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

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Question 221298: A coin operated washing machine contains $19.95 in nickels and quarters. If there is one less nickel than 3 times the number of quarters, how many of each are there?
Click here to see answer by drj(1380)

Question 221474: If Leah is 6 years older than Sue, and John is 5 years older than Leah, and the total of their ages is 41. Then how old is Sue?
I know the answer is Sue is 8 - but I need to know how it was solved?
Click here to see answer by user_dude2008(1861)

Question 221471: one number is 3 more than twice a second number. their sum is 27. find the numbers. (write an equation for this problem)
Click here to see answer by jim_thompson5910(28595)

Question 221471: one number is 3 more than twice a second number. their sum is 27. find the numbers. (write an equation for this problem)
Click here to see answer by drj(1380)

Question 221258: Diophantus a greek mathematician is considered by many as the "Father of Algeria" because of his works in the syncopation of algebra. In his epitaph, the following is scripted. "A sixth of his life was spent in childhood. A twelfth as a youth, and a seventh as a bachelor. Five years after his marriage, his son was born but died four years before his own death at half his age".
Click here to see answer by ankor@dixie-net.com(15656)

Question 221560: Hello my name is Wanda, I have been trying to solve this by using the substitution system.
The question is: A class of Math A 30 students contains twice as many girls as boys. Last Friday, when two of the boys were absent and all the girls were there, the number of girls tripled the number of boys. How many boys and how many girls are in the class?
These are the two equations I came up with. But I just can't make it work.
2G = B
3G = B - 2
I'd appreciate your help.
Click here to see answer by stanbon(57361)

Question 221732: In what fundamental way does the solution set of a system of linear equations differ from the solution set of a system of linear inequalities? Give examples, please

Click here to see answer by rapaljer(4667)

Question 221832: Advance tickets to a show cost , and same-day tickets cost . The total number of tickets sold was for total receipts of . How many tickets of each type were sold?

Click here to see answer by stanbon(57361)

Question 221863: The height of a projectile fired vertically nto the air (neglecting air resistance) at an initial velocity of 96 feet per second is a function of time, x, and is given by the equation f(x)=96-16x^2. Find the highest point reached by the projectile.

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Question 221892: 42.Two hundred and forty meters of fencing is available to enclose a rectangular playground. What should be the dimensions of the playground to maximize the area?

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Question 222050: If the equation y = -10 + 2.5x was plotted, what is the answer
Click here to see answer by rfer(12662)

Question 222092: I need to check and see if I got the right answer
1/5{1/2{3(s+7)^2/3]}40
I did not know how to write over 3, so I also tried to explain it here
1/5 { 1/2 [3(s+7)squared over 3]}40
my answer 4s^2+588

Click here to see answer by rapaljer(4667)

Question 222115: Please help me with this mproblem:
(2x+120)(2x+53)=9000
I have this:
9000=4x^2+240x+106x+6360
9000-9000=4x^2+346x+6360-9000
0=4x^2+346x+2640
I'm stuck after that because I can't get it to divide evenly.
Thanks,
Zach
Click here to see answer by checkley77(12569)

Question 181690: Two cars leave Denver at the same time and travel in opposite direction. One car travels 10m/h faster than the other car . the cars are 500 miles apart in 5 h. how fast is each car driving.
Click here to see answer by TR Tutoring(2)

Question 222540: A line has a slope of -2 and passes through the point (4, -9). Which is the equation of the line?
Click here to see answer by rfer(12662)

Question 222626: I am trying to translate this word problem into an equation so I can solve. The UCLA Bruins scored 16 fewer points than the Florida Gators. Together, both teams scored a total of 130 points. How many points did the Florida Gators score during the game? This is what I have started with -16-3+X=130 is this right? Or is it all wrong?
Click here to see answer by scott8148(6628)

Question 222709: Two numbers have a difference of 10 and a sum of 34. What are the numbers?
We came up with x+y=34 and y-x=10
If you plug in numbers, it would stand to reason that X=10 and Y=24 -- yet this doesn't seem like it is answering the question.

