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

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Question 184250: Student Council wants to rent a banquet hall for the prom. Caesar's charges $800 to rent the room and $30 for each meal. Venus Hall charges $500 to rent the room and $35 for each meal. How many guests must attend the prom for the costs of the two halls to be the same?
Click here to see answer by checkley77(7035)

Question 184248: Explain why you might need to multiply each equation by a different number when solving a system by Elimination. Explain why.
Click here to see answer by jeselle(2)

Question 184244: Karim took 7 hours to drive 680km. The first part of the trip, he drove at 80km/h. He then increased his speed by 30km/h for the remainder of the trip. How far did he drive at each speed?
Click here to see answer by PoCTo(1)

Question 184332: A lion eats one sheep in 4 hours, a leopard eats one sheep in 5 hours, and a bear eats one sheep in 6 hours. How long would it take the three animals together to eat one sheep? HINT: How much of one sheep do they eat together in one hour?
Click here to see answer by Alan3354(6059)

Question 184327: A man will be three times as old as his son will be in nine years. If he is six times as old as his son is now, how old is the SON? .
What I have come up with is as follows.
3n+9 = 6n
But I am not positvie this equations even works, thanks for the help.
Click here to see answer by scott8148(3382)

Question 184339: a) The sales representative here tells you they also have two floor plans available, but they only have 38 homes available. Write an equation that illustrates the situation. Use x and y to denote floor plan #1 and floor plan #2 respectively
b) The representative tells you that floor plan #1 sells for $175,000 and floor plan #2 sells for $200,000. She also mentions that all the available houses combined are worth $7,200,000. Write an equation that illustrates this situation. Use the same variables you used in part a
c) Use elimination to determine how many houses with each floor plan are available. Explain how you arrived at your answer.

Click here to see answer by stanbon(26259)

Question 184354This question is from textbook introductory and intermediate algebra

: This is on page 542 number 9
The question is Find an equation of the line containing the point(5,4) and perpendicular to the line 2x - 4y = 12
I tried to solve this and this is how I did it
2x - 4y = 12
-2x -2x
-4y = -2x + 12
then i divided both side by -4
y = 4/2x + -3
so then I plugged that in to the next equation
y - 4 = 4/2(x - 5)
y - 4 = 4/2x -20/5
then I added 4 to both sides
y = 4/2x - 0
I got this wrong and I do not understand how I did it wrong can you please try to help me?This question is from textbook introductory and intermediate algebra

Click here to see answer by solver91311(5072)

Question 184597: Write a system of equations that has the point (3,2) as the only solution. How do you do that?
Click here to see answer by user_dude2008(715)

Question 184605: For what values of c will the system have:
infinitely many solution
1) 2x - 6y = c
6x - 18y = 30
2)no solution
x + 2y = 6
cx - 4y = 8

How do you do these questions? Can you explain how?
Click here to see answer by vleith(1977)

Question 184635: The line Ax + By =8 passes through the points (2,1) and (4,-2). Find the values of A & B. Show work please.
Click here to see answer by solver91311(5072)

Question 184635: The line Ax + By =8 passes through the points (2,1) and (4,-2). Find the values of A & B. Show work please.
Click here to see answer by stanbon(26259)

Question 184636: Solve for x and y.
bx + ay = 2ab
bx - ay = 4ab

Click here to see answer by ankor@dixie-net.com(6691)

Question 184688: If you sell n markers at price p, your income will be their product n x p. Use formula -125p+500=n to find a formula in terms of p only.
I= n x p=_________
Click here to see answer by stanbon(26259)

Question 184760: Can you please help me with this word problem: Admission prices to a move are $4 for children and $7 for adults. If 75 tickets were sold for $456, how many of each type were sold?
I tried working out the problem but no luck.
Thank you
Click here to see answer by checkley77(7035)

Question 184909: colored copies cost 10cent per copy and white copies cost 5cent per copy.
Sandy made 400copies, some of which were colored and the rest white.
her total bill was $22.50.
how many colored copies and how many white copies did she make?
Click here to see answer by jojo14344(1483)

Question 184910: four pencils and five pens cost $2.00.
three pencils and four pens cost $1.58.
find the cost of a pencil and the cost of a pen
Click here to see answer by jojo14344(1483)

