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

Tutors Answer Your Questions about Linear Equations And Systems Word Problems (FREE)

Question 70354: You have at least $30 in change in your drawer, consisting of dimes and quarters. Write an inequality that shows the different numbers of coins in your drawer.
Click here to see answer by Edwin McCravy(8924)

Question 70484: Evaluate. 21 ÷ 3 – 3 ÷ 3
Click here to see answer by checkley75(3666)

Question 70453: (I tried to help my daughter with this problem using her new system of diagrams/boxes. It's from a class handout. I'm afraid it's been too long since my last algebra class for me to help out. Thanks.)
Dennis had a certain sum of money and he spent $100 on books. He gave 2/3
of the remainder to his mother and saved the rest. If he saved 3/10 of the
total amount he had at first, how much did he give to his mother?
Click here to see answer by ankor@dixie-net.com(15667)

Question 70489: An airplane took 2.5 hours to fly 625 miles with the wind. It took 4 hours and 10 minutes to make the return trip, against the same wind. Find the wind speed and the speed of the plane in still air.
Against a head wind, Jeff computes his flight time for a trip of 2,900 miles at 5 hours. The flight would take 4 hours and 50 minutes if the head wind was half as much. Find the head wind and the planes air speed.
In 1927 Charles Lindburg flew the Spirit of St. Louis from NYC to Paris at an average speed of 107.4mi/h. 11 years later, Howard Hughes flew the same route, averaged 217.1 mil/h, and took 16 hours and 57 minutes less time. Find the length of their route.

Click here to see answer by piglet162431(90)

Question 70502: Solve the following:
Find the slope of the line passing through the points (3, 4) and (3, –4).
Click here to see answer by checkley75(3666)

Question 70502: Solve the following:
Find the slope of the line passing through the points (3, 4) and (3, –4).
Click here to see answer by madmaths(2)

Question 70412: Can you please explain...instructions.
Tickets for a play at the community theater cost $20 for an adult and $8 for a child...if 220 tickets were sold and the total receipts were $3200, how many of each type of ticket were sold.
20x + 8y = 3200
Click here to see answer by ptaylor(2048)

Question 70733: A bicyclist rode into the country for 5 h. In returning, her
speed was 5 mi/h faster and the trip took 4 h. What was her speed each way?
Click here to see answer by bucky(2189)

Question 70734: A bus leaves a station at 1 P.M., traveling west at an average
rate of 44 mi/h. One hour later a second bus leaves the same station, traveling
east at a rate of 48 mi/h. At what time will the two buses be 274 mi apart?
Click here to see answer by checkley75(3666)

Question 70736: There are 850 Douglas fir and ponderosa pine trees in a section of forest bought by Sawz Logging Co. The company paid an average of $300 for each Douglas fir and $225 for each ponderosa pine. If the company paid $217,500 for the trees, how many of each kind did the company buy?
Click here to see answer by checkley75(3666)

Question 70735: Martina leaves home at 9 A.M., bicycling at a rate of
24 mi/h. Two hours later, John leaves, driving at the rate of 48 mi/h. At what time will John catch up with Martina?
Click here to see answer by checkley75(3666)

Question 70881: A video game manufacturer is planning to market a 64-bit version of its game machine. The fixed costs are $570000 and the variable costs are $110 per machine. The wholesale price of the machine will be $130.
How many game machines must be sold for the company to make a profit?
How many game machines must be sold for the company to break even?

Click here to see answer by mathman409(67)

Question 70935: can you help me factor this problem
8m^2-32
Click here to see answer by stanbon(57424)

Question 70934: Can you tell me if I Factor this problem right
K^3-125
(K-5)(K^2+5K+25)
K^3+5K^2+25K-5K^2-25K-125
K^3-125
Click here to see answer by stanbon(57424)

Question 70950: can you help me understand this problem
find the center and the radius of the circle
x^2+6x+y^2-12y+20=0
Click here to see answer by bucky(2189)

Question 71094: Enrique puts 12% of his monthly paycheck in an IRA. If he invests $72 in his IRA, how much was his paycheck?
Click here to see answer by checkley75(3666)

Question 71093: Find two consecutive integers such that the sum of 2 times the first integer and 4 times second integer is 46.
Click here to see answer by checkley75(3666)

