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

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Question 260522: On August 28, the Corwin family recieved 27 pieces of mail, consisting of magazines, bills, letters and ads. If they recieved the same number of magazines as letters, three more bills than letters, and five more ads than bills, how many magazines did they recieve? Write an algebraic equation. Solve your equation.
Click here to see answer by stanbon(57214)

Question 260563: Ashley won $5000 in a contest. She invested some of the money at 5% simple interest and $400 less than twice that amount at 6.5%. In one year, she earned $298 in interest. How much did she invest at each rate?
Click here to see answer by onlinetutor365.com(14)

Question 260397: find the slope, if it exists? x + 8y = 16
Click here to see answer by arab4life(3)

Question 260397: find the slope, if it exists? x + 8y = 16
Click here to see answer by Alan3354(30955)

Question 260648: The sum of two numbers is 54, and their difference is nine more than the smaller number. Find the numbers.
Click here to see answer by mananth(12270)

Question 260650: A garage owner wants to fill a 55-gallon drum with a 20% winter mixture of antifreeze for his customers. How many gallons of 100% antifreeze should he mix with some 10% antifreeze mixtures in order to fill the drum?
Click here to see answer by Fombitz(13828)

Question 260755: Find equations for 4 lines, none of them horizontal or vertical, which intersect at the vertices of a rectangle. What is true about the slopes of these lines? Thank you!
Click here to see answer by drk(1908)

Question 260649: A plane flying the 3020-mile trip from City A to City B has a 60-mph tailwind. The flight's point of no return is the point at which the flight time required to return to City A is the same as the time required to continue to City B. If the speed of the plane in still air is 430 mph, how far from City A is the point of no return? Round your answer to the nearest mile.
Click here to see answer by ankor@dixie-net.com(15623)

Question 260813: You need to choose between two telephone plans for local calls. Plan A charges $25 per month for unlimited calls. Plan B has a monthly fee of $13 with a charge of $0.06 per local call. How many local telephone calls in a month make Plan A the better deal?
I know that I am supposed to use the greater than and less than signs. Please help!!
Thank You!!!!
Click here to see answer by Theo(3458)

Question 260811: A truck can be rented from Basic Rental for $50 per day plus $0.20 per mile. Roadrunners charges $20 per day plus $0.50 per mile to rent the same truck. How many miles must be driven in a day to make the rental cost for Basic Rental a better deal than that for Roadrunners?
All I know is that I am supposed to used the greater than and less than signs.
Thank You!!!!!
Click here to see answer by checkley77(12569)

Question 260955: a square plywood platform has a perimeter which is 11 times the length of a side, decreased by 14. Find the length of a side.
Click here to see answer by drk(1908)

Question 260954: A 178-foot pipe is cut into two pieces, so that one piece is 46 feet longer than the other. How long is the longer piece?
Click here to see answer by drk(1908)

Question 260953: A red car is travelling 24 mph faster than a blue car. They left their respective cities, which are 650 miles apart, at the same time, and will arrive in the same city in 5 hours. Find the rate at which the red care is travelling.
Click here to see answer by Greenfinch(383)

Question 261047: Please help me.... I can't remember the basics for this problem:
A rectangle's length is 6 meters more than twice its width. The perimeter is 60 meters. Find the length in meters.
We aren't supposed to SOLVE the equation, just write each system of equation.
I got: 6+2(w)=60
is that correct?
Click here to see answer by Greenfinch(383)

Question 260957: A woman invested a total of $9000 in two accounts, one earning 6.5% annual interest and the other earning 8% annual interest. After 1 year, her combined interest was $678.87. How much did she invest in the account paying 8% interest?
Click here to see answer by checkley77(12569)

Question 260951: A station wagon leaves Seattle heading east at 40 mph. Three hours later, a Ferrari leaves Seattle on the same path as the station wagon, but going 95 mph. How many hours has the station wagon been traveling when it si caught by the ferrari?
Click here to see answer by checkley77(12569)

Question 261101: The number of calories in a piece of pie is 20 less than three times the number of calories in a scoop of ice cream. The pie and ice cream together have 500 calories. How many calories are in each?
I don't understand how to put the equation together.
Click here to see answer by stanbon(57214)

Question 261236: Which of the following equations represents a line l that goes through (12, 1) and has a slope of 1/4 ?
1. y = 1/4x
2. y = 1/4x + 2
3. y = 1/4x - 1/2
4. y = 1/4x - 2
Click here to see answer by richwmiller(9135)

Question 261256: An 85-mi trip to the beach took the Valenzuela family 2 hours. During the second hour, a rainstorm caused them to average 7 mph less than they traveled during the first hour. Find their average rate for the first hour.
Click here to see answer by stanbon(57214)

Question 261265: Find three consecutive integers such that the sum of the first integer and twice the second integer is 542 more than the third integer.
Click here to see answer by Stitch(352)

Question 261341: write this statement out as an equation and solve.
the number of minutes in an hour is the same as a number time three,minus three.
3n-3=177 n=60
Click here to see answer by stanbon(57214)

Question 261356: how do I answer this question I put it in and it still wrong
write this statement out as an equation & solve.
if you multiply a number by five and then add eight,the result is sixty-eight
5n+8=68
n=12
Click here to see answer by stanbon(57214)

Question 261209: 1.The sum of a number and its reciprocal is 10/3. Find the number.

