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

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Question 422214: A garden supply store sells Two types of lawn mowers. Total sales of mowers for the year were $8379.70. The total number of mowers sold was 30. The small mower costs $249.99. The large mower costs $329.99. Find the number sold of each type of mower.
Click here to see answer by mananth(12270)

Question 422302: Peter can buy a high-effciency furnance for $2250 that costs $412 per year to operate. He may also buy a standard furnance for $1710 that costs $466 per year to operate. Find how long it will take for the two furnances to have the same cost. If Peter intends to live in his house for 7 years which furnance should he buy? What if he wants to live in his house for 20 years?
Click here to see answer by mananth(12270)

Question 422301: Joey makes 100 pounds of a coffee mix. Columbian coffee selling for $8.75 per pound is mixed with Brazilian coffee selling for $3.75 per pound. The final mix sells for $6.35 per pound. How much of each type of coffee is used in the mix?
Click here to see answer by mananth(12270)

Question 422299: Sammy paddles 24 miles downstream in 2 hours and he make the return trip in 3 hours. Find Sammy's paddling speed in still water and the speed of the current.
Click here to see answer by ewatrrr(10682)

Question 422376: A company that manufactures bicycle frames has determined that the monthly profit (in dollars) from the sale of x frames is given by
P(x) = – 0.05x3 + 1.5x2 + 5x – 13000
Find the number of frames that must be sold per month for the profit to be zero. For what x-values will the profit be positive?

i have some problem with solving this problem.
could you help me in details?...:)
Click here to see answer by stanbon(57361)

Question 422599: Hi - I'm in seventh grade and this is my first time here. I'm having problems with a word problem. It is:
Jolene bought three bloused at one price and 2 blouses priced $3 below the others. The total cost was $91.50. Find the prices of the blouses.
I need to write an equation and then solve it. I tried setting it up as: 3b + (2b - 3) = 91.50. I got b= $18.90, but it doesn't seem to work out.
Thanks for helping.
Scott
Click here to see answer by sudhanshu_kmr(1152)

Question 422707: write a function for this: no slope, 2 points: 11, 19 and -6, -15
Thank you
Click here to see answer by stanbon(57361)

Question 422778: I am having a problem turning this word problem into equation here the problem The instruction manual on the industrial oven suggests the oven temperature will increase by 55 degrees Fahrenheit per minute. When the oven is initially turned on, the temperature is 60 degrees Fahrenheit. What will the temperature of the oven be after 17 minutes? Write an expression, then solve and explain how you arrived at your answer.
Click here to see answer by htmentor(789)

Question 422738: I am trying to write equations to represent two phone plans. One plan is $20 with 30 minutes free and .10 for each additional minute. The second plan is $51 with 100 minutes free and .o4 for each additional minute. Then how can I compare the costs?
Click here to see answer by ankor@dixie-net.com(15652)

Question 422882: The sum of three numbers is 44. The second is three times the first and the third is 6 less than the first. find the numbers.
Click here to see answer by rapaljer(4667)

Question 422882: The sum of three numbers is 44. The second is three times the first and the third is 6 less than the first. find the numbers.
Click here to see answer by htmentor(789)

Question 422925: An Apartment building contains 12 units consisting of one- and two- bedroom apartments and they rent for $360 and $450 per month respectively. When all units are rented, the total monthly rental is $4950. what is the number of two bedroom apartments.

I Made two equations:
B+T= 12
360B+450T=4950
Click here to see answer by htmentor(789)

Question 423350: The area of a rectangle field is 9x^2 - 6xy + y^2 sq units. Find Expressions for length and breadth of the field. When x=12 units and y=6 units please evaluate length and breadth.
Click here to see answer by Theo(3464)

Question 423458: how do you solve this college algebra problems?:)?
i have answers but i don't know how to solve it. could you explain in details please?

A roasted turkey is taken from an oven when its temperature has reached 185oF and is placed on a table in a room where the temperature is 75oF.
a) If the temperature of the turkey is 150oF after half an hour, what is its temperature after 40 min?
b) When will the turkey cool to 90oF?