Click here to see answer by scott8148(6628)

Question 222807: Copy solutions rents a copier for $240 per month plus 1.8 cents per copy. A law firm needs to lease a copy machine for use during a special case that they anticipate will take 3 months. They allot a budget of $1500 for copying costs. How many copies can they make and stay within budget?
I have tried to work it out like this
240 + 1.8c = 1500 but I know that I am missing the fact that the 240 is a monthly rate. Please, any help would be appreciated. Thank you in advance.
Click here to see answer by ankor@dixie-net.com(15656)

Question 222968: A two digit number is equal to seven times the the sum of the digits. If 18 were subtracted from the number, the position of the digits would be reversed. Find the number.
Click here to see answer by brich(7)

Question 223257: the second number is 3 less than twice the first number. Their sum is 57. Find the second number.
Click here to see answer by drj(1380)

Question 223310: Nine years ago, Kimo was twice as old as Jennifer was then. In four years, Jennifer will be the same age that Kimo is now. How old is each of them now?
I have tried
2(x-9)=y
y+4=x
but i can't get it to work work.
thanks for the help
Click here to see answer by scott8148(6628)

Question 223326: I need help solving this quadratic equation:
Click here to see answer by Alan3354(30993)

Question 223417: I bought 12 apples and ate 2 of them and sold the rest for $.20 more per apple than I paid. My total profit was $1.00. How much did I sell each apple for?
Click here to see answer by rfer(12662)

Question 223314: Five years ago, Karma was one third as old as her father was then. In five years, Karma will be half as old as her father will be then. Find their ages now.
Click here to see answer by ankor@dixie-net.com(15656)

Question 223323: I need help solving this quadratic equation:
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Question 223555: A younger brother left his house on foot. Six minutes later his older brother followed him on a bicycle. If the younger brother is going 50 meters a minute and the older brother is going 200 meters a minute, how many minutes will it take for the older brother to catch up to the younger brother? Can you please explain how to solve this problem using a linear equation?
Click here to see answer by ankor@dixie-net.com(15656)

Question 223687: A movie theater charges $7.50 for adutls and $4.50 for children. The receipts for one showing of a movie were $540. If 80 tickets were sold, find how many tickets of each type were sold.
Click here to see answer by rfer(12662)

Question 223797: A mixture of dimes and quarters has a total value of $10.20. There are 57 coins in all. How many of each type are present?
Click here to see answer by drj(1380)

Question 223959: I need help solving this quadratic equation:
Click here to see answer by nerdybill(6962)

Question 223957: I need help solving this quadratic equation:
Click here to see answer by nerdybill(6962)

Question 223864: you are flying in a plane averaging 450 miles per hour. the distance, d, you travel is a function of the number of hours, h, you travel at that rate. write an equation to represent this function.
-thanks for the help(:
Click here to see answer by ankor@dixie-net.com(15656)

Question 224446: I need help with solving this quadratic equation:
Click here to see answer by chibisan(131)

Question 224143: A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will amount to $17,750 . The variable costs will be $12.75 per book. The publisher will sell the finished product to bookstores at a price of $19 per book. How many books must the publisher print and sell so that the production costs will equal the money obtained from sales?

Click here to see answer by ankor@dixie-net.com(15656)

Question 224501: A cable company charges $75 for installation plus $20 per month. Another cable company offers free installation but charges $35 per month. For how many months of cable service would the total cost from either company be the same?
a)2 b) 3 c) 5 d) 7
Click here to see answer by stanbon(57361)

Question 224581: A rancher raises five times as many cows as horses. If he has 168 animals, how many cows does he have?
Click here to see answer by checkley77(12569)

Question 224580: In 1993, the number of Americans dying from cancer was 6 times the number that died from accidents. If the number of deaths from these two causes totaled 630,000 how many americans died from each cause?
Click here to see answer by checkley77(12569)

Question 224664: Working together, Joanne, Kent, and Geoff can process 504 orders per day for their business. Kent can process 20 more orders per day than Joanne can process. Geoff can process 104 fewer orders per day than Kent and Joanne combined. Find the number of orders that each person can process per day.
Click here to see answer by ankor@dixie-net.com(15656)

Question 224734: Media Services charges $20 for a phone and $30/month for its economy plan.
Fin a model that determines the totak cost, C(t), of operating a Media /services phone for t months.
C(t)=_________
Click here to see answer by NYC Math Tutor(4)

Question 224720: the function,,gives the pressure in atm, at a depth d in the sea (dis feet), what is the pressure at 20 feet
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Question 224788: in order to achieve maximum results from aerobic exercise, one should maintain ones heart rate at a certain level. a 35 year old woman with a resting heart rate of 70 beats per minut should keep her heart rate between 139 and 162 beats per minute while exercising she checks her pulse for 10 seconds while exercising what should the number of beats be?
the number of beats in 10 sec should be between___and ____beats.
Click here to see answer by LtAurora(115)

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