on saturday. If he works 18 hours in a week and earned $88.00. How many hours did he work on saturday?
Click here to see answer by jainenderkapoor(61)

Question 4898: Adult tickets for a school fair cost $8 and children's tickets are half the price of an adult ticket. The amount of the adult tickets exceeds the children tickets by 200. How many adults attended this fair? The total receipts for this event are $3400
Click here to see answer by Abbey(339)

Question 4918: The price of a refirgerator is $1,200. If the rate of inflation in the next three year averages 3% per year and the real cost of the refrigerator remains unchanged in that time, what will the price of the refrigerator be in three years?
Click here to see answer by Abbey(339)

Question 5157: Leanna has $37 to spend in a record store. She can spend all of the money on two compact discs and a cassette, or she can buy one CD and two cassettes and have $5 left over. What is the price of a CD? What is the price a cassette?
Click here to see answer by Abbey(339)

Question 5227: I'll start by saying thank you in advance. I can't seem to figure out this problem:
Graph
x<2y
x+y<0
**I've tried solving for y and ended up with:
y>.5x
y<-x+0
Once I get there I can't seem to get an equation with a y-intercept and slope.

Click here to see answer by longjonsilver(2297)

Question 5226: We are working on Graphing, the slope of a line and the Slope Intercept format.
1) Given order pairs (points) of (- 4, - 2) and ( - 1,-5), develop an equation in the slope intercept format.
In the first ordered pair, x =-4 and -2.In the order pair,x=-1 and y=-5.
Second my answer must be the Equation in the Slope Intercept Format.To get this ,I must solve for the falues of "m" and "b" and substitute those values in the equation y = mx+b.
Click here to see answer by longjonsilver(2297)

Question 5300: A retailer spent $48 to purchase a number of mugs. Two of them were broken in the store, but by selling each of the remaining mugs for $3 above the original cost per mug, she made a total profit of $22.
If the price for n mugs is $48, how can I express the cost per mug?
The number of mugs that are available for sale?
Rewrite the equation from above in the standard form of a quadratic equation?
Click here to see answer by rapaljer(4667)

Question 5403: The cost to bake and sell x batches of delicious and nutritious Hostess Twinkies is given by this linear function: C(x)= 10x + 25
where C(x)is measured in units of thousands of dollars.
a) What is the total cost to bake and sell 20 batches of yummy Hostess Twinkies?
b) Which is the average cost for 20 batches of Twinkies?
c) If the total cost incurred is $575,000, how many batches of Hostess Twinkies were produced?
Click here to see answer by Abbey(339)

Question 5766: The vending machine on the fourth floor of your building sells bottles of soft drink at a price of $1 per bottle. Let X denote the number of bottles of soft drink sold each week.
A) What is the revenue function: R(x) = ?
B) If the fixed cost for the owner of this vending machine is $125 per week, and the wholesale cost of each bottle is 50 cents, what is the total cost function: C(x) = ?
C) What is the profit function: P(x) = ?
D) What is the Break- Even Point: BEP = ?
Click here to see answer by Abbey(339)

Question 5762: Seattle Star blends whole bean coffee worth $0.93 per pound with half bean coffee worth $1.20 per pound to get 30 pounds of a coffee blend worth $1.02 per pound. How many pounds of each type of coffee does she use?
Click here to see answer by guapa(62)

Question 5095: At what time after 7 o'clock will the hands of the clock be
a) together?
b) at right angle?
c) on a straight line?
Click here to see answer by CharStar(110)

Question 5836: R=C-5s/8d
Solve for c
Click here to see answer by Abbey(339)

Question 5761: On the opening night of the Broadway musical Miss Saigon, the Rhapsody Theater sold 800 total tickets. An advanced ticket costs $14.50 and a ticket at the door costs $22.00. In all. $16,640 was taken in. How many tickets were sold at he door?
Click here to see answer by Abbey(339)

Question 6220: a trader alows a discount of 10% on the marked price. However he still makes a profit of 17% on cost price.
Find (a) the profit % if sold at the merked price
(b) the profit % if he allows a discount of 5 % only on the marked price
Click here to see answer by ki(6)

Question 6187: Can u solve these problems by steps?
1 3/2x+4=-9
3/2x=-9-4

2 2(3x-7)+4x=26
3 4-3x=5-6x-7
8 solve the equations : y=2x+5 and 3x-2y=10
9 solve the equations : 6x-3y=11 and 6x+3y=17
10 solve the equations 3x+5y=22 and 4x+3y=11
Click here to see answer by hamda(7)

Question 6298: Problem Solving Using Systems of Equations

8x+9y=1030 x=1030-9y/8
1x+1y=120 1(1030-9y/8)+y=120

-1y=-70 or y=70 HOW DID I COME UP WITH 70?
Click here to see answer by xcentaur(357)

Question 6275: If you divide a iron rod that is 10m long into three equal pieces, what will be the length of each pieces? And if it wheighs 10kg and is equally divided into three pieces, what will be the weight of each piece?
Click here to see answer by IA(6)

Question 6420: can you solve these problems in step?
Set2
1. Solve the equation 5x+3y=-15, for x if y=0.
2. find the x- intercept for the equation 6x-y= -12
3. determine the equation of the line with slope -3 and containing (-7,2)
4. given the following , write an equation in standard form. The line has y-intercept 5 and slope 2
5. write an equation of the line in slope- intercept form if contains (-1,2) and ( 5, -4)
6. write an equation slope intercept form of the line that is parallel to the graph of 3y-4x=1 and passes through (0,6)
7. write the equation in standard form for the line that is perpendicular to the graph of y=5x+1 and has a y-intercept of 4.
8. write the equation of the vertical line that contains (-5,-4).
9. find the slope for the equation x-2y=6
10. for the equation x-2y=6, is the point (4,-1) on the line?

Click here to see answer by sabanasir(22)

Question 6498: 53x + 31y=1101
59x + 33y=1203
Click here to see answer by ichudov(499)

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