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 753059: I've been stuck on this problem since Friday. Help please.
The length of a rectangle is 4 inches shorter than twice the width. If the perimeter of the rectangle is 34 inches, find the length and the width of the triangle.
The answer on the paper is L=10 W=7
Click here to see answer by MathTherapy(10809)

Question 753174: tom has 300 tickets he wants to sell 180 in advance what percenage of tickets does he want to sell in advance

Click here to see answer by josmiceli(19441)

Question 753146: how much pure alcohol should be added to 600ml,15% alcohol solution to make it contain 25% alcohol?
Click here to see answer by josmiceli(19441)

Question 753232: If 424,904 is 41% of a total number, how can I determine what the total number is? In other words, what would be the number for the 51%?
Thank you!
Click here to see answer by josmiceli(19441)

Question 753324: solve equations:
5x+2y=3.55
3x+3y=2.85
Click here to see answer by MathLover1(20855)

Question 753404: there are 97 plates in a box.if a restaurant bought 70 boxes,how many plates would they have in total?
Click here to see answer by solver91311(24713)

Question 752091: I have been trying to turn this word problem into a linear equation for a week now with no success. Can you help?
A downtown employee is looking for the best option for parking a car during a 5 day work week. Garage A offers unlimited parking at a flat rate $150.00 per month. Garage B offers an hourly rate of $5.00 for parking. Which option is best for the employee on a monthly basis?
The employee is parking 160 hours per month. This is a word problem that I had to come up with on my own make 2 linear equations out of it and then graph it and show where they intercept.
Any help would be appreciated. Thank you!
Click here to see answer by john7896(1)

Question 753746: Ben saves $35 every week. He used a calculator to figure out the total amount he would have in a year. He got a total of $1,300. is his answer correct? How do you know

Click here to see answer by stanbon(75887)

Question 753794: The denominator of a positive common fraction is 3 more than its numerator. If 5/28 is added to this fraction, the result is the same as the positive difference between the reciprocal of the original fraction and 1. What is the common fraction?
Here is the equation I come up with but I have stalled...
(x/x+3)+ 5/28 = (x+3/x)-1
Click here to see answer by josgarithmetic(39799)

Question 753655: Use the equation below and the indication value to find an ordered pair that is a solution. Y=3x-1 let x=5
Click here to see answer by KMST(5347)

Question 753654: Use the equaation below and the indication value to find an ordered pair that is a solution y=3x-1 let x=5
Click here to see answer by KMST(5347)

Question 753825: Please help me: A boat travels for 7 hours. If it tavels 4 hours downstream and 3 hours upstream then it covers the distance of 116 km. But if it travels 3 hours downstream and 4 hours upstream, it covers the distance of 108 km. Find the speed of a boat?

Click here to see answer by lwsshak3(11628)

Question 753844: Latoya purchased a prepaid phone card for $30. Long distance calls cost 9 cents a minute using this card. Latoya used her card only once to make a long distance call. If the remaining credit on her card is $26.67, how many minutes did her call last?
Click here to see answer by PLBROWN(1)

Question 753910: DEVELOP AN ALGEBRAIC EQUATION WITH CLEARLY DEFINED VARIABLES TO REPRESENT THE COST OF EACH OPTION.
A STUDENT IS PREPARING TO TAKE AN ETHICS COURSE AND TRYING TO DECIDE WHETHER TO RENT OR BUY HIS TEXT BOOK. TO RENT THE TEXT BOOK IT WOULD COST 13.99 PER MONTH AND TO BUY THE TEXT BOOK IT WOULD COST 73.99. THE COURSE TAKES AN AVERAGE OF 6 WEEKS TO COMPLETE.
the definition is to create an algebraic equation, and I plugged those numbers in but I cant help but feel like im missing something because we want to solve for y and x is the number of weeks I think, so:
y=13.99x or y=73.99
and thats where im stuck.
Click here to see answer by fcabanski(1391)

Question 754197: -1.5z = -4.5
Click here to see answer by tommyt3rd(5050)

Question 754224: hello sir can we take more 8 digits in simultaneous equation on plotting it on graph
Click here to see answer by Alan3354(69443)

Question 754314: One number is 8 times as large as another. Their difference is 21. What is the larger number?
Click here to see answer by rfer(16322)

Question 754452: Lee is 18. His father is 48. In how many years will Lee's father be twice as old as Lee will be.
Click here to see answer by stanbon(75887)

Question 754456: The sum of three consecutive integers is 45. Find the value of the smallest integer.
Click here to see answer by stanbon(75887)

Question 754454: Mary has a stick that is 68 inches long. She wishes to cut it into two pieces so that one piece will be 11 inches longer than the other. How long should the longer piece be?
Click here to see answer by stanbon(75887)

Question 754486: The sum of the first number and the square of a second number is 18. The difference between the square of the second number and twice the first number is 12.
A) Write a system of equations to represent this situation
B)Solve the system to determine the numbers
Click here to see answer by lwsshak3(11628)

