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 596766: A number squared plus three times the number squared equals 81, find the number.
Click here to see answer by unlockmath(1688)

Question 597014: terry did all 25 problems on his test and got an 85. scores are computed by giving 4 points for each right answer and subtracting one for each wrong answer. how many problems did terry get right and wrong?
Click here to see answer by math-vortex(648)

Question 597012: how could you cut a 50- meter rope into three pieces- two of the same length and the third, 8 meters longer than the other two?
Click here to see answer by josmiceli(19441)

Question 597049: the perimeter of the rectangle is 50 write a linear equation in two variables, to find x when y is 20
Click here to see answer by racoon(5)

Question 597144: ticket for a show cost $5 for the balcony seat and $12 for the orchestra seat.on sunday 300 ticket were sold for the amount of $2410.how many of each type of ticketa wee sold that day
Click here to see answer by solver91311(24713)

Question 597111: A machine can box 300 pounds of raisins in an hour and a half. How long will it take the machine to box 500 pounds? How many pounds of raisins can the machine box in 8 hours?
Click here to see answer by richwmiller(17219)

Question 597115: Maggie moved into a new house and was planning how to design the yard. Sitting on the front steps one day, she visualized a triangular flower bed, with one side along the right-hand edge of the straight front walkway from the steps to the road (as viewed from her vantage point on the steps).
The edge of the flowerbed closest to the house would start 2 feet from the steps, and would slope at a rate of 1 foot toward the street for every 4 feet to the right. The far edge of the triangle would begin at the edge of the walkway 9 feet from the steps. This side would slope at a rate of 5 feet toward the house for every 8 feet to the right.
Help Maggie draw up her flowerbed plans by representing the right-hand edge of the straight front walkway by the y-axis, the line containing the bottom edge of the bottom step as the x-axis, and the corner where the edge of the sidewalk meets the steps just below Maggie�s right foot as she sits on the steps by the origin. This places the region where she wants the flowerbed in the first quadrant. Maggie wants to plant a dogwood tree at the corner of this triangular flowerbed where the two angled sides meet.
Find an equation for each of the two angled sides
Find the coordinates of their point of intersection
Graph the region
Find the area of this triangular flowerbed
Show the position of the dogwood tree on your graph

totally lost, any help would be awesome!! :)
Click here to see answer by solver91311(24713)

Question 597288: Hi, I'm studying for a midterm test for Algebra 1, and came upon a word problem that got me thinking. I normally do fine with word problems, but this one is hard for me to comprehend. Thank you so much for the help! It is truly greatly appreciated.
Word Problem:
"A jar contains a total of 50 coins, consisting of nickels and dimes. The value of all the coins in the jar is $5.25. Determine the system of equations that would be used to find the solution."
I know that there should be two equations, and that I should use elimination/substitution to solve them, but I don't know how or where to begin. Thanks again!
-JG
Click here to see answer by scott8148(6628)

Question 597401: A car�s speed is 30 miles per hour, and it begins to slow down at a constant rate of 6 miles per hour every 4 seconds.
a) Write a linear function that relates the speed of the car S with the time since it began slowing down t.
b) How fast will the car be going after 10 seconds?
Click here to see answer by josmiceli(19441)

Question 597621: Word problem and having a hard time setting this up. I want to write it as, 40=x+(5+y) what am I doing and what should I be doing?
THanks
Admission to the zoo costs $5 more for an adult than for a child. Admission for two adults and two children costs $40. Find the cost of each adults admission and each childs admission.
Click here to see answer by ankor@dixie-net.com(22740)

Question 598116: A chemist is mixing a solution that is 32% sodium and another solution that is 12% sodium. How many liters of each type should the chemist use to produce 50 liters of the solution that is 20% sodium?
Click here to see answer by stanbon(75887)

Question 598117: A community sponsored a charity square dance where admission was $3 for adults and $1.50 for children. If 168 people attended the dance and the money raised was $432, how many adults and how many children attended the dance?
a. What are the two system of equations that you could write to sole this problem?
b. What would you use to solve the system? Why?
c. How many adults and how many children attended the dance?
Click here to see answer by stanbon(75887)

Question 598229: There are twenty-seven animals in a barn. Some are chickens some are cows. There are 90 legs in all. How many of each animal are in the barn?
Click here to see answer by solver91311(24713)

Question 598166: The sum of an integer and the next greater integer is at least 35. Find the least pair of such integers.

Click here to see answer by math-vortex(648)

Question 598255: I have a word problem...it says, Suppose you are considering signing up for a cell phone service which offers two calling plans, The Lifeline Plan: Monthly access fee of $26.95 and $0.45 per minute for Airtime. The Extended Plan: Monthly access fee: $26.95 and $0.24 per minute for Airtime &**100 FREE minutes per month.
It now says, Write the "BREAK EVEN" equation. That is, for how many minutes wil the cost of the Lifeline plan equal the cost of the Extended plan? Solve the equation.

Click here to see answer by solver91311(24713)

Question 598056: Together Fred, Sam, and Joe have $31. Use a system of equations to find the amount of money that Joe has if sam has $3 less than Fred and Joe has $1 more than Fred and Sam combined.
I need to know how you got the answer so please show the steps. Thanks!
Click here to see answer by ankor@dixie-net.com(22740)

Question 598472: Mary is driving to San Francisco. Suppose that the remaining distance to drive (in miles) is a linear function of her driving time (in minutes). When graphed, the function gives a line with a slope of -0.9 .
Mary has 75 miles remaining after 50 minutes of driving. How many miles will be remaining after 64 minutes of driving?