Question 184908: TOGETHER A SKATEBOARD AND A BICYCLE COST $199.OO .
THE SKATEBOARD COSTS $51.00 LESS THAN THE BICYCLE.
HOW MUCH DOES EACH COST?
Click here to see answer by jojo14344(1483)

Question 184911: an airplane flew for 5 hours with a tail wind of 25 km/h.
the return flight against the same wind took 5.5 hours.
find the speed of the airplane in still air.
Click here to see answer by checkley77(7035)

Question 184974: Melanie's weight is equal to the weight of 20 rabbits.The weight of 50 rabbits is equal to the weight of 3 goats.The weight of 15 goats is equal to the weight of 12 horses.The weight of 20 horses is equal to the weight of 12 cows.
The weight of 60 goats is equal to how many times the weight of Melanie.?????????????The weight of 24 horeses is equal to how many times the weight of Melanie???????The weight of 48 cows is equal to how many times the weight of melanie???PLZZZZZZZZZZ ANSWERRRRRRRRRRRRR HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP .FOR GODDDDDDDDD SAKEEEEEEEEE !!!!!!!!!!!!!!!!!!! VERY IMPORTANT !!!!!!!!!!
Click here to see answer by jim_thompson5910(13787)

Question 185008: Find two consecutive intergers whose sum is -313.
Click here to see answer by alaccalac(13)

Question 184965: a garage owner wants to fill a 55 gallon drum with a 20 percent winter mixture of antifreeze for his customers. how many gallons of 100 percent antifreeze should he mix with some 10 percent antifreeze mixture in order to fill the drum
Click here to see answer by Earlsdon(4898)

Question 185039: please help me with this word problem thank you

The ratio of foxes to rabbits in the Deerfield Forest Preserve is 2 to 9. If
there are 35 fewer foxes than rabbits, then how many of each are there?
Click here to see answer by stanbon(26259)

Question 185058: Different weights. Professor Williamson counts his midterm as 2/3 of the grade and his final as 1/3 of the grade. Wendy scored only 48 on the midterm. What range of scores on the final exam would put Wendy’s average between 70 and 79 inclusive? Compare to the previous exercise which is (Going for a C.) Prof gives only a midterm and final. The semester avg is computed by taking 1/3 of the midterm exam score plus 2/3 of the final exam score, to get a C Stacy must have a sem avg between 70 and 79 inclusive. If Stacy scored only 48 on the midterm then for what range of scores on the final exam will Stacy get a C?
I cannot understand thie word problem at all ... can anyone help shed some light on the subject for me? Thanks so much for your help
Click here to see answer by solver91311(5072)

Question 185061: please help me solve this word problem thank you.
junior's boat will go 15 miles per hour in still water. If he can go 12 miles
downstream in the same amount of time as it takes to go miles upstream, then what is the speed of the current.
Click here to see answer by Alan3354(6059)

Question 185078: please help me solve this word problem thank you.
junior's boat will go 15 miles per hour in still water. If he can go 12 miles
downstream in the same amount of time as it takes to go 9 miles upstream, then what is the speed of the current.:
Click here to see answer by solver91311(5072)

Question 185146: THE ATTENDANCE AT A SCHOOL CONCERT WAS 578.
ADMISSION COST $2.00 FOR ADULTS AND $1.50 FOR CHILDREN.
THE RECEIPTS WERE $985.00.
HOW MANY ADULTS AND HOW MANY CHILDREN ATTENDED THE CONCERT?
Click here to see answer by jigs_ipan(5)

Question 185145: SUNSHINE TRUCK RENTALS RENTS A TRUCK AT A DAILY RATE OF $57.99 PLUS 48CENTS PER MILE.
CITY RENTALS RENTS THE SAME SIZE TRUCK AT $58.95 PLUS 46CENTS PER MILE.
FOR WHAT MILEAGE IS THE COST THE SAME?
Click here to see answer by vleith(1977)

Question 185142: THE SUM OF THE DIGITS OF A TWO-DIGIT NUMBER IS 12.
IF THE DIGITS ARE REVERSED THE NEW NUMBER IS 18 LESS THAN THE ORIGINAL NUMBER.
FIND THE ORIGINAL NUMBER.
Click here to see answer by vleith(1977)