Click here to see answer by stanbon(57361)

Question 423843: Please help me solve the story problem : One solution contains 50% alcohol and another solution contains 80% alcohol. How many liters of each solution should be mixed to produce 10.5 liters of a 70% alcohol solution?
Click here to see answer by nerdybill(6959)

Question 423820: Please help me solve this word problem: It takes a freight train 2 hours more to travel 300 miles than it takes an express train to travel 280 miles. the rate of the express train is 20 miles per hour faster than the rate of the freight train. Find the rates of both trains.
I have been working on this problem for 3 days.
Click here to see answer by sudhanshu_kmr(1152)

Question 423876: Mary and I work together. I can work faster than Mary because she has arthritis. Because of her arthritis, Mary can only do .75 trays when I can 1.5 trays. We have a daily quoata of 8 trays to do daily. How many does Mary have to do.
I'm having a problem finding the other equation. I so far have .75a + 1.5b = 8
Click here to see answer by vleith(2825)

Question 423932: how would i make a coordinate plane and labe the axes when i have the cost of something and i have the miles
Click here to see answer by Alan3354(30993)

Question 423866: It costs a flat fee of $20 plus $5 per day to rent a pressure washer. Therefore the cost to rent a pressure washer for x days is given by y= 5x=20, where y is
in dollars. Express each of the following as an ordered pair.
A. When the washer is rented for 5 days, the cost is $45.
B. I payed $50 when i returned the washer, so I must have rented it for 6 days.
Click here to see answer by linht117(37)

Question 423919: Solve the problem.
Linda invests $25,000 for one year. Part is invested at 5%, another part at 6%, and the rest at 8%. The total income from all 3 investments is $1600. The income from the 5% amd 6% investments is the same as the income from the 8% investment. Find the amount invested at each rate.

Click here to see answer by mananth(12270)

Question 423947: need equation to calculae how many people in each seat. There are nine seats, holding a total of 24 passengers. There are 2 different seat sizes.
We actually know the answer. It's 6 seats with 3 people and 3 seats with 2 people. What we want to know is how to set it up in an equation to solve using algebra.
Click here to see answer by robertb(4012)

Question 424085: Height and Weight Suppose that the weight of a
person is directly proportional to the cube of the
person’s height. If one person weighs twice as much
as a (similarly proportioned) second person, by what
factor is the heavier person’s height greater than the
shorter person’s height?

Click here to see answer by mananth(12270)

Question 424063: Find the x and y intercepts and graph the equation plotting the intercepts. Please show all of your work.
5x-7y=-35
Click here to see answer by mananth(12270)

Question 424115: A little help please!?...
A company manufactures laptop computers that sells to retailers at $600. The cost of making x of these laptops for a month is given by the cost function C(x) = 350x + 215,000.
A. Find the function R(x) that gives the revenue from selling x laptops. (Your answer should be a linear function R(x) = ....)
B. Find the profit function P(x) for the above situation
C. Find the break even point for the above situation. That is, how many laptops must they sell per month to break even?
Thank you in advance!!
Click here to see answer by ankor@dixie-net.com(15652)

Question 424424: Find a number so that 10 less than two-thirds the number is one-fourth the number.
Click here to see answer by Gogonati(809)

Question 424440: please. could you explain in details for this college algebra problem?

The population of a certain endangered species of owl is declining exponentially. There are currently 450 living specimens, whereas just 8 years ago there were 12,000 . If the population continues to decline exponentially, how long will it be until there is only a single owl left?

Click here to see answer by nerdybill(6959)

Question 424569: PLEASE, PLEASE HELP!!! I AM HAVING SUCH TROUBLE WITH THIS ASSSINMENT AND REALLY NEED THE HELP BAD. OUT OF ALL MY OTHER SUBJECTS, MATH IS NOT MY STRONG SUIT SO I TEND TO STRUGGLE. I'M JUST TRYING TO PASS AND GET THROUGH IT. THANK YOU IN ADVANCED!!!!
BRIDGET

HERE IS THE ASSIGNMENT:

Hint: Pay attention to the units of measure. You may have to convert from feet to miles several times in this assignment. You can use 1 mile = 5,280 feet for your conversions.
1. Many people know that the weight of an object varies on different planets, but did you know that the weight of an object on Earth also varies according to the elevation of the object? In particular, the weight of an object follows this equation: , where C is a constant, and r is the distance that the object is from the center of Earth.
a. Solve the equation for r.
b. Suppose that an object is 100 pounds when it is at sea level. Find the value of C that makes the equation true. (Sea level is 3,963 miles from the center of the Earth.)
c. Use the value of C you found in the previous question to determine how much the object would weigh in
i. Death Valley (282 feet below sea level).
ii. the top of Mount McKinley (20,320 feet above sea level).
2. The equation gives the distance, D, in miles that a person can see to the horizon from a height, h, in feet.
a. Solve this equation for h.
b. Long’s Peak in Rocky Mountain National Park, is 14,255 feet in elevation. How far can you see to the horizon from the top of Long’s Peak? Can you see Cheyenne, Wyoming (about 89 miles away)? Explain your answer.

