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

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Question 403192: The perimeter of a square is 292 centimeters. How long is each side?
Click here to see answer by sofiyac(695)

Question 403224: A chemist has two solutions. one has 40% the other 25% concentrate. how many liters of each solution must be mixed to obtain 129liters of 34% solution??
I missed class yesterday n today n this question is on my homework n i have no idea how i would set it up. plz help....
Click here to see answer by josmiceli(9697)

Question 403309: Some children are standing in a circular arrangement. they are evenly spaced and marked in numerical order. the fourth child is standing directly opposite the twelfth child. how many children are in the circle?
Click here to see answer by jim_thompson5910(28598)

Question 403333: Suppose that the credit remaining on a phone card( in dollars) is a linear function of the total calling time( in minutes). When graphed, the function gives a line with a slope of -0.13. There is $22.60 in credit remaining on the card after 20 minutes of calls. How much credit was there after 8 minutes of calls?
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Question 403382: The consumers will demand 20 units when the price of a product is $69, and 33 units when the price is $50. Find the demand function (express thr price in terms of the quantity ), assuming it is linear.
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Question 403479: The maximum load that a horizontal beam can carry is directly proportional to its width. If a beam 1.5 inches wide can support a load of 250 pounds, find the load that a beam of the same type can support if its width is 3.5 inches.
Click here to see answer by stanbon(57407)

Question 403468: Two investments totaling $47,500 produce an anual income of $2,395. One investment yields 5%, while the other yields 7% per year. How much is invested at each rate?
I just have trouble telling what goes where and what formula to use. Thank you.
Click here to see answer by rfer(12670)

Question 403662: The sum of two numbers is 42. One number plus 2 times the other number is 57. What are the numbers?
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Question 403761: The highest waterfall in the world is Angel Falls in Venezuela at 1000 meters. Write an inequality that describes the height h (in meters) of every other waterfall. Graph the inequality.
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Question 403966: The value of a sport utility vehicle this year is $16,000, which is four-fifths of what its value was last year. Find the value of the vehicle last year.
Click here to see answer by rfer(12670)

Question 403968: Assume that the Dell Computer Corp. has increased its output of computers by 400 computers per month. This amount represents an 8% increase over last years production. Find the monthly output last year.
(It says the answer is 5000 computers but I don't know how to set up an equation to get to that)
Click here to see answer by rfer(12670)

Question 403970: The nutrition label on a bag of chips list the sodium content of one serving as 200mg, which is 8% of the recommended daily intake of sodium. What is the recommended daily intake of sodium? Express the answer in grams.
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Question 403981: A water flow restrictor has reduced the flow of water to 2 gal/min. This amount is 1 gal/min less than three-fifths the original flow rate. Find the original rate.
Click here to see answer by ankor@dixie-net.com(15661)

Question 404085: Solve the problem by stating the equation you would use to solve and then solving it. Be sure to show all of your work.
In a local election, 25,800 people voted. This was an increase of 5% over the last election. How many people voted in the last election? Round to the nearest whole person.

Click here to see answer by Algebra2you(12)

Question 404458: If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?
Click here to see answer by robertb(4012)

Question 404659: what will be the balance in an account and the interest earned on $5000 invested at 3 and 1/4 % compounded continuously for 5 years?
Click here to see answer by lwsshak3(6522)

Question 404677: I just can't seem to get how the word problems become equations.
John has $446. in ten-dollar, five-dollar, and one-dollar bills. There were 94 bills in all, and 10 more five-dollar bills than ten-dollar bills. How many one-dollar bills did John have?
Click here to see answer by richard1234(5390)

Question 404777: A theater has a seating capacity of 720 and charges $2 for children (x), $4 for students (y), and $6 for adults (z). At a certain screening with full attendance, there were half as many adults as children and students combined. The receipts totaled $3080. How many children attended the show?
Click here to see answer by stanbon(57407)

Question 404939: The perimeter of a standard high school basketball court is 268 ft. The length is 34 ft longer than the width. Find the dimensions of the court.
show the equation setup
Click here to see answer by IWork4Dessert(60)

Question 404904: write an equation of the line with slope = 7/8 and containing the point (6,3)
Click here to see answer by ankor@dixie-net.com(15661)

Question 405145: A farmer had some chickens and some cows. She counted 40 heads and 126 legs. How many chickens and how many cows did she have.
Click here to see answer by rfer(12670)

