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

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Question 120378: A plane flies 720 miles against a steady 30 mph headwind and then returns to the same point with the wind, if the entire trip takes 10 hours what is the plane's speed in still air?
Click here to see answer by stanbon(57224)

Question 120493: If someone can help explain these two word problems in explicit detail I would greatly appreciate it!!!!
1. Donna invested her $33,000 bonus and received a total of $970 in interest after one year. If part of the money returned 4% and the remainder 2.25%, then how much did she invest at each rate?

2. Tickets for a concert were sold to adults for $3 and to students for $2. If the total receipts were $824 and twice as many adult tickets as student tickets were sold, then how many of each were sold?
Click here to see answer by stanbon(57224)

Question 120441: the perimeter of the rectangle is 34 cm. the perimeter of teh triangle is 30 cm. Find the values of m and n.
Shown rectangle with short side of m and long side n.
Right triangle with short side m, base n, and hypotenuse n+1.

Click here to see answer by ankor@dixie-net.com(15625)

Question 120672: Tickets for a train excursion were $120 for a sleeping
room, $80 for a berth, and $50 for a coach seat. The total ticket sales were $8600.
If there were 20 more berth tickets sold than sleeping room tickets and 3 times as
many coach tickets as sleeping room tickets, how many of each type of ticket were
sold?
So, I came up with a few equations and none of them are right. So far I have (x+120)+20(80x) +3x(x+120)=8600
I know I am way off.
Click here to see answer by rapaljer(4667)

Question 120626: a)whaat is 1 percent of 37?
b)what is 132 percent of 37?
Click here to see answer by nabla(475)

Question 120623: what decimal part of 480 is 60
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Question 120936: A consumer electronics company sells 6.7 million MP3 players per month at a price of $100 apiece; when the price is lowered to $80, the company sells 10.2 million players per month. How many MP3 players can the company expect to sell per month at a price of $75?
Click here to see answer by stanbon(57224)

Question 120993: The product of 10 and a number is the same as 36 less twice that same number. Finf the number.
Click here to see answer by praseenakos@yahoo.com(507)

Question 121162: A cyclist traveled at a rate of 24 mph to visit a nearby town. The cyclist averaged 18 mph on the return trip. If the round trip took 4.9 hours, find the distance to the nearby town? [I need the correct college algebra equation of the form D = rt]
Click here to see answer by checkley71(8403)

Question 121159: two consectutive odd intergers have a sum of 152. what are the integrgers?
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Question 121158: finding msrp what was the msrp for a hummer H1 that sold for $107,272 after an 8% discount?
Click here to see answer by checkley71(8403)

Question 121157: finding msrp what was the msrp for a hummer H1 that sold for $107,272 after an 8% discount?
Click here to see answer by stanbon(57224)

Question 121283: If 3 is added to a number and this sum is doubled, the result is 2 more than the number. Find the number.
Click here to see answer by checkley71(8403)

Question 121282: If four times a number is added to 8, the result is three times the number added to 5. Find the number.
Click here to see answer by checkley71(8403)

Question 121284: If 4 is added to twice a number and this sum is multiplied by 2, the result is the same as if the number is multiplied by 3 and 4 is added to the product. What is the number?
Click here to see answer by checkley71(8403)

Question 121286: The worlds most populous countries are China and India. As of mid-2005, the combined population of these two countries were estimated at 2.4 billion. If there were about 4/5 as many people living in India as China, what was the population of each country, to the nearest tenth of a billion?
Click here to see answer by checkley71(8403)

Question 121287: In her job as a mathematics textbook editor, Lauren Morse works 7.5 hr. a day. She spent a recent day making telephone calls, writing e-mails, and attending meetings. On that day, she spent twice as much time attending meetings as making telephone calls and spent 0.5 hr. longer writing e-mails and making telephone calls. How many hours did she spend on each task?
Click here to see answer by stanbon(57224)