Click here to see answer by Alan3354(30955)

Question 261381: I visited a beautiful flower garden yesterday and counted 26 flowers. Each flower was either red or yellow, and the flowers were not all the same color. My friend made the following observation: No matter which two flowers you might have picked, at least one was bound to be red. From this can you determine how many were red and how many were yellow?
Click here to see answer by solver91311(16868)

Question 261598: HEIGHT OF A BULLET: HEIGHT OF A BULLET SHOT INTO THE AIR IS GIVEN BY s(t)= -4.9t^2+ 98t+2, WHERE t IS THE NUMBER OF SECONDS AFTER IT IS SHOT AND s(t) IS IN METERS.

Click here to see answer by richwmiller(9135)

Question 261844: I need help setting up a linear system from a word problem. Here it is:
A father plans to distribute his estate, worth $234,000, among his four daughter as follows: 2/3 of the estate is to be split equally among the daughters. For the rest, each daughter is to receive $3,000 for each year that remains until her 21st birthday. Given that the daughters are each 3 years apart, how much would each receive from her father's estate? How old are the daughters now?
Any help would be greatly appreciated.
Click here to see answer by ankor@dixie-net.com(15623)

Question 261814: Dawn is a Seafood chef and can stuff a large party pack of shrimp in six hours. If her brother helps her, they can stuff the large party pack of shrimp in four hours. If Dawn gets sick, how long would it take her brother to stuff the large party of shrimp by himself?
Click here to see answer by checkley77(12569)

Question 262178: I have this multi-level equation i have to create with this information:
A publishing company will publish an authors book.
Estimated cost is $75,000 + $5.50 per book printed
Selling price is $15 per copy.
Publisher will retain 40 percent of the selling price as a commission, let X represent the number of copies printed and sold.
a) Find the Cost Function: C(x);
b) Find the Revenue Function: R(x);
c) Find the Profit Function: P(x);
d) How many copies must be sold to break even?
e) whats the profit of the company if 46,000 copies are sold?
Click here to see answer by Theo(3458)

Question 262217: the ratio of the greatest length of lake erie to the greatest length of lake michigan is 5:6
What is the length of each,if lake michigan is 50 miles longer than lake erie?
Click here to see answer by drk(1908)

Question 262276: The equation y = -1777x + 27,153 can be used to predict the number y of gun deaths in the U.S. x years after 2000, that is , x = 0 corresponds to 2000, x = 2 corresponds to 2002, x = 4 corresponds to 2004, and so on. Predict the number of gun deaths in 2004 and 2008. In what year will the numbver of gun deaths be 9383?
Click here to see answer by richwmiller(9135)

Question 262277: One number exceeds another by 9. The sum of the numbers is 3. What are the numbers?
Click here to see answer by CharlesG2(828)

Question 262355: I need help on finding an equation for this problem: A 29 inch rope is cut into 3 pieces, the middle sized piece is 1 inch longer than the shorter piece and the longest piece is twice as long as the short piece. How long is each piece?
Click here to see answer by solver91311(16868)

Question 262287: if two base angles of an isoceles triangle are equal in measure and the third angle is five times the measure of a base angle minus 9 degrees, what are the measures of each angle.
Click here to see answer by ankor@dixie-net.com(15623)

Question 262398: Constructing Equations
How do you construct this word problem as an equation?
Patrick has 15 bicycles and tricycles to sell. Altogether, there are 35 wheels on the bicycles and tricycles. How many of each cycle does Patrick have to sell?
Click here to see answer by drk(1908)

Question 262435: i dont understand how to set up an equation from a word problems , can you help me understand ?
Click here to see answer by richwmiller(9135)

Question 262633: what is: twenty less than a number is more than twice the same number?
Click here to see answer by unlockmath(1599)

Question 262620: Cheryl is 4 times as old as Josh. In 6 years, she will be 12 years older than Josh. What is each person's age now?
Click here to see answer by mananth(12270)

Question 262735: A=2HW+2LW+LH for H
Click here to see answer by stanbon(57214)

Question 262776: Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $20 one-time activation fee and charges 13 cents a minute. The second plan has no activation fee and charges 17 cents a minute. After how many minutes of long distance calls will the costs of the two plans be equal?
Click here to see answer by pinklipgloss2007(6)

Question 262901: you have 30 total items that consist of hats and boots. The total cost is$190.00
boots cost $9.00 and hats cost $5.00 how many of each are there?
Click here to see answer by drk(1908)

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