Question 71092: The perimeter of a rectangle is to be no greater than 300 in., and the length must be 125 in. Find the maximum width of the rectangle.
Click here to see answer by checkley75(3666)

Question 71091: The length of one of the equal legs of an isosceles triangle is 8 cm less than 4 times the length of the base. If the perimeter is 29 cm, find the length of one of the equal legs.
Click here to see answer by checkley75(3666)

Question 71138: Student need an average of 70 or more to receive credit for the course. She scored 82, 64, and 98 on the first three exams. Write an inequality representing the score she must get on the last test to receive credit for the course.
Click here to see answer by Earlsdon(6291)

Question 71200: A principal of $5000 was invested in a savings account for 4 years. If the interest earned for the period was $400, what was the interest rate?
Click here to see answer by hailu(13)

Question 71199: 2/5x=-10
Click here to see answer by checkley75(3666)

Question 71197: 6x + 4(3x – 2) = 6x + 2
Click here to see answer by checkley75(3666)

Question 71196: –3(10x – 3) + 10(3x – 3) = x – 7
Click here to see answer by elima(1433)

Question 71172: Find the equation of the line that is parallel to the graph of y=(-3/4)x+3 and whose y intercept is -2.
There's nothing to this one but observation. I assume you know the b in y=mx+b is the y-intercept. If lines are parallel then their slopes are the same.
Therefore, your equation is
Click here to see answer by galactus(183)

Question 71356: A grain-storage warehouse has a total of 30 bins. Some hold 20 tons of grain each, and the rest hold 15 tons each. How many of each type of bin are there if the capacity of the warehouse is 510 tons?
Click here to see answer by checkley75(3666)

Question 71366: With a head wind, a plane traveled 1000 mi in 4 h. With the same wind as a tail wind, the return trip took 3 h 20 min. Find the plane's air speed and the wind speed.
Click here to see answer by checkley75(3666)

Question 71378: Two isoceles triangles have the same base length. the legs of one of the triangles are twice as long as the legs of the other. Find the lengths of the sides of the triangles if their perimeters are 23cm and 41cm. PLEASE HELPPP !!!
Click here to see answer by josmiceli(9698)

Question 71362: A grain storage warehouse has a total of 30 bins. Some hold 20 tons of grain each, and the rest hold 15 tons each. How many of each type of bin are there if the capacity of the warehouse is 510 tons?
Click here to see answer by josmiceli(9698)

Question 71361: Two isoceles triangles have the same base length. The legs of one of the triangles are twice as long as the legs of the other. Find the lengths of the sides of the triangles if their perimeters are 23cm and 41cm.
Click here to see answer by ankor@dixie-net.com(15667)

Question 71435: Solve the following word problem. Be sure to show the equation you use for the solution.
Science and medicine. A bicyclist rode into the country for 5 h. In returning, her speed was 5 mi/h faster and the trip took 4 h. What was her speed each way?

Click here to see answer by Earlsdon(6291)

Question 71569: Solve the following word problem. Be sure to show the equation you use for the solution and your work.
Science and medicine. Martina leaves home at 9 A.M., bicycling at a rate of 24 mi/h. Two hours later, John leaves, driving at the rate of 48 mi/h. At what time will John catch up with Martina?

Click here to see answer by galactus(183)

Question 71570: Solve the following word problem. Be sure to show the equation you use for the solution and your work.
A common mistake when solving equations is the following:
The equation: 2(x - 2) = x + 3
First step in solving: 2x - 2 = x + 3
Write a clear explanation of what error has been made. What could be done to avoid this error?

Click here to see answer by checkley75(3666)

Question 71567: Solve the following word problem. Be sure to show the equation you use for the solution and your work.
Geometry. The length of a rectangular playing field is 5 ft less than twice its width. If the perimeter of the playing field is 230 ft, find the length and width of the field.
This is what I have so far.
2*w -5ft=L
P=230ft

Click here to see answer by checkley75(3666)

Question 71571: I need help with the following question please:
In an Individual Retirement Account(IRA) valued at $53,900, a couple has 500 shares of stock, some in Big Bank Corporation and some in Safe Savings and Loan. If Big Bank sells for $115 per share and Safe Savings Sells for $97 per share, how many shares of each does the couple own?