Question 121291: If 4 is added to twice a number and this sum is multiplied by 2, the result is the same as if the number is multiplied by 3 and 4 is added to the product. What is the number?
Click here to see answer by solver91311(16868)

Question 121513: The world's most populous countries are China and India. As of mid-2005, the combined population of these two countries was estimated at 2.4 billion. If there were about 4/5 as many poeple living in India as China, what was the population of each country, to the nearest tenth of a billion?
Click here to see answer by Fombitz(13828)

Question 121516: The world's most populous countries are China and India. As of mid-2005, the combined population of these two countries was estimated at 2.4 billion. If there was about 4/5 as many people living in India as China, what was the population of each country, to the nearest tenth of a billion?
Click here to see answer by stanbon(57224)

Question 121652: The probability that San Francisco plays in the next Super Bowl is nine times the probability that they do not play in the next Super Bowl. The probability that San Francisco plays in the next super Bowl plus the probability that they do not play is 1. What is the probability that San Francisco plays in the next Super Bowl?
Click here to see answer by checkley71(8403)

Question 122136: The United States population (P) (in millions) can be modeled by the function P=2.683t + 213.1 where t is the number of years since 1975. In approximately what year will the population be 350 million?

I have already come up with 2026 by graphing it on my calculator, I just need to know whether or not it is right.

Click here to see answer by stanbon(57224)

Question 122131: A gym charges a $25 initial fee and $5 per visit. You were billed $200 at the end of the year. Write an equation that can be used to find the number of times, t, you visited the gym. How many times did you visit the gym?

I have already tried 200=5t+25 for the first one, but I don't think that it is right.
For the second one, I got 40, because 200/5= 40, but I am just checking with you to see if I am correct. I need the answers by Friday, the 25th.(1/25/08)

Click here to see answer by ankor@dixie-net.com(15625)

Question 122157: A two-digit number is 11 times its units digit. The sum of the digits is 12. Find the number.
Click here to see answer by bucky(2189)

Question 122158: On a canoe trip, Rita paddled upstream at an average speed of 2mi/h relative to the riverbank. On the return trip downstream, her average speed was 3mi/h. Find Rita's paddling speed in still water and the speed of the river's current.
We need the linear equation as well as the answer.
Click here to see answer by ankor@dixie-net.com(15625)

Question 122505: The perimeter of a rectangle is 50 cm. The length is 7 cm more than the width. Find the dimensions of the rectangle.
Click here to see answer by MathLover1(6617)

Question 122775: a) Show the steps that you would take to solve the following algebraically: 5-2/x-6=10-2x/x-6
b) What potential solution did you obtain? Explain why this is not a solution.

___________________________________________-
6) a) If y=sqrt x+2 , fill in the following table for x = 0, 1, 2, 3, 4. Round to three decimal places where necessary.

x y
0
1
2
3
4

Show your work here:

b) Explain why no negative values are chosen as values to substitute in for x.

c) Graph
thanks so much in advance

Click here to see answer by GSems22(3)

Question 122996: Please help me solve this problem. Five times the smaller of two numbers is equal to twice the larger. When the larger is doubled, it exceeds their original sum by 9. Find the numbers.
Click here to see answer by stanbon(57224)

Question 122877: 1. Nine woodchucks can chuck eight pieces of wood in 3 hours. How much wood can a woodchuck chuck in 1 hour?
2. By drawing two straight lines, divide the face of a clock into three regions such that the number in the regions have the same total.
3. Some children are standing in a circular arrangement. They are evenly spaced and marked numerical in order. The fourth child is standing directly opposite the twelfth child. How many children are in the circle?
Click here to see answer by ankor@dixie-net.com(15625)

Question 123065: Otis Taylor has a box of coins that he uses when playing poker with his friends. The box currently contains 44 coins, consisting of pennies, dimes, and quarters. The number of pennies is equal to the number of dimes and the total value is $4.37. How many of each denomination of coin does he have in the box.
the anwser is 17 pennies, 17 dimes and 10 quarters but i need to be shown how to get those anwsers
Thanks
Click here to see answer by stanbon(57224)