Question 754546: total weight of bag containing 13 kg 750gm of apples & 8kg 200gm of oranges is 22kg 250 gm . hoe much is the weight of empty bag?
Click here to see answer by Cromlix(4381)

Question 754738: You are a sushi chef and you have a piece of maguro(Bluefin) that is 13cm long. You need to slice it so that one piece of the fish is 4 cm longer than the other. How long is each slice?
Click here to see answer by stanbon(75887)

Question 754834: the total cost of a sweater and tie was $98.85.if the price of the sweater was $2.19 less than the cost of the tie, what is the cost of the sweater?
Click here to see answer by sachi(548)

Question 754857: please help to solve this word problem
when a car travel at steady speed of v(km/h) on the main road, it covers a distance of s(km) in two hours. if the same car travels at a steady speed of 2v(km/h) it cover (s+5)km in two hours. find the value of speed
Click here to see answer by ankor@dixie-net.com(22740)

Question 755235: a brick weights 777 grams plus half a brick . how heavy is the brick?
Click here to see answer by Cromlix(4381)

Question 755223: I require assistance with this question,
"Jim had x Marbles and Won 18. How many does he have now? When Jim counted his marbles he found he had three times as many as when he started. How many did he have to start with?"
I believe he has x + 18 in the first question but im confused with what i should do with the second one.
Click here to see answer by Menjax(62)

Question 755303: Can you show me how to right down 1 60 th of 20
Dollars

Click here to see answer by Cromlix(4381)

Question 755186: each bus holds 40 students and 3 teacher and costs $1200 to rent. Each van holds 8 student and 1 teacher and cost $100 to rent. The school has at least 400 student wanting to go, but at most 36 teachers. What is the minimum transportation cost? Make V ans equal "x"
Click here to see answer by josgarithmetic(39799)

Question 755489: 4x + 7y = -16
6x - y = -24
solve using elimination method
Click here to see answer by pragya.ban@gmail.com(32)

Question 755637: An investor plans to invest $15,000 at 7.25% compounded continuously. How long will it take to double the investment using A=Pe^rt
Click here to see answer by stanbon(75887)

Question 755792: A store mixes red fescue worth $12.oo per pound & chewings fescue worth $16.00 per pound. Find out how much of each should be used to make a 192 pound mixture.
Click here to see answer by Alan3354(69443)

Question 756169: use the elimination method 5x+y=40 3x+2y=24
Click here to see answer by Alan3354(69443)

Question 756227: The specifications of a solution require 6.5 liters of a 26% solution. There are premixed solutions of 10% and 50%. Write a system of equations in terms of x and y to calculate the number of liters of each premixed solution that you must use to create the specified solution.
Solve the system of equations to determine how many liters of each solution you need to use.
Number of liters of 10% solution...
Number of liters of 50% solution...
Someone has ordered 1 liter of 5% solution. Can you create this solution? Explain.
Someone else has ordered 3 liters of a 64% solution. Can you create this solution? Explain.
Click here to see answer by josgarithmetic(39799)

Question 756437: Over the weekend, Rachel and Morgan drove to Chicago to go shopping. Now they're preparing to go home. Morgan needs gas for her jeep, which gets 27 miles per gallon for gas mileage. When she stops at the gas station, she already has 8 gallons of gas in her tank. She buys more gas for $1.50 per gallon. If Morgan spends $17.50 on gas, what is the total distance the girls could travel? Round, if necessary, to the nearest tenth.

Click here to see answer by Cromlix(4381)

Question 756530: The sum of digit of a 2digit number is 9 the number obtained by interchanging the digits exceed the given number by 27 find the given number
Click here to see answer by nihar*2013(34)

Question 756504: a man was allowed to spend 12000 naira for a holiday. if he spends 100 naira less per day he would have had opportunity for additional 4 days with the same amount. how many days of holiday were approved for him?
Click here to see answer by MathTherapy(10809)

Question 756571: Please help me solve this word equation using two equations and two variables.
Al travels 600km in 11h, partly by car at 60km/hr and the rest by train at 50km/hr. How long did he travel by each mode?
Click here to see answer by ankor@dixie-net.com(22740)

Question 756685: ax/b-by/a=a+b;ax-by=2ab
Please help me solve this equation

Click here to see answer by Gogonati(855)

Question 756685: ax/b-by/a=a+b;ax-by=2ab
Please help me solve this equation

Click here to see answer by dkppathak(439)

Question 756756: if there are 3 marbles in a jar on day 1 and it is doubled from the day before what equation. can be used?
Click here to see answer by Alan3354(69443)

Question 756853: Two cyclists start out at the same time, 288 km apart and travel towards each other. If one cyclist travels 8 km/h faster than the other, they meet in 4 hours. Find the speed of each.
Click here to see answer by josmiceli(19441)

Question 756908: There are 46 boys and girls that attend a play. There are 8 more girls than boys. Let X be the number of girls and Y be the number of boys. How many boys and girls attended the dance?
Click here to see answer by dkppathak(439)

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, 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