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

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Question 763053: twenty four is divided into two parts such that 7 times the first part added to 5 times the second part makes 146.find each part.
Click here to see answer by Stitch(470)

Question 763111: How many kids out of 27 chose a 2 dip cone and how many chose a 3 dip cone if there were 70 dips total and 27 cones counted?
What are the equations? thanks.
Click here to see answer by josgarithmetic(39621)

Question 763161: A freight train and an express train leave towns 390 km apart, traveling toward one another. The freight train traveles 30 km per hr slower than the express train. They pass one another 3 hrs later. what are their speeds?
Click here to see answer by lwsshak3(11628)

Question 763165: 8 men and 12 boys can finish a piece of work in 10 days while 6 men and 8 boys can finish it in 7 days. Find the time spent by 1 man alone and 1 boy alone to finish the work
Click here to see answer by ramkikk66(644)

Question 763188: U.S. presidents use the following information.
president age at first inauguration
J.CARTER 52
R.REAGAN 69
G.H.W.BUSH
W.CLINTON 46
G.W.BUSH 54
1)if you double president Reagans age at the time of his first inauguration and subtract his age at the time he died, the result is 45 years.how old was president Reagan when he died.
Click here to see answer by lenny460(1073)

Question 763262: I have a problem that is confusing me....the relationship between the number of "D" of dog licenses issued by the city of Denver and it's population "P" can be modeled with a Linear Equation. When the Population was 20,000, the number of licenses issued was 2500. The Rate of increase in the number of licenses issued is 11 for every 200 new residents.
1) find a linear equation that models the relationship between the number of "D" of dog licenses and it's population "P".
2)What is the value of the vertical-intercept? What are the units? What is it's significance?
I am thoroughly stuck. Help me please!
Click here to see answer by josmiceli(19441)

Question 763370: a community center sells 304 tickets for a b-ball game adult tickets are $4.00 and student tickets are $1.00. They collected $589.00 in sells. How many of eack tickets were sold?
Click here to see answer by Cromlix(4381)

Question 763473: true or false, if a line L1 has equation y=mx+b, where m and b are constant with m 1 o, then and equation of a line L2 perpendicular to L1 has the form y=-1/xm+C, where C is constant
Click here to see answer by DrBeeee(684)

Question 763587: If $3 less than three times Karen�s hourly wage is $13.50, then what does Karen make per hour
I got 7.00 would that be correct?
Click here to see answer by josmiceli(19441)

Question 763587: If $3 less than three times Karen�s hourly wage is $13.50, then what does Karen make per hour
I got 7.00 would that be correct?
Click here to see answer by Cromlix(4381)

Question 763476: On a certain hot summer's day, 754 people used the public swimming pool. The daily prices are $1.50 for children and $2.25 for adults. The receipts for admission totaled $1422.00. How many children and how many adults swam at the public pool that day?
Click here to see answer by Cromlix(4381)

Question 763755: One number is 1 less than a second number. Twice the second number is
20 less than 4 times the first. Find the two numbers? I can never figure out how to set these equations up, could you show me the proper steps. Thank you very much.
Click here to see answer by MathTherapy(10555)

Question 763797: if the sum of a number and 4 is subtracted from 20 the result is 3 times the number. find the number
Click here to see answer by MathLover1(20850)

Question 763852: Five times a number is six more than three times the number. Find the number.
Click here to see answer by unlockmath(1688)

Question 763884: I really need help!! Please show me how to solve this problem.
3x+2y+z=-5
x-3y+2z=28/3
-6x+y+2z=-5.
It says to use any method. Please help!!
Click here to see answer by ramkikk66(644)

Question 763928: You are saving $100 a week to buy a new computer. Your brother is saving at a weekly rate of 10x-2, if x = the number of weeks of saving. In how many weeks will you both have equal amounts of money?
Click here to see answer by stanbon(75887)

Question 764039: A rectangular piece of land, bounded on one side by a river, is to be fenced on the other three sides. What is the largest possible area that can be enclosed by 300 meters of fencing? Complete the square to find the maximum area.
Click here to see answer by josgarithmetic(39621)

Question 764120: The present age of a woman is 3 years more than three times the age of her daughter. Three years hence, the woman's age will be 10 years more than twice the age of her daughter. Find their present age.
Click here to see answer by josgarithmetic(39621)

Question 763952: To order tickets for a show, there is a $5.00 service fee, plus the cost of the tickets. If the cost of the whole order is $105.00, and 8 tickets were ordered, how much does each ticket cost?

Click here to see answer by Cromlix(4381)

Question 764243: A water park charges $6 for admission and $1.50 for each ride ticket. You have $36. How many ride tickets can you buy?
Click here to see answer by Cromlix(4381)

Question 764361: Two fifths of the automobiles entering the city every morning will be parked in city parking lots. These cars fill 5282 parking spaces. How many cars enter the city each morning?
Click here to see answer by rfer(16322)

Question 764435: Two mechanics work on a care. The first mechanice for 20 hours the second mechanic for 5 hours. Together they charged $1650. what was the total charge of the two mechanics if together they charged $135.
First mechanic per hour
second mechanic per hour
Click here to see answer by josgarithmetic(39621)

Question 764575: A cruise boat travels 96 miles downstream for 2 hours and returns to its starting point upstream in 6 hours. What is the speed of the stream?
Click here to see answer by stanbon(75887)

Question 764609: a test is contains 35 questions worth a total of 100 points there are seven-point questions ans two point questions how many two point questions are there how many seven point questions are there... can u help me please (:

Click here to see answer by ramkikk66(644)

