Tutors Answer Your Questions about Linear Equations And Systems Word Problems (FREE)
Question 980439: The sum of three numbers is14. The second number is the result of subtracting the third from the first, and the third number is the sum of the second and seven times the first. Translate the problem into a system of three equations with three unknowns, and then solve the system to the numbers.
( you can use a method at your convenience to solve the system.)
Click here to see answer by ankor@dixie-net.com(22740)   |
Question 980579: -Adrian and Betty have been teaching for a total of 36 years.
-Charlie and Betty have been teaching for a total of 22 years.
-Charlie and Adrian have been teaching for a total of 28 years.
How long has each been teaching?
Click here to see answer by ikleyn(53763)  |
Question 980579: -Adrian and Betty have been teaching for a total of 36 years.
-Charlie and Betty have been teaching for a total of 22 years.
-Charlie and Adrian have been teaching for a total of 28 years.
How long has each been teaching?
Click here to see answer by Alan3354(69443)  |
Question 980579: -Adrian and Betty have been teaching for a total of 36 years.
-Charlie and Betty have been teaching for a total of 22 years.
-Charlie and Adrian have been teaching for a total of 28 years.
How long has each been teaching?
Click here to see answer by MathTherapy(10809)  |
Question 980600: if 5/7 is added to twice the reciprocal of a number, the result is 1. find the number.
I got 5/7+1/2x=1 for my equation. I am confused about what it means for twice the reciprocal of a number. does it mean that number times two or that number reciprocated twice so its actually just x
Click here to see answer by KMST(5347)  |
Question 980589: A small bag of cement weighs x kg. A large bag of cement weighs four times as heavy as the small bag. A medium bag of cement weighs 5kg lighter than the large bag. Two small bags plus a large bag weigh the same as two medium bags. Find the weight of each bag.
Click here to see answer by macston(5194)  |
Question 980705: A business rents in-line skates and bicycles to tourists on vacation. A pair of skates rents for $15 per day. A bicycle rents for $20 per day. On a certain day, the owner of the business has 25 rentals and takes in $450. Write a system of equation to represent this situation, then solve the system of equations to find the number of each item rented.
Click here to see answer by macston(5194) |
Question 980809: If x represents the amount of medical bills ($), write a function representing the amount of money that you would pay: (for the 20% portion after the initial $50, this can be written as .2(x-50), but that’s not the whole answer!)
Write a function for:
You would pay the first $50 of your medical bills and 20% of all bills after that
Click here to see answer by macston(5194) |
Question 981058: Brian is ordering tickets online for a concert.The price of each ticket for the concert is t dollars. For online orders there is an additional charge of $ 11 per ticket, and a service charge of $ 14 for the entire order. The cost for 7 tickets can be represented by the expression 7 (t+11)+4.Write two expressions equivalent to the cost expression.Then find the total cost of Brian's online order if the price of each ticket for the concert is $33.
Click here to see answer by macston(5194) |
Question 981381: Need steps on how to solve this word problem. Thank you
Based on data from 1998 and 1999, the amount of revenue brought in by parks can be modeled by A(t)=177t+7335 million dollars where t is the number of years since the end of 1998. The amount of revenue brought in by racetracks may be modeled by R(t)=507t+4599 million dollars. Solve the system of equations and explain what the solution means.
Click here to see answer by josgarithmetic(39799) |
Question 981672: Two mechanics worked on a car. The first mechanic charged
$85
per hour, and the second mechanic charged
$110
per hour. The mechanics worked for a combined total of
35
hours, and together they charged a total of
$3350
. How long did each mechanic work?
Click here to see answer by josgarithmetic(39799) |
Question 981994: Red stones that sell for a $1.20/kg is mixed with blue stones that sell for $2.80/kg to make 200g of a mixed bag of stones that will sell for $250/kg. how many grams of each type of stone were added to the bag?
Click here to see answer by macston(5194) |
Question 982091: Write a system of two equations in two unknowns.
On Monday, Archie paid $3.40 for three doughnuts and two coffees. On Tuesday he paid $3.60 for two doughnuts and three coffees. On Wednesday he was tired of paying the tab and went out for coffee by himself. What was his bill for one doughnut and one coffee?
Click here to see answer by Cromlix(4381)  |
Question 982160: The sales tax in one state is 5%. Write a function rule for finding the total cost of an item with selling price x. Then find the total cost of a CD player with a selling price of $110.
A. f(x) = 5 + x; $111.05
B. f(x) = 0.05x; $5.50
C. f(x) = x – 5; $108.95
D. f(x) =1.05x; $115.50
Click here to see answer by olliegray1(1) |
Question 982160: The sales tax in one state is 5%. Write a function rule for finding the total cost of an item with selling price x. Then find the total cost of a CD player with a selling price of $110.
A. f(x) = 5 + x; $111.05
B. f(x) = 0.05x; $5.50
C. f(x) = x – 5; $108.95
D. f(x) =1.05x; $115.50
Click here to see answer by jim_thompson5910(35256) |
Question 982166: The sales tax in one state is 7%. Write a function rule for finding the total cost of an item with selling price x. Then find the total cost of a CD player with a selling price of $150.
f(x) = 7 + x; $151.07
f(x) =1.07x; $160.50
f(x) = 0.07x; $10.50
f(x) = x – 7; $148.93
Click here to see answer by MathLover1(20855)  |
Question 982173:
Jayne has a home-based business putting on children’s parties. She charges $60 to design the party and then $10.00 per child. Write a function rule that relates the total cost of the party to the number of children n.
f(n) = 10 + 60n
f(n) = 60 + 10n
f(n) = 10n – 55
f(n) = 10 – 55n
Click here to see answer by macston(5194) |
Question 982255: Need a formula showing the revenue for a given amount of clothing (in pounds), taking expenses into account.
1 dollar per pound is the price I want to charge a customer
Cost to wash .20 cents
Cost to dry .15 cents
Cost of equipment 35 cents
I want to graph out 0-60 pounds in 5 pound increments
Click here to see answer by rothauserc(4718)  |
Question 982262: Factor and quadratic formulas.
I must find the exact solution. If the solutions are irrational then I must find the approximate solution.
PROBLEM:The width of a rectangle gate is 2 meters (m) larger than the height.the diagonal brace measures the root of 6m. Find the width and height.
Click here to see answer by macston(5194) |
Question 982711: A tool rental store charges a flat fee of $10.00 to rent a chain saw, and $4.25 for each day, including the first. Write an equation that expresses the cost y of renting this saw if it is rented for x days.
Click here to see answer by Cromlix(4381) |
Question 982822: Maya has $15 to spend. She spent $5.50, including tax, to buy a notebook. She needs to save $7.75, but she wants to buy a snack. If cookies cost $0.25 per package including tax, what inequality would show the maximum number of packages that Maya can buy? Solve your inequality by showing your work and steps.
Click here to see answer by josgarithmetic(39799) |
Question 982822: Maya has $15 to spend. She spent $5.50, including tax, to buy a notebook. She needs to save $7.75, but she wants to buy a snack. If cookies cost $0.25 per package including tax, what inequality would show the maximum number of packages that Maya can buy? Solve your inequality by showing your work and steps.
Click here to see answer by MathTherapy(10809) |
Question 982889: George's page contains twice as many typed words as Bill's page and Bill's page contains 50 fewer words than Charlie's page. If each person can type 60 words per minute, after one minute, the difference between twice the number of words on Bill's page and the number of words on Charlie's page is 210. How many words did Bill's page contain initially? Use a table to organize the information.
Click here to see answer by stanbon(75887) |
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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
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