Click here to see answer by htmentor(1343)

Question 598753: Stephen and Sara are brother and sister. Stephen has twice as many sisters as he has brothers. Sara has the same number of brothers as sisters.
A)Set up a system of equations to model this situation. How did you figure out what each equation would be? Let d be the number of daughters that Stephen and Sara's parents have, and s be the number of sons that Stephen and Sara's parents have.
B)How many sisters does Stephen have?
C)How many sisters does Sara have?
D)How many brothers does Stephen have?
E)How many brothers does Sara have?
Click here to see answer by josmiceli(19441)

Question 598935: There are 461 students and 20 teachers taking buses on a trip to a museum. Each bus can seat a maximum of 52. What is the least number of buses needed for the trip?
Click here to see answer by josmiceli(19441)

Question 599007: Decide is the given number is a solution to the given equation.
p+6 = 21;15
yes or no
Click here to see answer by Alan3354(69443)

Question 599011: A high school graduating class is made up of 485 students. There are 69 more girls than boys. How many boys are in the class?
Click here to see answer by flame8855(424)

Question 599026: Forty-two less than three times the square of a number is equal to the product of -11 and the number. What are the solutions?
Click here to see answer by flame8855(424)

Question 598934: the element decays at the rate of S(t)=se^-0.036t, where t is time in yrs and s the initial size in grams. If you have a 83-gram piece of this element how many grams will have in 2 yrs from now? round to nearest tenth of a gram.
Click here to see answer by ankor@dixie-net.com(22740)

Question 599107: Please help as soon as possible!
Write an equation for each line.
the line with slope of -2/3 and crosses the x-axis at -7

Click here to see answer by flame8855(424)

Question 599151: the sum of two numbers is76 their difference is 12. find the numbers

Click here to see answer by jim_thompson5910(35256)

Question 599666: One more then I'm done, my son has another problem on his homework that calls for the Gaussian elimination method with back substitution to solve the given system of these linear equations. would some be will to help explain this process a little clearer. the equations were -9x-45y= -27
x- y= -1
thanks in advance shannii
Click here to see answer by lynnlo(4176)

Question 599846: Ann has some dimes and quarters. if she has 25 coins worth 4.45 how many of each type does she have?

Click here to see answer by Alan3354(69443)

Question 599990: The numerator of a fraction is 2 more than the denominator. If denominator is doubled at the numerator is decreased by 1, the sum of the original fraction and the new one is 7/3. Find the original fraction.
Click here to see answer by ankor@dixie-net.com(22740)

Question 600328: A store is offering a 12% discount on all items in its inventory. write a linear equation for the sale price s if the list price is p.
Click here to see answer by stanbon(75887)

Question 601479: your gross pay is 450 your net pay is 315 how much do you pay in taxes

Click here to see answer by jim_thompson5910(35256)

Question 601389: A rectangular cornfield is meters wide and meters long. How much longer is the cornfield than it is wide?
Click here to see answer by Alan3354(69443)

Question 601557: A rocket is fired in te air from the top of a building that is 200 feet tall. the initial velocity of the rocket is 600 feet per second. a. write the height function b. When does the rocket reach it maximum height
c. What is the rocket's maximum height d. when does it hit the ground?
Click here to see answer by nerdybill(7384)

Question 601583: A man goes into a grocery store and buys a grapefruit and a toy ball. A 7% tax is applied
to the price of non-food items. If the total bill is $5.15, including $0.18 in tax on the toy
ball, what are the prices of the grapefruit and the ball?

Click here to see answer by nerdybill(7384)

Question 601725: system of three equations
you are given $144.00, in one, five and ten dollar bills. There are 35 bills. The number of ten-dollar bills is two more than the number of five-dollar bills. How many bills of each type are there?
Click here to see answer by solver91311(24713)

Question 601860: The units digit of a two-digit number is double the tens digit.If the digit are reversed,the new number is 27 more than the original number.determine the digits.
Click here to see answer by stanbon(75887)

Question 602016: Need a equation for 33,000 4.9% rate
Click here to see answer by Alan3354(69443)

Question 602129: Please show all work. Thanks in advance.
Solving using a system of two equations and two unknowns.
A computer parts company wants to make a rectangle memory board that has a perimeter of 34cm and a diagonally of length 13cm. Find the dimensions of a board. Consider the length to be the longer side.

Click here to see answer by mananth(16949)

Question 602356: Initial bird population of 1945; there are 11,000 birds after 25 years; the population doubles every 10 years; how many birds do you have after 28 years?
Click here to see answer by josmiceli(19441)

Question 602457: Whats the solution to this equation: Two angles are supplementary. The measure of one angle is 10 more than three times the other. Find the measure of each angle.
Click here to see answer by stanbon(75887)

Question 602605: We are currently working with linear functions and there is a story problem I cannot seem to understand:
A person invested $17,000 for one year, part at 10%, part at 12%, part at 15%. The total annual income from these investments was $2,110. The amount of money invested at 12% was $1,000 less than the amount invested at 10% and 15% combined. Find The amount invested at each rate.
Click here to see answer by stanbon(75887)

Question 602640: A person invested $17,000 for one year,part at 10%, part at 12%, part at 15%. The total annual income from these investments was $2,110. The amount of money invested at 12% was $1,000 less than the amount invested at 10% and 15% combined. Find the amount invested at each rate.
Click here to see answer by solver91311(24713)

Question 603101: There are thirty-three students in the Chess Club. There are five more boys than girls in the club. Write and solve a system of equations to find the number of boys and girls in the Chess Club.
Click here to see answer by mananth(16949)

Question 603259: if the first of two consecutive integers is multiplied by 3, this product is 20 more than the sum of the two integers. find the integers.

Click here to see answer by ankor@dixie-net.com(22740)

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, 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7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405