Question 764518: The sum of a two digit number is 15 . If the digits are reversed , the number formed is 27 less than the original number . Find the original number
Click here to see answer by ankor@dixie-net.com(22740)

Question 764723: A rectangular cake is 12 inches by 14 inches. Use the appropriate formula model to find the perimeter.
What is the perimeter of this cake? Include units with your answer.
Click here to see answer by Cromlix(4381)

Question 764747: define variables and write an equation to model the relationship in the table
payment change
$1 $9
$2 $8
$3 $7
Click here to see answer by MathLover1(20850)

Question 764742: Neglecting air resistance, the height of a projectile fired vertically into the air at an initial velocity of 112 feet per second is a function of time x and is given by the equation f(x) = 112x - 16x2. Find the highest point reached by the projectile.
Click here to see answer by josmiceli(19441)

Question 764946: A basketball team made 45 field goals in their last game. Some field goals were worth 2 points and others were worth 3 points. The team scored a total of 101 points from field goals in their game. how many 2 point field goals were made?
Click here to see answer by stanbon(75887)

Question 764969:
How many milliliters of a(n) 60% acid solution should we add to 300 milliliters of a(n) 90% acid solution to get a(n) 64.5% solution?
Click here to see answer by stanbon(75887)

Question 765794: You are playing Guess Your Card with three (3) other players. Here is what you see:
�Andy has the cards 1, 5, and 7
�Belle has the cards 5, 4, and 7
�Carol has the cards 2, 4, and 6
Andy draws the question card, �Do you see two (2) or more players whose cards sum to the same value?� He answers, �Yes.�
Next Belle draws the question card, �Of the five (5) odd numbers, how many different
odd numbers do you see?� She answers, �All of them.�
Andy suddenly speaks up. "I know what I have," he says. "I have a 1, a 5, and a 7."
Write a one to three (1-3) page paper in which you:
1.Summarize the salient facts of the problem.
2.Explain your strategy for solving the problem.
3.Present a step-by-step solution of the problem.
4.Clearly state your answer.

Click here to see answer by solver91311(24713)

Question 765834: The accounting department has been tracking the price of an item over several varying time periods. It first cost $0.05, then $0.10, then $0.30, then $1.20, then $6, then $36 in the current period.
If this trend were to continue, how much would this item cost in the next time period?
Click here to see answer by MathTherapy(10555)

Question 765952: the sum of two numbers is 54 twice the smaller number is 6 more than the larger number.find the numbers..can you give me the solution.?

Click here to see answer by MaartenRU(13)

Question 765955: a rope 75m. long is cut into two pieces where one is 11m. longer than the other.find their length.can you give me the solution.?
Click here to see answer by MaartenRU(13)

Question 765960: the difference between two positive integers is 8 and their sum is 50.find the numbers.can you give me the solution.? THANKSS!!
Click here to see answer by ramkikk66(644)

Question 765953: the difference between two positive integers is 8 and their sum is 50.find the numbers. can you give me the solution.?

Click here to see answer by ramkikk66(644)

Question 538314: Your group has decided to open a small business selling office supplies by mail order. One of the items you want to sell is a box of dry erase markers. Each box contains 20 markers and the customer will pay for the postage. An important thing to decide is the best price to charge for the markers. After doing some market research, you found that if the box of markers costs $30.00, plus postage, no one would buy it. However, if you charge nothing, but the customer still pays for the postage, you can sell 1200 boxes of markers per month. The best price will be somewhere between these extremes.
Answer the following questions:
You must show all work in order to receive full credit. Draw a box around your answers.
Part I
1. Assume there is a linear relationship between the number of boxes sold per month (n) and their price (p). Use the information provided to graph this relationship.

2. Use your graph to find the linear function n(p) = ________________ that describes the situation.

Click here to see answer by Stevens123(1)

Question 766179: you get 5 packages of paper for $3.00 how much is each package? round to the nearest cent.
Click here to see answer by rfer(16322)

Question 766366: Alicia is now 12 years old and Ravina is 24 years old. How many years ago was Alicia 3times as old as Ravina?
Click here to see answer by stanbon(75887)

Question 766430: The sum of two numbers is 27. They have a difference of 3. Set up a system of equations and use it to find the two numbers.
Click here to see answer by Cromlix(4381)

Question 766528: one cake is a rectangular with a length of 14 inches,a width of 9 inches, and a height of 3 inches. the other is a round cake with radius of 5 inches and a height of 4 inches. which cake do you prefer to buy if they coast the same price? why?

Click here to see answer by ramkikk66(644)

Question 766635: Evan has a problem. As part of his job, he is responsible for stocking and monitoring the inventory of chewing gum at a number of convenience and grocery stores. The gum is sold in individual packs for $1.19 per pack, and in 10-pack bags for $7.50. Unfortunately, he has lost his paperwork for one of the stores. He doesn't know how many packs of gum were sold individually and how many packs of gum were sold as part of a 10-pack. If he can't work backwards to find the answer, he'll be in big trouble with his boss. Let's see if we can help, and show how much we've learned about systems of equations at the same time. This is what Evan does know: 500 packs of gum were sold, and the total sales were $515.80. Write two equations to model the situation.
I have looked at this problem for about an hout. I seem to feel like I make it harder than it seems.
Click here to see answer by MathTherapy(10555)

Question 766650: Please help me solve this problem.
The sum of a number and thrice its reciprocal is four. Find each number and it's reciprocal.
(my book says thrice, that's not me)
Click here to see answer by josmiceli(19441)

Question 766656: Tom discovered that if he sums the suqares of a number and another number which is one less than twice the first number the result is two. Find Tom's numbers.
Click here to see answer by stanbon(75887)

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