Click here to see answer by ankor@dixie-net.com(15667)

Question 71803: I really need help with the promblem r-3p=1
6r-p=6
Its like everytime i try i can't never find the right anawer for it so can oplease help with this math promblem
Click here to see answer by stanbon(57424)

Question 71873: henry bicycled around a track in 3 minutes 43.6 seconds.the next day he cycled around the same track in 3 minutes 40.8 seconds. by how many seconds did henry improve his time
Click here to see answer by tutorcecilia(2152)

Question 71862: My daughter brought this problem home. She seems lost and I have no clue how to help her. My math skills are really rusty it seems. Here's the problem:
In order to hunt hippopotamuses, a hunter must have a hippopotamus hunting license. Since the hunter can sell the hippos he catches, he can use the proceeds to pay for part or the entire license. If he catches only 3 hippos, he is still in debt by $2050. If he catches 7 hippos he makes a profit of $1550. The African Game and Wildlife Commission allows a limit of 10 hippos per hunter.
We're asked to define the independent and dependent variables. I figured that the profit is a dependent upon the number caught.
The cost of the license is independent - right?
Where I can't even get a clue is how to plot points on a straight line for this problem
and
how to find the y intercept and slope of the line.
please help.
Click here to see answer by bucky(2189)

Question 71908: You have asked your boss for a raise. He tells you that you are already the highest paid employee. You want to find out how much everyone else makes. the information you have is the following:
Monday - Al works 2 hours/ Cal works 4 hours/ Jim works 6 hours/ Tim works 5 hours/ You work 3 hours/ the total payroll for the day = $182.00
Tuesday - Al works 2 hours/ Cal works 0 hours/ Jim works 6 hours/ Tim works 0 hours/ You work 3 hours/ total payroll for the day = $87.00
Wednesday - Al works 2 hours/ Cal works 4 hours/ Jim works 0 hours/ Tim works 0 hours/ You work 3 hours/ total payroll = $79.00
Thursday - Al works 2 hours/ Cal works 0 hours/ Jim works 0 hours/ Tim works 5 hours/ You work 3 hours/ total payroll = $94.00
Friday - Al works 2 hours/ Cal works 4 hours/ Jim works 0 hours/ Tim works 5 hours/ You work 0 hours/ total payroll = $113.00
What is everyone's houly rate?
I tried to make this into equations for each day such as:
2a + 4c + 6j + 5t + 3y = 182 and 2a + 6j + 3y = 87
However I could not figure out how to solve these equations! I would be very grateful for some help, Thanks!
Click here to see answer by josmiceli(9698)

Question 71802: I really need help with the promblem 3u+4w=9
-3u-2=-3
Its like everytime i try i can't never find the right anawer for it so can oplease help with this math promblem
Click here to see answer by checkley75(3666)

Question 71809: a rectangular swimming pool is three time as long as it is wide and is surrounded by a deck 2.5 m wide. find the dimensions of the pool if the area of the deck is 265 m^2
Click here to see answer by ankor@dixie-net.com(15667)

Question 71812: a poster is 25 cm taller than it is wide. it is mounted on a piece of cardboard so that there is a 5 cm border on all sides. if the area of the border alone is 1350 cm^2, what are the dimensions of the poster?
Click here to see answer by ankor@dixie-net.com(15667)

Question 72146: I am having difficulty writing a linear system for a word problem about hot sauce.
The Recipe to make Red Hot Sauce:
(Yeild: 1 pint)
1pt tomato sauce
5 green peppers
4 hot chilli peppers
The Problem:
"To fill an order for Sizzlin' Sauce, you bought 1050 green peppers and 1200 hot chilli peppers. Write a system of inequalities to represent the number of pints of each kind of sauce you can make."
I am confused as to where to put the tomato sauce in the equations, and where I should put the variables.
So far, I have figured out that there will be two equations in the system.
The first will be the recipe and the second will be the peppers bought.
I was thinking like this:
{5x + 4y >or= 1
{1050x + 1200y >or= z
but, I think there might be too many variables and also the tomato sauce is not included. How should I set up my system?

Click here to see answer by stanbon(57424)

Question 72158: The difference of fourteen and three times a number is the same as the sum of the number and negative ten. Find the number.
Click here to see answer by checkley75(3666)

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