Question 185135: LORENA BOUGHT 10 PACKS OF STYROFOAM CUPS FOR THE GRADUATION DANCE.
A PACK OF FIFTY 12-0Z CUPS COSTS $1.80 AND A PACK OF FIFTY 16OZ CUPS COSTS $2.40.
LORENA PAID A TOTAL OF $21.60 EXCLUDING TAX.
HOW MANY PACKS OF EACH SIZE CUP DID SHE BUY?
Click here to see answer by checkley77(7035)

Question 185133: SAFDTY RENT-A-TRUCK RENTS A TRUCK AT A DAILY RATE OF $41.95 PLUA 29CENT PER MILE.
CITY RENTALS RENT THE SAME TRUCK FOR $38.95 PLUS 31CENT PER MILE.
FOR WHAT MILEAGE IS THE COST THE SAME?
Click here to see answer by checkley77(7035)

Question 185129: THE SUM OF TWO NUMBERS IS 27. ONE HALF OF THE FIRST NUMBER PLUS ONE THIRD OF THE SECOND NUMBER IS 11. FIND THE NUMBERS.
Click here to see answer by checkley77(7035)

Question 185057This question is from textbook Algebra - Structure and Method - book 1

: The sum of two numbers is 25 and their difference is 7. Find the numbers.This question is from textbook Algebra - Structure and Method - book 1

Click here to see answer by checkley77(7035)

Question 185238: I need to solve the following word problem, I have to show the equation I use for the solution.

One number is 7 less than another. If 4 times the smaller number plus 2 times the larger number is 62, find the two numbers.
I just don't get these at all. Thanks, Dawn
Click here to see answer by solver91311(5072)

Question 185260: When Sarah was born her mother was 23. In three more years sarahs mother will be twice sarahs age now. How old are they now?
Click here to see answer by ankor@dixie-net.com(6691)

Question 185353: It is 76 degrees F at the 6000-foot level of a mountain, and 49 degrees F at the 12000-foot level of a mountain. Write a linear equation to find the temperature T at an elsevation e on the mountain, where e is in thousands of feet.
Click here to see answer by ankor@dixie-net.com(6691)

Question 185428This question is from textbook
: The amount of time it takes a flame to go out in a closed contanier is a linear function of the volume of the container. A flame in a 656 mL container takes 12 seconds to go out and a flame in a 1353 mL container takes 29 seconds. Find the linear model that describes this situation. Express your result in slope-intercept form.This question is from textbook

Click here to see answer by jojo14344(1483)

Question 185444: A grocer wishes to mix some nuts worth $2 a pound with some worth $5 a per pound to make 480 pounds of a mixture to sell at $3 per pound. How many pounds of each should be used?
Click here to see answer by checkley77(7035)

Question 185443: Together, a bat, ball, and glove cost $70.00. The bat costs $10 more than the ball, and the glove costs $20 more than two balls. How much does each cost ?

Click here to see answer by nerdybill(2446)

Question 185483: ok trying to help my sis again can you please help thank you
consider the set of northwestern state or provinces {Montana,washington,Idaho,oregon,Alaska,British columbia, alberta} If a person chooses one element, show that in three yes or no questins, we can determine the element

Click here to see answer by vleith(1977)

Question 185450This question is from textbook beginning algebra
: In Canada, eastbound and westbound trains travel along the same track, with sidings to pull onto to avoid accidents. two trains are now 150 miles apart, with the westbound train traveling twice as fast the eastbound train. A warning must be issued to pull one train onto a siding or else the trains will crash in 1-1/4 hours. Find the speed of the eastbound train and the speed of the westbound train.This question is from textbook beginning algebra

Click here to see answer by Alan3354(6059)

Question 185538: Seven times the reciprocal of a number plus five times the reciprocal fo the number equals four. Find the number
Click here to see answer by nerdybill(2446)

Question 185604: the sum of the numerator and the denominator of a fraction is equal to 7 .four times the numerator is 8 less than 5 times the denominator . find the fraction?
Click here to see answer by ankor@dixie-net.com(6691)

Question 185565This question is from textbook Introductory and Intermediate Algebra
: PLease help me solve this problem..would appreciate your help..THanks in advance
"The line the same y-intercept as the line whose equation 2y=6x+8 and is parallel to the line whose equation is 4x+4y=20."

kattieThis question is from textbook Introductory and Intermediate Algebra

Click here to see answer by ankor@dixie-net.com(6691)

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