Question 123086: Mulder leaves Washington at 8:30 a.m. and averages 65 mph. His partner, Scully, leaves at 9:00 a.m., following the same path and averaging 68 mph. At what time will Scully catch up with Mulder?
The answer is 7:50 p.m. but I need to be shown how to get that answer. Thanks a bunch!
Click here to see answer by rajagopalan(158)

Question 123084: Lois and Clark are covering separate stories and have to travel in opposite directions. Lois leaves the Daily Planet at 8:00 a.m. and travels at 35 mph. Clark leaves at 8:15 a.m. and travels at 40 mph. At what time will they be 140 mi apart?
I'm not sure how to write the equation for this problem. Thanks
Click here to see answer by bucky(2189)

Question 123282:
painting is 10 inch tall and 15 in. wide. A print of the painting is 25 inch tall, how wide is the print.
16 2/3 in., 30 inch, 37 1/2 inch, 40 inch, 0r 60inch. ---answers
I said 37 1/2, is this right?
Click here to see answer by checkley71(8403)

Question 123202: a teacher tells students that a space shuttle weights about 440,000 lbs. at
liftoff. Students are unable to understand that weight.
Which weight could the teacher convert the weight, so kids can understand.
Bricks, elephants, metric tons, kilograms, aircraft carriers.
I selected aircraft carriers, Is this correct?
Or is it elephants?
Click here to see answer by scott8148(6628)

Question 123569: y=-3x+5
y=-4x-1
Click here to see answer by nadinadan(32)

Question 123690: Janelle has $2.81 in coins, all in pennies, nickels, dimes, and quarters. The number of nickels equals the number of dimes. There are 24 coins in all. In how many ways is this possible? List all possibilities. Note: this is not guess and check. You are expected to set up a system of equations and solve.
Click here to see answer by ankor@dixie-net.com(15625)

Question 123962: THE TALLEST PLAYER ON THE BASKETBALL TEAM IS 77 3/4 INCH TALL. THIS IS 9 1/2 INCH TALLER THAN THE SHOREST PLAYER. HOW TALL IS THE SHORTEST PLAYER.
Click here to see answer by checkley71(8403)

Question 123919: A small company produces both doll houses and sets of doll furniture. The doll houses take 3 hours of labor to produce, and the furniture sets take 8 hours. The labor available is limited to 400 hours per week, and the total production capacity is 100 items per week. Existing orders require that at least 20 doll houses and 10 sets of furniture be produced per week. Write a system of inequalities representing this situation, where x is the number of doll houses and y is the number of furniture sets. Then graph the system of inequalities.
Click here to see answer by ankor@dixie-net.com(15625)

Question 124146: Use two variable and the methods for solving word problems to solve:
The sum of two number is 40, one number is 8 more than the other. Find the
numbers
Click here to see answer by chitra(359)

Question 124363: Rectangular state: One side of a rectangular stage is 2 meters longer than the other. If the diagnonal is 10 meters, then what are the lenths of the sides?
Click here to see answer by Earlsdon(6287)

Question 124565: Your homemade chili has 12 fewer fat grams than your favorite restaurant's chili. This is 10 % less fat than the restaurant's chili. How many fat grams does the restaurant's chili have?
Click here to see answer by checkley71(8403)

Question 124749: This one confuses me. Its from the A+ program.
Sean earns $4.50 per hour more than his trainee, Tyrone. During one 8 hour day, they earn a total of $284. How much does Sean make per hour?
What I know so far is:
S = Sean T = Tyrone
T + $4.50 = S
(S + T)8 = $284
Click here to see answer by checkley71(8403)

Question 124940: One number exceeds three times a second number by 7. The sum of twice the larger number and four times the smaller nu
mber is 44. What are the numbers?
Click here to see answer by stanbon(57224)

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