Question 405101: Three times the sum of a number and six is equal to twice the number. Find the number.
Click here to see answer by IWork4Dessert(60)

Question 405415: two angles are complementary. the sum of the measure of the first angle and half the second angle is 77 degrees. find the measure of the angles.
Click here to see answer by lwsshak3(6522)

Question 405660: I am having a hard time remembering this stuff from high school and could really use some help. My teacher gave us some r*t=d word problems but says the required work is a "data chart" So my problem is where to fit in the information from the word problem into a chart. The chart consists of 4 rows and 3 columns with r*t=d filling the three columns. Hope that makes sense.
The word problem is: Kathleen and Cade leave simultaneously from the same point hiking in opposite directions, Kathleen walking at 4mph and Cade at 5mph. How long can they talk on their walkie-talkies if the walkie-talkies have a 20 mile radius???
Click here to see answer by stanbon(57407)

Question 405662: I am having a hard time remembering this stuff from high school and could really use some help. My teacher gave us some r*t=d word problems but says the required work is a "data chart" So my problem is where to fit in the information from the word problem into a chart. The chart consists of 4 rows and 3 columns with r*t=d filling the three columns. Hope that makes sense.
The word problem is: Nedra and Latonya are 12 miles apart hiking toward each other. How long will it take them to meet if Nedra walks at 3mph and Latonya walks 1mph faster??

Click here to see answer by nerdybill(6963)

Question 405719: There are 27 students in an Algebra 1 class. There are 5 fewer girls than boys. How many girls are in the class?
Click here to see answer by stanbon(57407)

Question 405851: A property tax on a house with an assessed value of $480,000 is $5760. Determine the property tax on a house with an assessed value of $600,000, assuming the same tax rate.
Click here to see answer by rfer(12670)

Question 405996: Hello, could you be so, so nice and help me PLEASE??? Thank you so much.
Alena
When balancing her checkbook, Allison made an error which caused her to show a balance that was $ 54.00 above the actual balance. She had accidently reversed the digits of the amount of one check. The sum of the digits of that check amount was 12.
a) write two equations to represent this situation
b) what is the best method to use to solve this system? Why?
c) solve the equations to determine the true amount of the check.
Click here to see answer by mananth(12270)

Question 406187: Task: Write a linear equation to represent each situation.
11. My first test grade was 5 points less than my second test grade.
This is what i wrote down.... S=F-5
What was the sum of my two test grades?
Click here to see answer by ewatrrr(10682)

Question 406418: Luke has 5$ more than sam. Together they have $73. How much money does each boy have?
Click here to see answer by rfer(12670)

Question 406418: Luke has 5$ more than sam. Together they have $73. How much money does each boy have?
Click here to see answer by stanbon(57407)

Question 406438: THe number of grocery items on two grocery lists differs by 7. The total number of items is 33. How many items are on each list?
Click here to see answer by IWork4Dessert(60)

Question 407094: Write an equation and solve
The number of girls in the Swim club is 5 less than twice the number of boys.
There are 75 girls in the club. How many boys are in the club?
n2-5=75
Click here to see answer by stanbon(57407)

Question 407114: Susan solved one system of equations using substitution and reached an answer of 0 = 20 when solving for the first variable. What does this mean?
Click here to see answer by richard1234(5390)

Question 406853: At a basketball game, student tickets are sold for $4.50 each.
Write an equation that models the income y from the sale of x student tickets.
Click here to see answer by ewatrrr(10682)

Question 407093: One number is 18 more than the second number and their sum is 62
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Question 407447: Find the y-intercept for y=-4
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Question 407964: how many feet are in 1/10 of a mile

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Question 408092: i think of a pair of numbers.if i add 7 to the first.i obtain a number which is twice the second if i add 20 to the second.i obtain a number which is four times the first.what are the numbers?
Click here to see answer by ankor@dixie-net.com(15661)

Question 408190: building w 12 units consists of 1bedrooms costing 360 and 2 bedrooms costing 450 respectively. when all units are full total is 4950. how many 2bedroom units?
Click here to see answer by ewatrrr(10682)

Question 408220: I am stuck on a word problem and would appreciate any help.
An appraiser reports that Harolds house has lost 15% in value since he originally purchased the house. The appraiser valued his house at $185,500. Set up and solve a linear equation to find how much the house was purchased for ten years ago.

Click here to see answer by ewatrrr(10682)

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