Click here to see answer by stanbon(57361)

Question 424665: Write a linear equation for the cost of each band.
Band A charges $250 plus $2.50 for each ticket sold
Band B charges $350 plus $1.25 for each ticket sold
Click here to see answer by MathLover1(6634)

Question 424731: The difference between two numbers is 36. The sum of these numbers is 62. Find the numbers.
Click here to see answer by Adrish(44)

Question 424727: Children's tickets to a movie cost $4. Adult tickets cost $7. If 275 tickets were sold for a total cost of $1174, how many of each type were sold?
Click here to see answer by mananth(12270)

Question 425092: I need help on where to begin. Even if you could just provide the correct formula I could go from there.
The length (in feet) of a stabilizing guy wire from the top of a vertical tower to its securing point on the horizontal ground is 26 times the number of letters in your last name. The distance (in feet) between the base of the tower and the securing point is 10 times the number of letters in your last name. What is the height of the tower rounded to the nearest foot.
My last name has 9 letters.
I apprecaite any help given. Thank you

Click here to see answer by Alan3354(30993)

Question 425120: Consider any unknown real number such that the square of the number decreased by eight times the number is negative three. Find the exact value of the numbers
Click here to see answer by stanbon(57361)

Question 425350: There are 11 animals in a barnyard. Some are chickens and some are cows. There are 38 legs in all.
Let x be the number of chickens
Let y be the number of cows
How many of each animal are in the barnyard?
Click here to see answer by Gersid(33)

Question 425492: the sum of the ages of joe and jim is 77. eight years from now, joe will be twice jim's age. find joe's present age?
Click here to see answer by shree840(260)

Question 425585: Given: 3x + y = 1.
Solve for y.
y = -3x + 1
y = -3x - 1
y = 3x - 1

Click here to see answer by asuar010(324)

Question 425822: The perimeter of a rectangle is 42 ft. The length is 3ft longer than the width. Find the dimensions. Write a system of linear equation and solve the resulting system. Let x be the length and y be the width.
Click here to see answer by linh117(31)

Question 425571: The volume V of a cylinder with a fixed height is directly proportional to the square of its radius r. If a cylinder with a radius of 10 inches has a volume of 200 cubic inches, what is the bolume of a cylinder with the same height and a radius of 5 inches?
Click here to see answer by ankor@dixie-net.com(15652)

Question 425882: Steve invests in a circus production. The coast includes an overhead of $81,000, plus production costs of $7,000 per performance. A sold-out performance brings in $16,000, Determine the number of sold-out performances, x, needed to break even.
Click here to see answer by Theo(3464)

Question 425938: A and B are running on a track having 8 laps to a mile. If they run in opposite directions, they meet every 20s. If they run in the same direction, it requires 3mins for A to overtake B. Find the rate of each in feet per second.
Click here to see answer by ankor@dixie-net.com(15652)

Question 425984: The solution of the equation 7y-6=7y+3 is zero, true/false
Click here to see answer by richard1234(5390)

Question 425983: Which one of these is not a linear equation:
6y^2-3y+1 = 0
0.07x-0.09x=0.57
5t-11t=-6t
7x+9(x-2)=-5x
none of the above
Click here to see answer by Theo(3464)

Question 425996: A company produces three products, x, y, and z. Each item of product x requires 20 units of steel, 2 units of plastic, and 1 unit of glass. Each item of product y requires 25 units of steel, 5 units of plastic, and no units of glass. Each item of product z requires 150 units of steel, 10 units of plastic, and 0.5 units of glass. The available amounts of steel, plastic and glass are, respectively, 2550, 290, and 34. How many items of each type can the company produce and utilize all the available raw materials?
Click here to see answer by ewatrrr(10682)

Question 426075: Write the equation for this situation. The population, p, in the thousands, can be approximated by the sum of 5 and one third times the years since 1985, d. Then graph the equation and use the graph to determine the popluation in the town in 1995. Please show all of your work.
Click here to see answer by ewatrrr(10682)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830